135216856320
135,216,856,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135216856320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
135216856320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135216856320:
28 × 3 × 5 × 73 × 13 × 53 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 53 × 149)See below for interesting mathematical facts about the number 135216856320 from the Numbermatics database.
Names of 135216856320
- Cardinal: 135216856320 can be written as One hundred thirty-five billion, two hundred sixteen million, eight hundred fifty-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3521685632 × 1011
Factors of 135216856320
Divisors of 135216856320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 53 56 60 64 65 70 78 80 84 91 96 98 104 105 106 112 120 128 130 140 147 149 156 159 160 168 182 192 195 196 208 210 212 224 240 245 256 260 265 273 280 294 298 312 318 320 336 343 364 371 384 390 392 416 420 424 447 448 455 480 490 520 530 546 560 588 596 624 636 637 640 672 686 689 728 735 742 745 768 780 784 795 832 840 848 894 896 910 960 980 1029 1040 1043 1060 1092 1113 1120 1176 1192 1248 1272 1274 1280 1344 1365 1372 1378 1456 1470 1484 1490 1560 1568 1590 1664 1680 1696 1715 1788 1792 1820 1855 1911 1920 1937 1960 2058 2067 2080 2086 2120 2184 2226 2235 2240 2352 2384 2496 2544 2548 2597 2688 2730 2744 2756 2912 2940 2968 2980 3120 3129 3136 3180 3185 3328 3360 3392 3430 3445 3576 3640 3710 3822 3840 3874 3920 4116 4134 4160 4172 4240 4368 4452 4459 4470 4480 4704 4768 4823 4992 5088 5096 5145 5194 5215 5376 5460 5488 5512 5565 5811 5824 5880 5936 5960 6240 6258 6272 6360 6370 6720 6784 6860 6890 7152 7280 7301 7420 7644 7748 7791 7840 7897 8232 8268 8320 8344 8480 8736 8904 8918 8940 8960 9408 9536 9555 9646 9685 9984 10176 10192 10290 10335 10388 10430 10920 10976 11024 11130 11622 11648 11760 11872 11920 12480 12516 12544 12720 12740 12985 13377 13440 13559 13568 13720 13780 14304 14469 14560 14602 14840 15288 15496 15582 15645 15680 15794 16464 16536 16640 16688 16960 17472 17808 17836 17880 18179 18816 19072 19110 19292 19370 20352 20384 20580 20670 20776 20860 21840 21903 21952 22048 22260 22295 23244 23296 23520 23691 23744 23840 24115 24960 25032 25440 25480 25970 26754 26880 27118 27440 27560 28608 28938 29055 29120 29204 29680 30576 30992 31164 31290 31360 31588 32928 33072 33376 33761 33920 34944 35616 35672 35760 36358 36505 37632 38144 38220 38584 38740 38955 39485 40677 40704 40768 41160 41340 41552 41720 43680 43806 43904 44096 44520 44590 46488 47040 47382 47488 47680 48230 49920 50064 50880 50960 51107 51940 53508 54236 54537 54880 55120 55279 57216 57876 58110 58240 58408 59360 61152 61984 62328 62580 62720 63176 65856 66144 66752 66885 67522 67795 67840 69888 71232 71344 71520 72345 72716 73010 76440 77168 77480 77910 78970 81354 81536 82320 82680 83104 83440 87360 87612 87808 88192 89040 89180 90895 92976 94080 94764 94913 94976 95360 96460 100128 101283 101760 101920 102214 102661 103880 107016 108472 109074 109515 109760 110240 110558 114432 115752 116220 116480 116816 118455 118720 122304 123968 124656 125160 126352 131712 132288 133504 133770 135044 135590 142464 142688 143040 144690 145432 146020 152880 153321 154336 154960 155820 157940 162708 163072 164640 165360 165837 166208 166880 168805 174720 175224 176384 178080 178360 181790 185952 188160 189528 189826 190720 192920 200256 202566 203385 203520 203840 204428 205322 207760 214032 216944 218148 219030 219520 220480 221116 231504 232440 233632 236327 236910 237440 244608 247936 249312 250320 252704 255535 263424 264576 267008 267540 270088 271180 272685 276395 284739 284928 285376 286080 289380 290864 292040 305760 306642 307983 308672 309920 311640 315880 325416 329280 330720 331674 332416 333760 337610 349440 350448 356160 356720 363580 371904 379056 379652 385840 386953 400512 405132 406770 407680 408856 410644 415520 428064 433888 436296 438060 439040 440960 442232 463008 464880 467264 472654 473820 474565 474880 489216 495872 498624 500640 505408 506415 511070 513305 529152 535080 540176 542360 545370 552790 569478 570752 572160 578760 581728 584080 611520 613284 615966 617344 619840 623280 631760 650832 658560 661440 663348 664391 664832 667520 675220 700896 708981 712320 713440 718627 727160 743808 758112 759304 766605 771680 773906 801024 810264 813540 815360 817712 821288 829185 831040 856128 867776 872592 876120 881920 884464 926016 929760 934528 945308 947640 949130 997248 1001280 1010816 1012830 1022140 1026610 1070160 1080352 1084720 1090740 1105580 1138956 1141504 1157520 1160859 1163456 1168160 1181635 1223040 1226568 1231932 1234688 1239680 1246560 1263520 1301664 1317120 1322880 1326696 1328782 1335040 1350440 1401792 1417962 1423695 1424640 1426880 1437254 1454320 1487616 1516224 1518608 1533210 1539915 1543360 1547812 1620528 1627080 1635424 1642576 1658370 1662080 1712256 1735552 1745184 1752240 1768928 1852032 1859520 1869056 1890616 1895280 1898260 1934765 1993173 1994496 2002560 2021632 2025660 2044280 2053220 2140320 2155881 2160704 2169440 2181480 2211160 2277912 2315040 