138940771648
138,940,771,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 138940771648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
138940771648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138940771648:
26 × 73 × 19 × 43 × 61 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 19 × 43 × 61 × 127)See below for interesting mathematical facts about the number 138940771648 from the Numbermatics database.
Names of 138940771648
- Cardinal: 138940771648 can be written as One hundred thirty-eight billion, nine hundred forty million, seven hundred seventy-one thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38940771648 × 1011
Factors of 138940771648
Divisors of 138940771648
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 43 49 56 61 64 76 86 98 112 122 127 133 152 172 196 224 244 254 266 301 304 343 344 392 427 448 488 508 532 602 608 686 688 784 817 854 889 931 976 1016 1064 1159 1204 1216 1372 1376 1568 1634 1708 1778 1862 1952 2032 2107 2128 2318 2408 2413 2623 2744 2752 2989 3136 3268 3416 3556 3724 3904 4064 4214 4256 4636 4816 4826 5246 5461 5488 5719 5978 6223 6517 6536 6832 7112 7448 7747 8113 8128 8428 8512 9272 9632 9652 10492 10922 10976 11438 11956 12446 13034 13072 13664 14224 14749 14896 15494 16226 16856 16891 18361 18544 19264 19304 20923 20984 21844 21952 22876 23912 24892 26068 26144 27328 28448 29498 29792 30988 32452 33712 33782 36722 37088 38227 38608 40033 41846 41968 43561 43688 45752 47824 49784 49837 52136 52288 54229 56791 56896 58996 59584 61976 64904 67424 67564 73444 74176 76454 77216 80066 83692 83936 87122 87376 91504 95648 99568 99674 103759 104272 108458 113582 117992 118237 123952 128527 129808 134848 135128 146888 147193 152908 154432 160132 167384 167872 174244 174752 183008 191296 199136 199348 207518 208544 216916 227164 235984 236474 247904 257054 259616 267589 270256 280231 293776 294386 305816 320264 333121 334768 348488 348859 349504 366016 379603 397537 398272 398696 415036 417088 433832 454328 471968 472948 495808 514108 519232 535178 540512 560462 587552 588772 611632 640528 666242 669536 696976 697718 726313 759206 795074 797392 827659 830072 867664 899689 908656 943936 945896 1028216 1030351 1070356 1081024 1120924 1175104 1177544 1223264 1281056 1332484 1339072 1393952 1395436 1452626 1518412 1590148 1594784 1655318 1660144 1735328 1799378 1817312 1873123 1891792 2056432 2060702 2140712 2241848 2331847 2355088 2442013 2446528 2562112 2657221 2664968 2787904 2790872 2905252 3036824 3180296 3189568 3310636 3320288 3470656 3598756 3634624 3746246 3783584 4112864 4121404 4281424 4483696 4663694 4710176 4884026 5084191 5314442 5329936 5581744 5810504 6073648 6329299 6360592 6621272 6640576 7197512 7212457 7492492 7567168 8225728 8242808 8562848 8967392 9327388 9420352 9768052 10168382 10628884 10659872 11163488 11621008 12147296 12658598 12721184 13242544 14395024 14424914 14984984 16322929 16485616 17094091 17125696 17934784 18654776 19536104 20336764 21257768 21319744 22326976 23242016 24294592 25317196 25442368 26485088 28790048 28849828 29969968 32645858 32971232 34188182 35589337 37309552 39072208 40673528 42515536 44305093 46484032 50487199 50634392 52970176 57580096 57699656 59939936 65291716 65942464 68376364 71178674 74619104 78144416 81347056 85031072 88610186 100974398 101268784 114260503 115399312 119879872 130583432 136752728 142357348 149238208 156288832 162694112 170062144 177220372 201948796 202537568 228521006 230798624 261166864 273505456 284714696 310135651 325388224 354440744 403897592 405075136 457042012 461597248 522333728 547010912 569429392 620271302 708881488 807795184 914084024 1044667456 1094021824 1138858784 1240542604 1417762976 1615590368 1828168048 2170949557 2277717568 2481085208 2835525952 3231180736 3656336096 4341899114 4962170416 7312672192 8683798228 9924340832 17367596456 19848681664 34735192912 69470385824 138940771648
- Sum of all divisors σ(n): 354770944000
- Sum of proper divisors (its aliquot sum) s(n): 215830172352
- 138940771648 is an abundant number, because the sum of its proper divisors (215830172352) is greater than itself. Its abundance is 76889400704
Bases of 138940771648
- Binary: 100000010110011000001111101101010000002
- Hexadecimal: 0x205983ED40
- Base-36: 1RTTQXJ4
Squares and roots of 138940771648
- 138940771648 squared (1389407716482) is 19304538026141680635904
- 138940771648 cubed (1389407716483) is 2682187409660283903728081094049792
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The
square root of 138940771648 is 372747.5977762969 -
The
cube root of 138940771648 is 5179.3656101599
Scales and comparisons
How big is 138940771648?- 138,940,771,648 seconds is equal to 4,417 years, 46 weeks, 18 hours, 47 minutes, 28 seconds.
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To count from 1 to 138,940,771,648 would take you about eight thousand, eight hundred thirty-five 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 138940771648 cubic inches would be around 431.6 feet tall.
Recreational maths with 138940771648
- 138940771648 backwards is 846177049831
- The number of decimal digits it has is: 12
- The sum of 138940771648's digits is 58
- More coming soon!
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