48381932131479360
48,381,932,131,479,360 is an even composite number composed of seven prime numbers multiplied together.
48381932131479360 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 48381932131479360:
26 × 32 × 5 × 17 × 372 × 672 × 4012
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 37 × 37 × 67 × 67 × 401 × 401)See below for interesting mathematical facts about the number 48381932131479360 from the Numbermatics database.
Names of 48381932131479360
- Cardinal: 48381932131479360 can be written as Forty-eight quadrillion, three hundred eighty-one trillion, nine hundred thirty-two billion, one hundred thirty-one million, four hundred seventy-nine thousand, three hundred sixty.
Scientific notation
- Scientific notation: 4.838193213147936 × 1016
Factors of 48381932131479360
Divisors of 48381932131479360
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 37 40 45 48 51 60 64 67 68 72 74 80 85 90 96 102 111 120 134 136 144 148 153 160 170 180 185 192 201 204 222 240 255 268 272 288 296 306 320 333 335 340 360 370 401 402 408 444 480 510 536 544 555 576 592 603 612 629 666 670 680 720 740 765 802 804 816 888 960 1005 1020 1072 1088 1110 1139 1184 1203 1206 1224 1258 1332 1340 1360 1369 1440 1480 1530 1604 1608 1632 1665 1776 1887 2005 2010 2040 2144 2220 2278 2368 2406 2412 2448 2479 2516 2664 2680 2720 2738 2880 2960 3015 3060 3145 3208 3216 3264 3330 3417 3552 3609 3774 4010 4020 4080 4107 4288 4440 4489 4556 4812 4824 4896 4958 5032 5328 5360 5440 5476 5661 5695 5920 6015 6030 6120 6290 6416 6432 6660 6817 6834 6845 7104 7218 7437 7548 8020 8040 8160 8214 8880 8978 9112 9435 9624 9648 9792 9916 10064 10251 10656 10720 10952 11322 11390 11840 12030 12060 12240 12321 12395 12580 12832 12864 13320 13467 13634 13668 13690 14436 14837 14874 15096 16040 16080 16320 16428 17085 17760 17956 18045 18224 18870 19248 19296 19832 20128 20451 20502 20535 21312 21440 21904 22311 22445 22644 22780 23273 24060 24120 24480 24642 24790 25160 25664 26640 26867 26934 27268 27336 27380 28305 28872 29674 29748 30192 32080 32160 32856 34085 34170 35520 35912 36090 36448 37185 37740 38496 38592 39664 40256 40401 40902 41004 41070 42143 43808 44511 44622 44890 45288 45560 46546 48120 48240 48960 49284 49580 50320 51255 53280 53734 53868 54536 54672 54760 56610 57744 59348 59496 60384 61353 61605 64160 64320 65712 67335 68170 68340 69819 71824 72180 72896 74185 74370 75480 76313 76992 79328 80601 80802 81804 82008 82140 84286 87616 89022 89244 89780 90576 91120 91723 93092 96240 96480 98568 99160 100640 102255 102510 106560 107468 107736 109072 109344 109520 111555 113220 115488 116365 118696 118992 120768 122706 123210 126429 128320 131424 133533 134335 134670 136340 136680 139638 143648 144360 148370 148740 150960 152626 158656 160801 161202 161604 163608 164016 164280 166093 168572 178044 178488 179560 181152 182240 183446 186184 192480 192960 197136 198320 201280 202005 204510 205020 209457 210715 214936 215472 218144 218688 219040 222555 223110 226440 228939 230976 232730 237392 237984 241803 245412 246420 252229 252858 262848 267066 268670 269340 272680 273360 275169 279276 287296 288720 296740 297480 301920 305252 306765 321602 322404 323208 327216 328032 328560 332186 337144 349095 356088 356976 359120 362304 364480 366892 372368 379287 381565 384960 394272 396640 403005 404010 409020 410040 418914 421430 429872 430944 436288 438080 445110 446220 452880 456739 457878 458615 465460 474784 475968 482403 483606 490824 492840 498279 504458 505716 534132 537340 538680 545360 546720 548969 550338 558552 577440 593480 594960 603840 610504 613530 632145 643204 644808 646416 654432 656064 657120 664372 667665 674288 686817 698190 712176 713952 718240 733784 744736 756687 758574 763130 788544 793280 804005 806010 808020 818040 820080 825507 830465 837828 842860 859744 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10619388088560 10777886418240 10896831561144 11283099844095 11780358444480 11858316698892 12035306500368 12065319733536 12819801836640 13405910815040 13621039451430 