135450973440
135,450,973,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135450973440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
135450973440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 135450973440:
28 × 34 × 5 × 17 × 31 × 37 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 31 × 37 × 67)See below for interesting mathematical facts about the number 135450973440 from the Numbermatics database.
Names of 135450973440
- Cardinal: 135450973440 can be written as One hundred thirty-five billion, four hundred fifty million, nine hundred seventy-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3545097344 × 1011
Factors of 135450973440
Divisors of 135450973440
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 31 32 34 36 37 40 45 48 51 54 60 62 64 67 68 72 74 80 81 85 90 93 96 102 108 111 120 124 128 134 135 136 144 148 153 155 160 162 170 180 185 186 192 201 204 216 222 240 248 255 256 268 270 272 279 288 296 306 310 320 324 333 335 340 360 370 372 384 402 405 408 432 444 459 465 480 496 510 527 536 540 544 555 558 576 592 603 612 620 629 640 648 666 670 680 720 740 744 765 768 804 810 816 837 864 888 918 930 960 992 999 1005 1020 1054 1072 1080 1088 1110 1116 1139 1147 1152 1184 1206 1224 1240 1258 1280 1296 1332 1340 1360 1377 1395 1440 1480 1488 1530 1581 1608 1620 1632 1665 1674 1728 1776 1809 1836 1860 1887 1920 1984 1998 2010 2040 2077 2108 2144 2160 2176 2220 2232 2278 2294 2295 2304 2368 2412 2448 2479 2480 2511 2516 2592 2635 2664 2680 2720 2754 2790 2880 2960 2976 2997 3015 3060 3145 3162 3216 3240 3264 3330 3348 3417 3441 3456 3552 3618 3672 3720 3774 3840 3968 3996 4020 4080 4154 4185 4216 4288 4320 4352 4440 4464 4556 4588 4590 4736 4743 4824 4896 4958 4960 4995 5022 5032 5184 5270 5328 5360 5427 5440 5508 5580 5661 5695 5735 5760 5920 5952 5994 6030 6120 6231 6290 6324 6432 6480 6528 6660 6696 6834 6882 6885 6912 7104 7236 7344 7437 7440 7548 7905 7936 7992 8040 8160 8308 8370 8432 8576 8640 8880 8928 9045 9112 9176 9180 9435 9472 9486 9648 9792 9916 9920 9990 10044 10064 10251 10323 10368 10385 10540 10656 10720 10854 10880 11016 11160 11322 11390 11470 11520 11840 11904 11988 12060 12240 12395 12462 12555 12580 12648 12864 12960 13056 13320 13392 13668 13764 13770 14208 14229 14472 14688 14874 14880 14985 15096 15810 15984 16080 16320 16616 16740 16864 16983 17085 17152 17205 17280 17760 17856 18090 18224 18352 18360 18693 18870 18972 19296 19499 19584 19832 19840 19980 20088 20128 20502 20646 20736 20770 21080 21312 21440 21708 21760 22032 22311 22320 22644 22780 22940 23680 23715 23808 23976 24120 24480 24790 24924 25110 25160 25296 25728 25920 26640 26784 27135 27336 27528 27540 28305 28416 28458 28944 29376 29748 29760 29970 30192 30753 30969 31155 31620 31968 32160 32640 33232 33480 33728 33966 34170 34410 34560 35309 35520 35712 36180 36448 36704 36720 37185 37386 37740 37944 38592 38998 39168 39664 39680 39960 40176 40256 41004 41292 41540 42143 42160 42624 42687 42880 43416 44064 44622 44640 45288 45560 45880 47360 47430 47952 48240 48960 49580 49848 50220 50320 50592 50949 51255 51456 51615 51840 53280 53568 54270 54672 55056 55080 56079 56610 56916 57888 58497 58752 59496 59520 59940 60384 61506 61938 62310 63240 63936 64320 65280 66464 66933 66960 67456 67932 68340 68820 70618 71040 71145 71424 72360 72896 73408 73440 74370 74772 75480 75888 76849 77184 77996 79328 79920 80352 80512 82008 82584 83080 84286 84320 84915 85248 85374 85760 86832 88128 89244 89280 90576 91120 91760 92259 92907 93465 94860 95904 96480 97495 97920 99160 99696 100440 100640 101184 101898 102510 103230 103680 105927 106560 107136 108540 109344 110112 110160 111555 112158 113220 113832 115776 116994 117504 118992 119040 119880 120768 123012 123876 124620 126429 126480 127872 128640 132928 133866 133920 134912 135864 136680 137640 141236 142080 142290 144720 145792 146816 146880 148740 149544 150960 151776 153698 153765 154368 154845 155992 158656 159840 160704 161024 164016 165168 166160 168237 168572 168640 169830 170748 173664 175491 176256 176545 178488 178560 181152 182240 183520 184518 185814 186930 189720 191808 192960 194990 195840 198320 199392 200799 200880 201280 202368 203796 205020 