13431974760944768000
13,431,974,760,944,768,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13431974760944768000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1980 divisors.
13431974760944768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 13431974760944768000:
210 × 53 × 74 × 412 × 50992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 41 × 41 × 5099 × 5099)See below for interesting mathematical facts about the number 13431974760944768000 from the Numbermatics database.
Names of 13431974760944768000
- Cardinal: 13431974760944768000 can be written as Thirteen quintillion, four hundred thirty-one quadrillion, nine hundred seventy-four trillion, seven hundred sixty billion, nine hundred forty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3431974760944768 × 1019
Factors of 13431974760944768000
Divisors of 13431974760944768000
- Number of divisors d(n): 1980
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 343 350 392 400 410 448 490 500 512 560 574 640 656 686 700 784 800 820 875 896 980 1000 1024 1025 1120 1148 1225 1280 1312 1372 1400 1435 1568 1600 1640 1681 1715 1750 1792 1960 2000 2009 2050 2240 2296 2401 2450 2560 2624 2744 2800 2870 3136 3200 3280 3362 3430 3500 3584 3920 4000 4018 4100 4480 4592 4802 4900 5099 5120 5125 5248 5488 5600 5740 6125 6272 6400 6560 6724 6860 7000 7168 7175 7840 8000 8036 8200 8405 8575 8960 9184 9604 9800 10045 10198 10250 10496 10976 11200 11480 11767 12005 12250 12544 12800 13120 13448 13720 14000 14063 14350 15680 16000 16072 16400 16810 17150 17920 18368 19208 19600 20090 20396 20500 20992 21952 22400 22960 23534 24010 24500 25088 25495 25600 26240 26896 27440 28000 28126 28700 31360 32000 32144 32800 33620 34300 35693 35840 35875 36736 38416 39200 40180 40792 41000 41984 42025 42875 43904 44800 45920 47068 48020 49000 50176 50225 50990 52480 53792 54880 56000 56252 57400 58835 60025 62720 64000 64288 65600 67240 68600 70315 71386 71750 73472 76832 78400 80360 81584 82000 82369 84050 85750 87808 89600 91840 94136 96040 98000 98441 100450 101980 104960 107584 109760 112000 112504 114800 117670 120050 125440 127475 128000 128576 131200 134480 137200 140630 142772 143500 146944 153664 156800 160720 163168 164000 164738 168100 171500 175616 178465 179200 183680 188272 192080 196000 196882 200900 203960 209059 209920 210125 215168 219520 224000 225008 229600 235340 240100 249851 250880 251125 254950 257152 262400 268960 274400 281260 285544 287000 293888 294175 300125 307328 313600 321440 326336 328000 329476 336200 343000 351232 351575 356930 367360 376544 384160 392000 393764 401800 407920 411845 418118 420250 430336 439040 448000 450016 459200 470680 480200 492205 499702 502250 509900 514304 524800 537920 548800 562520 571088 574000 576583 588350 600250 614656 627200 637375 642880 652672 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2741219338968320 2797162590784000 2925081611704000 2998208651996600 3276091405108480 3342950413376000 3357993690236192 3426524173710400 3747760814995750 3837707074555648 3916027627097600 3995233420864000 4095114256385600 4197492112795240 4283155217138000 4680130578726400 4797133843194560 4895034533872000 5118892820482000 5246865140994050 5482438677936640 5594325181568000 5850163223408000 5996417303993200 6552182810216960 6685900826752000 6715987380472384 6853048347420800 7495521629991500 7675414149111296 7832055254195200 7990466841728000 8190228512771200 8394984225590480 8566310434276000 9360261157452800 9594267686389120 9790069067744000 10237785640964000 10493730281988100 10964877355873280 11700326446816000 11992834607986400 13104365620433920 13117162852485125 13431974760944768 13706096694841600 14991043259983000 15350828298222592 16380457025542400 16789968451180960 17132620868552000 19188535372778240 19580138135488000 20475571281928000 20987460563976200 23400652893632000 23985669215972800 26234325704970250 26863949521889536 27412193389683200 29982086519966000 32760914051084800 33579936902361920 34265241737104000 38377070745556480 39160276270976000 40951142563856000 41974921127952400 46801305787264000 47971338431945600 52468651409940500 53727899043779072 54824386779366400 59964173039932000 65521828102169600 67159873804723840 68530483474208000 76754141491112960 81902285127712000 83949842255904800 95942676863891200 104937302819881000 107455798087558144 119928346079864000 134319747609447680 137060966948416000 163804570255424000 167899684511809600 191885353727782400 209874605639762000 239856692159728000 268639495218895360 274121933896832000 327609140510848000 335799369023619200 383770707455564800 419749211279524000 479713384319456000 537278990437790720 671598738047238400 839498422559048000 959426768638912000 1343197476094476800 1678996845118096000 1918853537277824000 2686394952188953600 3357993690236192000 6715987380472384000 13431974760944768000
- Sum of all divisors σ(n): 40077076360869706236
- Sum of proper divisors (its aliquot sum) s(n): 26645101599924938236
- 13431974760944768000 is an abundant number, because the sum of its proper divisors (26645101599924938236) is greater than itself. Its abundance is 13213126838980170236
Bases of 13431974760944768000
- Binary: 10111010011001111111010111100001001000100010000000010100000000002
- Hexadecimal: 0xBA67F5E122201400
- Base-36: 2U1SLO3KBCV7K
Squares and roots of 13431974760944768000
- 13431974760944768000 squared (134319747609447680002) is 180417945978657257461003946573824000000
- 13431974760944768000 cubed (134319747609447680003) is 2423369296806820882893390754456910221278898552832000000000
-
The
square root of 13431974760944768000 is 3664965860.8157277077 -
The
cube root of 13431974760944768000 is 2377095.4587623015
Scales and comparisons
How big is 13431974760944768000?- 13,431,974,760,944,768,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,431,974,760,944,768,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13431974760944768000 cubic inches would be around 198091.3 feet tall.
Recreational maths with 13431974760944768000
- 13431974760944768000 backwards is 00086744906747913431
- The number of decimal digits it has is: 20
- The sum of 13431974760944768000's digits is 83
- More coming soon!
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Numbermatics. (2024). Number 13431974760944768000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/13431974760944768000/
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The information we have on file for 13431974760944768000 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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