138788826120
138,788,826,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138788826120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
138788826120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138788826120:
23 × 32 × 5 × 7 × 41 × 607 × 2213
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 41 × 607 × 2213)See below for interesting mathematical facts about the number 138788826120 from the Numbermatics database.
Names of 138788826120
- Cardinal: 138788826120 can be written as One hundred thirty-eight billion, seven hundred eighty-eight million, eight hundred twenty-six thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3878882612 × 1011
Factors of 138788826120
Divisors of 138788826120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 41 42 45 56 60 63 70 72 82 84 90 105 120 123 126 140 164 168 180 205 210 246 252 280 287 315 328 360 369 410 420 492 504 574 607 615 630 738 820 840 861 984 1148 1214 1230 1260 1435 1476 1640 1722 1821 1845 2213 2296 2428 2460 2520 2583 2870 2952 3035 3444 3642 3690 4249 4305 4426 4856 4920 5166 5463 5740 6070 6639 6888 7284 7380 8498 8610 8852 9105 10332 10926 11065 11480 12140 12747 12915 13278 14568 14760 15491 16996 17220 17704 18210 19917 20664 21245 21852 22130 24280 24887 25494 25830 26556 27315 30982 33195 33992 34440 36420 38241 39834 42490 43704 44260 46473 49774 50988 51660 53112 54630 61964 63735 66390 72840 74661 76482 77455 79668 84980 88520 90733 92946 99548 99585 101976 103320 109260 123928 124435 127470 132780 139419 149322 152964 154910 159336 169960 174209 181466 185892 191205 199096 199170 218520 223983 232365 248870 254940 265560 272199 278838 298644 305928 309820 348418 362932 371784 373305 382410 398340 447966 453665 464730 497740 509880 522627 544398 557676 597288 619640 635131 696836 697095 725864 746610 764820 796680 816597 871045 895932 907330 929460 995480 1045254 1088796 1115352 1119915 1270262 1343291 1360995 1393672 1394190 1493220 1529640 1567881 1633194 1742090 1791864 1814660 1858920 1905393 2090508 2177592 2239830 2540524 2613135 2686582 2721990 2788380 2986440 3135762 3175655 3266388 3484180 3629320 3810786 4029873 4082985 4181016 4479660 5081048 5226270 5373164 5443980 5576760 5716179 6271524 6351310 6532776 6716455 6968360 7621572 7839405 8059746 8165970 8959320 9403037 9526965 10452540 10746328 10887960 11432358 12089619 12543048 12702620 13432910 15243144 15678810 16119492 16331940 18806074 19053930 20149365 20905080 22864716 24179238 25405240 26865820 28209111 28580895 31357620 32238984 32663880 37612148 38107860 40298730 45729432 47015185 48358476 53731640 55074931 56418222 57161790 60448095 62715240 75224296 76215720 80597460 84627333 94030370 96716952 110149862 112836444 114323580 120896190 141045555 161194920 165224793 169254666 188060740 220299724 225672888 228647160 241792380 275374655 282091110 330449586 338509332 376121480 385524517 423136665 440599448 483584760 495674379 550749310 564182220 660899172 677018664 771049034 826123965 846273330 991348758 1101498620 1128364440 1156573551 1321798344 1542098068 1652247930 1692546660 1927622585 1982697516 2202997240 2313147102 2478371895 3084196136 3304495860 3385093320 3469720653 3855245170 3965395032 4626294204 4956743790 5782867755 6608991720 6939441306 7710490340 9252588408 9913487580 11565735510 13878882612 15420980680 17348603265 19826975160 23131471020 27757765224 34697206530 46262942040 69394413060 138788826120
- Sum of all divisors σ(n): 529183549440
- Sum of proper divisors (its aliquot sum) s(n): 390394723320
- 138788826120 is an abundant number, because the sum of its proper divisors (390394723320) is greater than itself. Its abundance is 251605897200
Bases of 138788826120
- Binary: 100000010100000111010101101100000010002
- Hexadecimal: 0x2050756C08
- Base-36: 1RRBA7M0
Squares and roots of 138788826120
- 138788826120 squared (1387888261202) is 19262338255767594254400
- 138788826120 cubed (1387888261203) is 2673397314844352726104632644928000
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The
square root of 138788826120 is 372543.7237694389 -
The
cube root of 138788826120 is 5177.4768713155
Scales and comparisons
How big is 138788826120?- 138,788,826,120 seconds is equal to 4,413 years, 2 weeks, 6 days, 3 hours, 42 minutes.
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To count from 1 to 138,788,826,120 would take you about eight thousand, eight hundred twenty-six 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 138788826120 cubic inches would be around 431.5 feet tall.
Recreational maths with 138788826120
- 138788826120 backwards is 021628887831
- The number of decimal digits it has is: 12
- The sum of 138788826120's digits is 54
- More coming soon!
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