138971353248
138,971,353,248 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138971353248 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
138971353248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138971353248:
25 × 32 × 7 × 13 × 43 × 127 × 971
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 43 × 127 × 971)See below for interesting mathematical facts about the number 138971353248 from the Numbermatics database.
Names of 138971353248
- Cardinal: 138971353248 can be written as One hundred thirty-eight billion, nine hundred seventy-one million, three hundred fifty-three thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38971353248 × 1011
Factors of 138971353248
Divisors of 138971353248
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 43 48 52 56 63 72 78 84 86 91 96 104 112 117 126 127 129 144 156 168 172 182 208 224 234 252 254 258 273 288 301 312 336 344 364 381 387 416 468 504 508 516 546 559 602 624 672 688 728 762 774 819 889 903 936 971 1008 1016 1032 1092 1118 1143 1204 1248 1376 1456 1524 1548 1638 1651 1677 1778 1806 1872 1942 2016 2032 2064 2184 2236 2286 2408 2667 2709 2912 2913 3048 3096 3276 3302 3354 3556 3612 3744 3884 3913 4064 4128 4368 4472 4572 4816 4953 5031 5334 5418 5461 5826 6096 6192 6552 6604 6708 6797 7112 7224 7768 7826 8001 8736 8739 8944 9144 9632 9906 10062 10668 10836 10922 11557 11652 11739 12192 12384 12623 13104 13208 13416 13594 14224 14448 14859 15536 15652 16002 16383 17478 17888 18288 19812 20124 20391 21336 21672 21844 23114 23304 23478 25246 26208 26416 26832 27188 28448 28896 29718 31072 31304 32004 32766 34671 34956 35217 36576 37869 38227 39624 40248 40782 41753 42672 43344 43688 46228 46608 46956 49149 50492 52832 53664 54376 59436 61173 62608 64008 65532 69342 69912 70434 70993 75738 76454 79248 80496 81564 83506 85344 86688 87376 88361 92456 93216 93912 98298 100984 104013 108752 113607 114681 118872 122346 123317 125216 125259 128016 131064 138684 139824 140868 141986 151476 152908 158496 160992 163128 167012 174752 176722 184912 187824 196596 201968 208026 212979 217504 227214 229362 237744 244692 246634 250518 256032 262128 265083 277368 279648 281736 283972 292271 302952 305816 326256 334024 344043 353444 369824 369951 375648 375777 393192 403936 416052 425958 454428 458724 475488 489384 493268 496951 501036 524256 530166 542789 554736 563472 567944 584542 605904 611632 638937 652512 668048 688086 706888 739902 751554 786384 795249 832104 851916 863219 876813 908856 917448 978768 986536 993902 1002072 1060332 1085578 1109472 1109853 1126944 1135888 1169084 1211808 1223264 1277874 1336096 1376172 1413776 1479804 1490853 1503108 1572768 1590498 1603121 1628367 1664208 1703832 1726438 1753626 1817712 1834896 1957536 1973072 1987804 2004144 2120664 2171156 2219706 2271776 2338168 2555748 2589657 2630439 2752344 2827552 2959608 2981706 3006216 3180996 3206242 3256734 3328416 3407664 3452876 3507252 3635424 3669792 3799523 3946144 3975608 4008288 4241328 4342312 4439412 4472559 4676336 4809363 4885101 5111496 5179314 5260878 5302631 5504688 5919216 5963412 6012432 6361992 6412484 6513468 6815328 6905752 7014504 7599046 7768971 7951216 8482656 8684624 8878824 8945118 9352672 9618726 9770202 10222992 10358628 10521756 10605262 11009376 11221847 11398569 11838432 11926824 12024864 12723984 12824968 13026936 13811504 14029008 14428089 15198092 15537942 15902432 15907893 17369248 17757648 17890236 19237452 19540404 20445984 20717256 21043512 21210524 22443694 22797138 23853648 25447968 25649936 26053872 27623008 28058016 28856178 30396184 31075884 31815786 33665541 34195707 35515296 35780472 37118417 38474904 39080808 41434512 42087024 42421048 44887388 45594276 47707296 47723679 51299872 52107744 57712356 60792368 62151768 63631572 67331082 68391414 68934203 71560944 74236834 76949808 78161616 82869024 84174048 84842096 89774776 91188552 95447358 100996623 111355251 115424712 121584736 124303536 127263144 134662164 136782828 137868406 143121888 148473668 153899616 156323232 169684192 179549552 182377104 190894716 201993246 206802609 222710502 230849424 248607072 254526288 269324328 273565656 275736812 296947336 334065753 359099104 364754208 381789432 403986492 413605218 445421004 461698848 482539421 509052576 538648656 547131312 551473624 593894672 620407827 668131506 763578864 807972984 827210436 890842008 965078842 1077297312 1094262624 1102947248 1187789344 1240815654 1336263012 1447618263 1527157728 1615945968 1654420872 1781684016 1930157684 2205894496 2481631308 2672526024 2895236526 3231891936 3308841744 3563368032 3860315368 4342854789 4963262616 5345052048 5790473052 6617683488 7720630736 8685709578 9926525232 10690104096 11580946104 15441261472 17371419156 19853050464 23161892208 34742838312 46323784416 69485676624 138971353248
- Sum of all divisors σ(n): 502146957312
- Sum of proper divisors (its aliquot sum) s(n): 363175604064
- 138971353248 is an abundant number, because the sum of its proper divisors (363175604064) is greater than itself. Its abundance is 224204250816
Bases of 138971353248
- Binary: 100000010110110101011010010000101000002
- Hexadecimal: 0x205B5690A0
- Base-36: 1RUBYEG0
Squares and roots of 138971353248
- 138971353248 squared (1389713532482) is 19313037023580400149504
- 138971353248 cubed (1389713532483) is 2683958890495694294905912395988992
-
The
square root of 138971353248 is 372788.6173798765 -
The
cube root of 138971353248 is 5179.7455842209
Scales and comparisons
How big is 138971353248?- 138,971,353,248 seconds is equal to 4,418 years, 44 weeks, 4 days, 17 hours, 40 minutes, 48 seconds.
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To count from 1 to 138,971,353,248 would take you about eight thousand, eight hundred thirty-seven 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 138971353248 cubic inches would be around 431.6 feet tall.
Recreational maths with 138971353248
- 138971353248 backwards is 842353179831
- The number of decimal digits it has is: 12
- The sum of 138971353248's digits is 54
- More coming soon!
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