138357024768
138,357,024,768 is an even composite number composed of six prime numbers multiplied together.
138357024768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138357024768:
211 × 32 × 19 × 23 × 89 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 23 × 89 × 193)See below for interesting mathematical facts about the number 138357024768 from the Numbermatics database.
Names of 138357024768
- Cardinal: 138357024768 can be written as One hundred thirty-eight billion, three hundred fifty-seven million, twenty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38357024768 × 1011
Factors of 138357024768
Divisors of 138357024768
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 64 69 72 76 89 92 96 114 128 138 144 152 171 178 184 192 193 207 228 256 267 276 288 304 342 356 368 384 386 414 437 456 512 534 552 576 579 608 684 712 736 768 772 801 828 874 912 1024 1068 1104 1152 1158 1216 1311 1368 1424 1472 1536 1544 1602 1656 1691 1737 1748 1824 2047 2048 2136 2208 2304 2316 2432 2622 2736 2848 2944 3072 3088 3204 3312 3382 3474 3496 3648 3667 3933 4094 4272 4416 4439 4608 4632 4864 5073 5244 5472 5696 5888 6141 6144 6176 6408 6624 6764 6948 6992 7296 7334 7866 8188 8544 8832 8878 9216 9264 9728 10146 10488 10944 11001 11392 11776 12282 12352 12816 13248 13317 13528 13896 13984 14592 14668 15219 15732 16376 17088 17177 17664 17756 18423 18432 18528 19456 20292 20976 21888 22002 22784 23552 24564 24704 25632 26496 26634 27056 27792 27968 29184 29336 30438 31464 32752 33003 34176 34354 35328 35512 36846 37056 38893 38912 39951 40584 41952 43776 44004 45568 47104 49128 49408 51264 51531 52992 53268 54112 55584 55936 58368 58672 60876 62928 65504 66006 68352 68708 70656 71024 73692 74112 77786 79902 81168 83904 84341 87552 88008 91136 98256 98816 102528 103062 105984 106536 108224 111168 111872 116679 116736 117344 121752 125856 131008 132012 136704 137416 141312 142048 147384 148224 154593 155572 159804 162336 167808 168682 175104 176016 182272 196512 197632 205056 206124 211968 213072 216448 222336 223744 233358 234688 243504 251712 253023 262016 264024 273408 274832 284096 294768 296448 309186 311144 319608 324672 326363 335616 337364 350037 350208 352032 393024 395071 395264 410112 412248 423936 426144 432896 444672 447488 466716 469376 487008 503424 506046 524032 528048 546816 549664 568192 589536 592896 618372 622288 639216 649344 652726 671232 674728 700074 704064 759069 786048 790142 820224 824496 852288 865792 889344 894976 933432 938752 974016 979089 1006848 1012092 1048064 1056096 1099328 1136384 1179072 1185213 1185792 1236744 1244576 1278432 1298688 1305452 1342464 1349456 1400148 1408128 1518138 1572096 1580284 1640448 1648992 1704576 1731584 1778688 1866864 1877504 1948032 1958178 2013696 2024184 2096128 2112192 2198656 2272768 2358144 2370426 2473488 2489152 2556864 2597376 2610904 2684928 2698912 2800296 2816256 2937267 3036276 3144192 3160568 3297984 3409152 3463168 3555639 3557376 3733728 3755008 3896064 3916356 4027392 4048368 4192256 4224384 4397312 4545536 4716288 4740852 4946976 4978304 5113728 5194752 5221808 5397824 5600592 5632512 5874534 6072552 6288384 6321136 6595968 6818304 7111278 7467456 7506349 7510016 7792128 7832712 8054784 8096736 8448768 8794624 9091072 9432576 9481704 9893952 9956608 10227456 10389504 10443616 10795648 11201184 11265024 11749068 12145104 12576768 12642272 13191936 13636608 14222556 14934912 15012698 15584256 15665424 16193472 16897536 17589248 18865152 18963408 19787904 19913216 20454912 20887232 21591296 22402368 22519047 22530048 23498136 24290208 25284544 26383872 27273216 28445112 29869824 30025396 31168512 31330848 32386944 33795072 35178496 37730304 37926816 39575808 39826432 40909824 41774464 43182592 44804736 45038094 46996272 48580416 50569088 52767744 56890224 59739648 60050792 62661696 64773888 67557141 67590144 75853632 79151616 79652864 81819648 83548928 86365184 89609472 90076188 93992544 97160832 101138176 105535488 113780448 119479296 120101584 125323392 129547776 135114282 151707264 158303232 167097856 172730368 179218944 180152376 187985088 194321664 202276352 227560896 238958592 240203168 250646784 259095552 270228564 303414528 316606464 334195712 358437888 360304752 375970176 388643328 404552704 455121792 480406336 501293568 518191104 540457128 606829056 668391424 716875776 720609504 751940352 777286656 809105408 910243584 960812672 1002587136 1080914256 1213658112 1441219008 1503880704 1554573312 1820487168 1921625344 2005174272 2161828512 2427316224 2882438016 3007761408 3640974336 3843250688 4323657024 5764876032 6015522816 7281948672 7686501376 8647314048 11529752064 15373002752 17294628096 23059504128 34589256192 46119008256 69178512384 138357024768
- Sum of all divisors σ(n): 446151888000
- Sum of proper divisors (its aliquot sum) s(n): 307794863232
- 138357024768 is an abundant number, because the sum of its proper divisors (307794863232) is greater than itself. Its abundance is 169437838464
Bases of 138357024768
- Binary: 100000001101101011100010101000000000002
- Hexadecimal: 0x2036B8A800
- Base-36: 1RK677K0
Squares and roots of 138357024768
- 138357024768 squared (1383570247682) is 19142666302652965453824
- 138357024768 cubed (1383570247683) is 2648522355761715325403375528312832
-
The
square root of 138357024768 is 371963.7412006713 -
The
cube root of 138357024768 is 5172.1018851851
Scales and comparisons
How big is 138357024768?- 138,357,024,768 seconds is equal to 4,399 years, 16 weeks, 6 days, 10 hours, 52 minutes, 48 seconds.
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To count from 1 to 138,357,024,768 would take you about eight thousand, seven 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 138357024768 cubic inches would be around 431 feet tall.
Recreational maths with 138357024768
- 138357024768 backwards is 867420753831
- The number of decimal digits it has is: 12
- The sum of 138357024768's digits is 54
- More coming soon!
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