14159184118080 14529108748192 14822895873615 15044133125460 15081649666920 15383762203968 15811088931856 16047075333824 16345247341716 16799281990097 17670537666720 17787475048338 18052959750552 18161385935240 19229702754960 19516713243840 19763861164820 20058844167280 20108866222560 20431559177145 21238776177120 21793663122288 22566199688190 23716633397784 24070613000736 24130639467072 25639603673280 27242078902860 29058217496384 29645791747230 30088266250920 30163299333840 31622177863712 32690494683432 33598563980194 35341075333440 35574950096676 36105919501104 36322771870480 38459405509920 39527722329640 40117688334560 40217732445120 40863118354290 42477552354240 43587326244576 44468687620845 45132399376380 47433266795568 48141226001472 50397845970291 54484157805720 59291583494460 60176532501840 60326598667680 63244355727424 65380989366864 67197127960388 71149900193352 72211839002208 72645543740960 76918811019840 79055444659280 80235376669120 81726236708580 83996409950485 87174652489152 88937375241690 90264798752760 94866533591136 100795691940582 108968315611440 118583166988920 120353065003680 120653197335360 130761978733728 134394255920776 142299800386704 144423678004416 145291087481920 151193537910873 158110889318560 163452473417160 167992819900970 177874750483380 180529597505520 189733067182272 201591383881164 217936631222880 237166333977840 240706130007360 251989229851455 261523957467456 268788511841552 284599600773408 302387075821746 316221778637120 326904946834320 335985639801940 355749500966760 361059195011040 403182767762328 435873262445760 474332667955680 503978459702910 537577023683104 569199201546816 604774151643492 653809893668640 671971279603880 711499001933520 722118390022080 755967689554365 806365535524656 948665335911360 1007956919405820 1075154047366208 1209548303286984 1307619787337280 1343942559207760 1422998003867040 1511935379108730 1612731071049312 2015913838811640 2419096606573968 2687885118415520 2845996007734080 3023870758217460 3225462142098624 4031827677623280 4838193213147936 5375770236831040 6047741516434920 8063655355246560 9676386426295872 12095483032869840 16127310710493120 24190966065739680 48381932131479360
- Sum of all divisors σ(n): 184296494488746276
- Sum of proper divisors (its aliquot sum) s(n): 135914562357266916
- 48381932131479360 is an abundant number, because the sum of its proper divisors (135914562357266916) is greater than itself. Its abundance is 87532630225787556
Bases of 48381932131479360
- Binary: 101010111110001100011100011001100011111001101111010000002
- Hexadecimal: 0xABE31C663E6F40
- Base-36: D8DYOS6M340
Squares and roots of 48381932131479360
- 48381932131479360 squared (483819321314793602) is 2340811356775074927133862106009600
- 48381932131479360 cubed (483819321314793603) is 113252976196087793489013986681940082573594361856000
-
The
square root of 48381932131479360 is 219958932.8294701469 -
The
cube root of 48381932131479360 is 364385.4853583773
Scales and comparisons
How big is 48381932131479360?- 48,381,932,131,479,360 seconds is equal to 1,538,395,786 years, 33 weeks, 1 day, 13 hours, 36 minutes.
-
To count from 1 to 48,381,932,131,479,360 would take you about four billion, six hundred fifteen million, one hundred eighty-seven thousand, three hundred fifty-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 48381932131479360 cubic inches would be around 30365.5 feet tall.
Recreational maths with 48381932131479360
- 48381932131479360 backwards is 06397413123918384
- 48381932131479360 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48381932131479360's digits is 72
- More coming soon!
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"Number 48381932131479360 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 48381932131479360 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/48381932131479360/
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The information we have on file for 48381932131479360 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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