206460 210715 211854 213120 213435 214272 217080 218688 220224 220320 223110 224316 226440 227664 230547 231552 233988 237984 239760 241536 246024 247752 249240 252858 252960 254745 255744 257280 265856 267732 267840 271728 273360 275280 280395 282472 284580 289440 291584 292485 293632 293760 297480 299088 301920 303552 307396 307530 309690 311984 317312 317781 319680 321408 328032 330336 332320 334665 336474 337144 337280 339660 341496 347328 350982 352512 353090 356976 357120 362304 364480 367040 369036 371628 373860 379287 379440 383616 384245 385920 389980 396640 398784 401598 401760 402560 404736 407592 410040 412920 421430 423708 426240 426870 434160 437376 440448 440640 446220 448632 452880 455328 461094 461295 463104 464535 467976 475968 479520 483072 492048 495504 498480 505716 505920 509490 526473 529635 531712 535464 535680 543456 546720 550560 560790 564944 569160 578880 584970 587520 594960 598176 603840 607104 614792 615060 619380 623968 632145 634624 635562 639360 642816 656064 660672 664640 669330 672948 674288 674560 679320 682992 691641 694656 701964 706180 713952 724608 728960 734080 738072 743256 747720 758574 758880 767232 768490 771840 779960 793280 797568 803196 803520 805120 815184 820080 825840 841185 842860 847416 853740 868320 874752 877455 880896 881280 892440 897264 905760 910656 922188 922590 929070 935952 951936 953343 959040 984096 991008 996960 1003995 1011432 1011840 1018980 1052946 1059270 1070928 1071360 1086912 1093440 1101120 1121580 1129888 1137861 1138320 1152735 1157760 1169940 1189920 1196352 1207680 1214208 1229584 1230120 1238760 1247936 1264290 1271124 1278720 1306433 1312128 1321344 1329280 1338660 1345896 1348576 1358640 1365984 1383282 1389312 1403928 1412360 1427904 1449216 1457920 1468160 1476144 1486512 1495440 1517148 1517760 1536980 1559920 1579419 1586560 1588905 1595136 1606392 1607040 1630368 1640160 1651680 1682370 1685720 1694832 1707480 1736640 1754910 1762560 1784880 1794528 1811520 1821312 1844376 1845180 1858140 1871904 1896435 1903872 1906686 1918080 1968192 1982016 1993920 2007990 2022864 2023680 2037960 2074923 2105892 2118540 2141856 2173824 2186880 2202240 2243160 2259776 2275722 2276640 2305470 2315520 2339880 2379840 2392704 2415360 2459168 2460240 2477520 2495872 2528580 2542248 2612866 2624256 2632365 2642688 2658560 2677320 2691792 2697152 2717280 2731968 2766564 2807856 2824720 2855808 2860029 2952288 2973024 2990880 3034296 3035520 3073960 3119840 3158838 3173120 3177810 3212784 3214080 3260736 3280320 3303360 3364740 3371440 3389664 3413583 3414960 3458205 3473280 3509820 3569760 3589056 3623040 3642624 3688752 3690360 3716280 3743808 3792870 3813372 3836160 3919299 3936384 3964032 3987840 4015980 4045728 4075920 4149846 4211784 4237080 4283712 4347648 4373760 4404480 4486320 4519552 4551444 4553280 4610940 4679760 4759680 4766715 4785408 4918336 4920480 4955040 4991744 5057160 5084496 5225732 5264730 5354640 5383584 5394304 5434560 5463936 5533128 5615712 5649440 5689305 5711616 5720058 5904576 5946048 5981760 6068592 6071040 6147920 6224769 6239680 6317676 6355620 6425568 6521472 6532165 6560640 6606720 6729480 6742880 6779328 6827166 6829920 6916410 6946560 7019640 7139520 7178112 7246080 7377504 7380720 7432560 7487616 7585740 7626744 7838598 7872768 7897095 7928064 7975680 8031960 8091456 8151840 8299692 8423568 8474160 8567424 8972640 9039104 9102888 9106560 9221880 9359520 9519360 9533430 9836672 9840960 9910080 10114320 10168992 10374615 10451464 10529460 10709280 10767168 10788608 10869120 10927872 11066256 11231424 11298880 11378610 11440116 11757897 11809152 11892096 11963520 12137184 12295840 12449538 12479360 12635352 12711240 12851136 13042944 13064330 13121280 13213440 13458960 13485760 13558656 13654332 13659840 13832820 14039280 14279040 14300145 14356224 14755008 14761440 14865120 14975232 15171480 15253488 15677196 15794190 16063920 16182912 16303680 16599384 16847136 16948320 17067915 17134848 17945280 18205776 18213120 18443760 18719040 19066860 19596495 19673344 19681920 19820160 20228640 20337984 20749230 20902928 21058920 21418560 21534336 21738240 22132512 22462848 22597760 22757220 22880232 23515794 23618304 23784192 