135940268016
135,940,268,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 135940268016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
135940268016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135940268016:
24 × 32 × 73 × 31 × 47 × 1889
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 31 × 47 × 1889)See below for interesting mathematical facts about the number 135940268016 from the Numbermatics database.
Names of 135940268016
- Cardinal: 135940268016 can be written as One hundred thirty-five billion, nine hundred forty million, two hundred sixty-eight thousand and sixteen.
Scientific notation
- Scientific notation: 1.35940268016 × 1011
Factors of 135940268016
Divisors of 135940268016
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 47 48 49 56 62 63 72 84 93 94 98 112 124 126 141 144 147 168 186 188 196 217 248 252 279 282 294 329 336 343 372 376 392 423 434 441 496 504 558 564 588 651 658 686 744 752 784 846 868 882 987 1008 1029 1116 1128 1176 1302 1316 1372 1457 1488 1519 1692 1736 1764 1889 1953 1974 2058 2232 2256 2303 2352 2604 2632 2744 2914 2961 3038 3087 3384 3472 3528 3778 3906 3948 4116 4371 4464 4557 4606 5208 5264 5488 5667 5828 5922 6076 6174 6768 6909 7056 7556 7812 7896 8232 8742 9114 9212 10199 10416 10633 11334 11656 11844 12152 12348 13113 13223 13671 13818 15112 15624 15792 16121 16464 17001 17484 18228 18424 20398 20727 21266 22668 23312 23688 24304 24696 26226 26446 27342 27636 30224 30597 31248 31899 32242 34002 34968 36456 36848 39669 40796 41454 42532 45336 47376 48363 49392 52452 52892 54684 55272 58559 61194 63798 64484 68004 69936 71393 72912 79338 81592 82908 85064 88783 90672 91791 92561 95697 96726 104904 105784 109368 110544 117118 119007 122388 127596 128968 136008 142786 145089 158676 163184 165816 170128 175677 177566 183582 185122 191394 193452 209808 211568 214179 218736 234236 238014 244776 255192 257936 266349 272016 277683 285572 290178 317352 331632 351354 355132 367164 370244 382788 386904 409913 428358 468472 476028 489552 499751 510384 527031 532698 555366 571144 580356 621481 634704 642537 647927 702708 710264 734328 740488 765576 773808 799047 819826 833049 856716 936944 952056 999502 1054062 1065396 1110732 1142288 1160712 1229739 1242962 1285074 1295854 1405416 1420528 1468656 1480976 1499253 1531152 1598094 1639652 1666098 1713432 1864443 1904112 1943781 1999004 2108124 2130792 2221464 2321424 2459478 2485924 2570148 2591708 2752273 2810832 2869391 2998506 3196188 3279304 3332196 3426864 3689217 3728886 3887562 3998008 4216248 4261584 4350367 4442928 4497759 4918956 4971848 5140296 5183416 5504546 5593329 5738782 5831343 5997012 6392376 6558608 6664392 7378434 7457772 7775124 7996016 8256819 8432496 8608173 8700734 8995518 9837912 9943696 10280592 10366832 11009092 11186658 11477564 11662686 11994024 12784752 13051101 13328784 14756868 14915544 15550248 16513638 17216346 17401468 17991036 19265911 19675824 20085737 22018184 22373316 22955128 23325372 23988048 24770457 25824519 26102202 29513736 29831088 30452569 31100496 33027276 34432692 34802936 35982072 38531822 39153303 40171474 44036368 44746632 45910256 46650744 49540914 51649038 52204404 57797733 59027472 60257211 60905138 66054552 68865384 69605872 71964144 77063644 78306606 80342948 89493264 91357707 93301488 99081828 103298076 104408808 115595466 120514422 121810276 132109104 134861377 137730768 154127288 156613212 160685896 173393199 180771633 182715414 198163656 206596152 208817616 231190932 241028844 243620552 269722754 274073121 308254576 313226424 321371792 346786398 361543266 365430828 396327312 404584131 413192304 462381864 482057688 487241104 539445508 548146242 626452848 693572796 723086532 730861656 809168262 924763728 944029639 964115376 1078891016 1096292484 1213752393 1387145592 1446173064 1461723312 1618336524 1888059278 2157782032 2192584968 2427504786 2774291184 2832088917 2892346128 3236673048 3776118556 4385169936 4855009572 5664177834 6473346096 7552237112 8496266751 9710019144 11328355668 15104474224 16992533502 19420038288 22656711336 33985067004 45313422672 67970134008 135940268016
- Sum of all divisors σ(n): 467970048000
- Sum of proper divisors (its aliquot sum) s(n): 332029779984
- 135940268016 is an abundant number, because the sum of its proper divisors (332029779984) is greater than itself. Its abundance is 196089511968
Bases of 135940268016
- Binary: 11111101001101010101111011111111100002
- Hexadecimal: 0x1FA6ABDFF0
- Base-36: 1QG7BQ40
Squares and roots of 135940268016
- 135940268016 squared (1359402680162) is 18479756468261912576256
- 135940268016 cubed (1359402680163) is 2512143047165933993301001677828096
-
The
square root of 135940268016 is 368700.7838559609 -
The
cube root of 135940268016 is 5141.8101899349
Scales and comparisons
How big is 135940268016?- 135,940,268,016 seconds is equal to 4,322 years, 24 weeks, 6 days, 17 hours, 33 minutes, 36 seconds.
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To count from 1 to 135,940,268,016 would take you about eight thousand, six hundred forty-four 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 135940268016 cubic inches would be around 428.5 feet tall.
Recreational maths with 135940268016
- 135940268016 backwards is 610862049531
- The number of decimal digits it has is: 12
- The sum of 135940268016's digits is 45
- More coming soon!
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