138375563040
138,375,563,040 is an even composite number composed of eight prime numbers multiplied together.
138375563040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138375563040:
25 × 32 × 5 × 11 × 13 × 31 × 53 × 409
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 31 × 53 × 409)See below for interesting mathematical facts about the number 138375563040 from the Numbermatics database.
Names of 138375563040
- Cardinal: 138375563040 can be written as One hundred thirty-eight billion, three hundred seventy-five million, five hundred sixty-three thousand and forty.
Scientific notation
- Scientific notation: 1.3837556304 × 1011
Factors of 138375563040
Divisors of 138375563040
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 31 32 33 36 39 40 44 45 48 52 53 55 60 62 65 66 72 78 80 88 90 93 96 99 104 106 110 117 120 124 130 132 143 144 155 156 159 160 165 176 180 186 195 198 208 212 220 234 240 248 260 264 265 279 286 288 310 312 318 330 341 352 360 372 390 396 403 409 416 424 429 440 465 468 477 480 495 496 520 528 530 558 572 583 585 620 624 636 660 682 689 715 720 744 780 792 795 806 818 848 858 880 930 936 954 990 992 1023 1040 1056 1060 1116 1144 1166 1170 1209 1227 1240 1248 1272 1287 1320 1364 1378 1395 1430 1440 1488 1560 1584 1590 1612 1636 1643 1696 1705 1716 1749 1760 1860 1872 1908 1980 2015 2045 2046 2067 2080 2120 2145 2232 2288 2332 2340 2385 2418 2454 2480 2544 2574 2640 2728 2756 2790 2860 2915 2976 3069 3120 3168 3180 3224 3272 3286 3410 3432 3445 3498 3627 3681 3720 3744 3816 3960 4030 4090 4092 4134 4240 4290 4433 4464 4499 4576 4664 4680 4770 4836 4908 4929 4960 5088 5115 5148 5247 5280 5317 5456 5512 5580 5720 5830 6045 6135 6138 6201 6240 6360 6435 6448 6544 6572 6820 6864 6890 6996 7254 7362 7440 7579 7632 7920 8060 8180 8184 8215 8268 8480 8580 8745 8866 8928 8998 9328 9360 9540 9672 9816 9858 10230 10296 10335 10494 10634 10912 11024 11160 11440 11660 12090 12270 12276 12402 12679 12720 12870 12896 13088 13144 13299 13497 13640 13728 13780 13992 14508 14724 14787 14880 15158 15264 15345 15840 15951 16120 16360 16368 16430 16536 17160 17490 17732 17996 18073 18135 18405 18656 18720 19080 19344 19632 19716 20460 20592 20670 20988 21268 21359 21677 22048 22165 22320 22495 22737 22880 23320 24180 24540 24552 24645 24804 25358 25440 25740 26235 26288 26585 26598 26994 27280 27560 27984 29016 29448 29574 30316 30690 31005 31902 32240 32720 32736 32860 33072 34320 34980 35464 35992 36146 36270 36810 37895 38037 38160 38688 39264 39432 39897 40491 40920 41184 41340 41976 42536 42718 43354 44330 44640 44990 45474 46640 47853 48360 49080 49104 49290 49608 50716 51480 52470 52576 53170 53196 53988 54219 54560 55120 55968 58032 58487 58896 59148 60632 61380 62010 63395 63804 64077 64480 65031 65440 65720 66144 66495 67485 68211 68640 69960 70928 71984 72292 72540 73620 73935 75790 76074 76320 78864 79755 79794 80982 81840 82680 83952 85072 85436 86708 88660 89980 90365 90948 93280 95706 96720 98160 98208 98580 99216 101432 102960 104940 106340 106392 106795 107976 108385 108438 110240 113685 114111 116064 116974 117792 118296 121264 122760 124020 126790 127608 128154 130062 131440 132990 134970 136422 139469 139920 141856 143968 144584 145080 147240 147870 151580 152148 157728 159510 159588 161964 162657 163680 164827 165360 167904 170144 170872 173416 175461 177320 179960 180730 181896 190185 191412 192231 193440 195093 196320 197160 198432 199485 202455 202864 205920 209880 212680 212784 213590 215952 216770 216876 227370 228222 233948 234949 236592 238447 239265 242528 245520 248040 253580 255216 256308 260124 262880 265980 269940 271095 272844 278938 279840 281801 289168 290160 292435 294480 295740 303160 304296 319020 319176 320385 323928 325155 325314 329654 330720 341055 341744 346832 350922 354640 359920 361460 363792 380370 382824 384462 390186 394320 398970 404910 405728 418407 419760 425360 425568 427180 431904 433540 433752 454740 456444 467896 469898 473184 476894 478530 491040 494481 496080 507160 510432 512616 520248 526383 531960 539880 542190 545688 557876 563602 570555 578336 580320 584870 588960 591480 606320 608592 638040 638352 640770 647856 650310 650628 659308 671987 682110 683488 693664 697345 701844 704847 709280 715341 719840 722920 727584 760740 765648 768924 780372 788640 797940 809820 813285 824135 836814 839520 845403 850720 854360 867080 867504 877305 909480 912888 935792 939796 953788 957060 961155 975465 988962 992160 1014320 1025232 1040496 1052766 1063920 1079760 1084380 1091376 1115752 1127204 1141110 1169740 1174745 1182960 1192235 1212640 1217184 1255221 1276080 1276704 1281540 1295712 1300620 1301256 1318616 1343974 1364220 1394690 1403688 1409005 1409694 1430682 1445840 1483443 1521480 1531296 1537848 1560744 1595880 1619640 1626570 1648270 1673628 1690806 1708720 1734160 1735008 1754610 1813097 1818960 1825776 1871584 1879592 1907576 1914120 1922310 1950930 1977924 2015961 2028640 2050464 2080992 2092035 2105532 2114541 2127840 2146023 2159520 2168760 2182752 2231504 2254408 2282220 2339480 2349490 2365920 2384470 2472405 2510442 2536209 2552160 2563080 