23927040 24274368 24591680 24899076 24958720 25270704 25422480 25702272 26128660 26917920 26971520 27117312 27308664 27319680 27665640 28078560 28558080 28600290 29510016 29522880 29730240 30342960 30506976 31123845 31354392 31588380 32127840 32365824 32607360 33198768 33694272 33896640 34135830 35273691 35890560 36411552 36887520 37438080 38133720 39192990 39363840 39640320 40457280 40675968 41498460 41805856 42117840 42837120 43068672 44265024 44925696 45195520 45514440 45760464 47031588 48548736 49183360 49798152 50541408 50844960 51404544 52257320 53835840 53943040 54617328 54639360 55331280 56157120 57200580 58789485 59020032 59045760 59460480 60685920 61013952 62247690 62708784 63176760 64255680 65214720 66397536 67388544 67793280 68271660 70547382 71781120 72823104 73775040 74876160 76267440 78385980 80914560 81351936 82996920 83611712 84235680 85674240 88530048 91028880 91520928 94063176 97097472 98366720 99596304 101082816 101689920 104514640 105821073 107671680 109234656 110662560 112314240 114401160 117578970 118091520 118920960 121371840 122027904 124495380 125417568 126353520 128511360 132795072 134777088 135586560 136543320 141094764 145646208 147550080 152534880 156771960 161829120 165993840 167223424 168471360 176368455 177060096 182057760 183041856 188126352 199192608 202165632 203379840 209029280 211642146 215343360 218469312 221325120 224628480 228802320 235157940 242743680 244055808 248990760 250835136 252707040 257022720 265590144 273086640 282189528 291292416 295100160 305069760 313543920 331987680 334446848 336942720 352736910 364115520 366083712 376252704 398385216 404331264 406759680 418058560 423284292 436938624 442650240 457604640 470315880 485487360 497981520 501670272 505414080 529105365 531180288 546173280 564379056 610139520 627087840 663975360 673885440 705473820 728231040 732167424 752505408 796770432 836117120 846568584 873877248 885300480 915209280 940631760 995963040 1003340544 1010828160 1058210730 1092346560 1128758112 1220279040 1254175680 1327950720 1410947640 1456462080 1505010816 1593540864 1672234240 1693137168 1830418560 1881263520 1991926080 2021656320 2116421460 2184693120 2257516224 2508351360 2655901440 2821895280 3010021632 3386274336 3660837120 3762527040 3983852160 4232842920 4369386240 4515032448 5016702720 5643790560 6772548672 7525054080 7967704320 8465685840 9030064896 11287581120 13545097344 15050108160 16931371680 22575162240 27090194688 33862743360 45150324480 67725486720 135450973440
- Sum of all divisors σ(n): 552169626624
- Sum of proper divisors (its aliquot sum) s(n): 416718653184
- 135450973440 is an abundant number, because the sum of its proper divisors (416718653184) is greater than itself. Its abundance is 281267679744
Bases of 135450973440
- Binary: 11111100010011000000111010101000000002
- Hexadecimal: 0x1F8981D500
- Base-36: 1Q840G00
Squares and roots of 135450973440
- 135450973440 squared (1354509734402) is 18346966205843585433600
- 135450973440 cubed (1354509734403) is 2485114432252297063360924483584000
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The
square root of 135450973440 is 368036.6468709333 -
The
cube root of 135450973440 is 5135.6337410233
Scales and comparisons
How big is 135450973440?- 135,450,973,440 seconds is equal to 4,306 years, 47 weeks, 6 days, 14 hours, 24 minutes.
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To count from 1 to 135,450,973,440 would take you about eight thousand, six hundred thirteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 135450973440 cubic inches would be around 428 feet tall.
Recreational maths with 135450973440
- 135450973440 backwards is 044379054531
- 135450973440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135450973440's digits is 45
- More coming soon!
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The information we have on file for 135450973440 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 135450973440, math, Factors of 135450973440, curriculum, school, college, exams, university, Prime factorization of 135450973440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, four hundred fifty million, nine hundred seventy-three thousand, four hundred forty.