2321718 2326912 2336320 2363270 2446080 2453136 2463864 2479360 2493120 2527040 2603328 2645760 2653392 2657564 2700880 2708671 2803584 2835924 2847390 2853760 2874508 2908640 3032448 3037216 3066420 3079830 3086720 3095624 3241056 3254160 3270848 3285152 3316740 3321955 3324160 3424512 3471104 3490368 3504480 3537856 3544905 3593135 3704064 3719040 3781232 3790560 3796520 3869530 3986346 4005120 4051320 4088560 4106440 4280640 4311762 4321408 4338880 4362960 4422320 4555824 4630080 4643436 4653824 4672640 4726540 4906272 4927728 4986240 5030389 5054080 5206656 5306784 5315128 5401760 5417342 5607168 5671848 5694780 5707520 5749016 5804295 5817280 6064896 6074432 6132840 6159660 6173440 6191248 6482112 6508320 6541696 6570304 6633480 6643910 6980736 7008960 7075712 7089810 7186270 7438080 7562464 7581120 7593040 7739060 7972692 8102640 8126013 8177120 8212880 8561280 8623524 8642816 8677760 8725920 8844640 9111648 9260160 9286872 9345280 9453080 9812544 9855456 9965865 9972480 10060778 10108160 10413312 10613568 10630256 10779405 10803520 10834684 11343696 11389560 11498032 11608590 11634560 12148864 12265680 12319320 12382496 12964224 13016640 13083392 13140608 13266960 13287820 13543355 13961472 14017920 14151424 14179620 14372540 15091167 15124928 15162240 15186080 15478120 15945384 16205280 16252026 16354240 16425760 17122560 17247048 17355520 17451840 17689280 18223296 18520320 18573744 18906160 19625088 19710912 19931730 20121556 21227136 21260512 21558810 21607040 21669368 22687392 22779120 22996064 23217180 23269120 24297728 24531360 24638640 24764992 25151945 25928448 26033280 26281216 26533920 26575640 27086710 28035840 28359240 28745080 30182334 30249856 30324480 30372160 30956240 31890768 32410560 32504052 32708480 32851520 34494096 34903680 35212723 35378560 36446592 37147488 37812320 39250176 39421824 39863460 40243112 40630065 42454272 42521024 43117620 43214080 43338736 45374784 45558240 45992128 46434360 49062720 49277280 49529984 50303890 52066560 53067840 53151280 54173420 56718480 57490160 60364668 60499712 60744320 61912480 63781536 64821120 65008104 65416960 65703040 68988192 69807360 70425446 70757120 72893184 74294976 75455835 75624640 78843648 79726920 80486224 81260130 85042048 86235240 86677472 90749568 91116480 91984256 92868720 98125440 98554560 99059968 100607780 105638169 106135680 106302560 108346840 113436960 114980320 120729336 121488640 123824960 127563072 129642240 130016208 131406080 137976384 140850892 148589952 150911670 151249280 159453840 160972448 162520260 170084096 172470480 173354944 176063615 181499136 182232960 183968512 185737440 196250880 197109120 201215560 211276338 212271360 212605120 216693680 226873920 229960640 241458672 247649920 255126144 260032416 275952768 281701784 297179904 301823340 302498560 318907680 321944896 325040520 344940960 346709888 352127230 364465920 371474880 394218240 402431120 422552676 425210240 433387360 453747840 459921280 482917344 495299840 510252288 520064832 528190845 551905536 563403568 603646680 637815360 643889792 650081040 689881920 693419776 704254460 742949760 804862240 845105352 850420480 866774720 907495680 919842560 965834688 1040129664 1056381690 1126807136 1207293360 1275630720 1287779584 1300162080 1379763840 1408508920 1485899520 1609724480 1690210704 1733549440 1931669376 2080259328 2112763380 2253614272 2414586720 2551261440 2600324160 2759527680 2817017840 3219448960 3380421408 3467098880 3863338752 4225526760 4507228544 4829173440 5200648320 5634035680 6438897920 6760842816 8451053520 9014457088 9658346880 10401296640 11268071360 13521685632 16902107040 19316693760 22536142720 27043371264 33804214080 45072285440 67608428160 135216856320
- Sum of all divisors σ(n): 556295040000
- Sum of proper divisors (its aliquot sum) s(n): 421078183680
- 135216856320 is an abundant number, because the sum of its proper divisors (421078183680) is greater than itself. Its abundance is 285861327360
Bases of 135216856320
- Binary: 11111011110111000110101111101000000002
- Hexadecimal: 0x1F7B8D7D00
- Base-36: 1Q48MI2O
Squares and roots of 135216856320
- 135216856320 squared (1352168563202) is 18283598233063523942400
- 135216856320 cubed (1352168563203) is 2472250675292756390352380755968000
-
The
square root of 135216856320 is 367718.4470760203 -
The
cube root of 135216856320 is 5132.6731786513
Scales and comparisons
How big is 135216856320?- 135,216,856,320 seconds is equal to 4,299 years, 24 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 135,216,856,320 would take you about eight thousand, five hundred ninety-eight 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 135216856320 cubic inches would be around 427.7 feet tall.
Recreational maths with 135216856320
- 135216856320 backwards is 023658612531
- 135216856320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135216856320's digits is 42
- More coming soon!
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The information we have on file for 135216856320 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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