2601240 2602512 2631915 2637232 2687948 2728440 2789380 2807376 2818010 2819388 2861364 2891680 2966886 3042960 3075696 3099811 3121488 3191760 3239280 3253140 3296540 3347256 3359935 3381612 3417440 3468320 3509220 3524235 3576705 3626194 3637920 3651552 3759184 3815152 3828240 3844620 3901860 3955848 4031922 4184070 4211064 4227015 4229082 4292046 4337520 4463008 4508816 4564440 4678960 4698980 4768940 4944810 5020884 5072418 5126160 5202480 5205024 5263830 5274464 5375896 5439291 5456880 5578760 5614752 5636020 5638776 5722728 5933772 6047883 6085920 6151392 6199622 6242976 6276105 6383520 6478560 6506280 6593080 6694512 6719870 6763224 7018440 7048470 7153410 7252388 7391857 7417215 7518368 7630304 7656480 7689240 7803720 7911696 8063844 8368140 8422128 8454030 8458164 8584092 8675040 8735831 9017632 9065485 9128880 9299433 9357920 9397960 9537880 9889620 10041768 10079805 10144836 10252320 10404960 10527660 10572705 10730115 10751792 10878582 10913760 11157520 11272040 11277552 11445456 11867544 12095766 12399244 12552210 12681045 13012560 13186160 13389024 13439740 13526448 14036880 14096940 14306820 14504776 14783714 14834430 15378480 15499055 15607440 15823392 16127688 16317873 16736280 16844256 16908060 16916328 17168184 17471662 18130970 18257760 18598866 18795920 19075760 19779240 20083536 20159610 20289672 21055320 21145410 21460230 21503584 21757164 22175571 22315040 22544080 22555104 22890912 23735088 24191532 24798488 25104420 25362090 26025120 26207493 26372320 26879480 27052896 27196455 27898299 28073760 28193880 28613640 29009552 29567428 29668860 30239415 30756960 30998110 31214880 32255376 32635746 33472560 33816120 33832656 34336368 34943324 36261940 36959285 37197732 37591840 38151520 39558480 40167072 40319220 40579344 42110640 42290820 42920460 43514328 43679155 44351142 45088160 46497165 47470176 48383064 49596976 50208840 50724180 52414986 53758960 54392910 55796598 56387760 57227280 58019104 59134856 59337720 60478830 61996220 64510752 65271492 66526713 66945120 67632240 67665312 68672736 69886648 72523880 73918570 74395464 78622479 79116960 80638440 81158688 81589365 84221280 84581640 85840920 87028656 87358310 88702284 92994330 96094141 96766128 99193952 100417680 101448360 104829972 107517920 108785820 110877855 111593196 112775520 114454560 118269712 118675440 120957660 123992440 130542984 131037465 133053426 135264480 139491495 139773296 145047760 147837140 148790928 157244958 161276880 163178730 169163280 171681840 174057312 174716620 177404568 185988660 192188282 193532256 200835360 202896720 209659944 217571640 221755710 223186392 236539424 237350880 241915320 247984880 261085968 262074930 266106852 278982990 279546592 288282423 290095520 295674280 297581856 314489916 322553760 326357460 332633565 338326560 343363680 349433240 354809136 371977320 384376564 393112395 405793440 419319888 435143280 443511420 446372784 480470705 483830640 495969760 522171936 524149860 532213704 557965980 576564846 591348560 628979832 652714920 665267130 698866480 709618272 743954640 768753128 786224790 838639776 864847269 870286560 887022840 892745568 960941410 967661280 1048299720 1064427408 1115931960 1153129692 1182697120 1257959664 1305429840 1330534260 1397732960 1441412115 1487909280 1537506256 1572449580 1729694538 1774045680 1921882820 2096599440 2128854816 2231863920 2306259384 2515919328 2610859680 2661068520 2882824230 3075012512 3144899160 3459389076 3548091360 3843765640 4193198880 4324236345 4463727840 4612518768 5322137040 5765648460 6289798320 6918778152 7687531280 8648472690 9225037536 10644274080 11531296920 12579596640 13837556304 15375062560 17296945380 23062593840 27675112608 34593890760 46125187680 69187781520 138375563040
- Sum of all divisors σ(n): 584887080960
- Sum of proper divisors (its aliquot sum) s(n): 446511517920
- 138375563040 is an abundant number, because the sum of its proper divisors (446511517920) is greater than itself. Its abundance is 308135954880
Bases of 138375563040
- Binary: 100000001101111101001110000111001000002
- Hexadecimal: 0x2037D38720
- Base-36: 1RKH8JS0
Squares and roots of 138375563040
- 138375563040 squared (1383755630402) is 19147796446637014041600
- 138375563040 cubed (1383755630403) is 2649587114278708132510785982464000
-
The
square root of 138375563040 is 371988.6598271511 -
The
cube root of 138375563040 is 5172.3328758643
Scales and comparisons
How big is 138375563040?- 138,375,563,040 seconds is equal to 4,399 years, 47 weeks, 4 days, 24 minutes.
-
To count from 1 to 138,375,563,040 would take you about eight thousand, seven hundred ninety-nine 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 138375563040 cubic inches would be around 431 feet tall.
Recreational maths with 138375563040
- 138375563040 backwards is 040365573831
- 138375563040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138375563040's digits is 45
- More coming soon!
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The information we have on file for 138375563040 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!
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