137931980850840
137,931,980,850,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137931980850840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
137931980850840 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 137931980850840:
23 × 3 × 5 × 112 × 113 × 1093 × 76913
(2 × 2 × 2 × 3 × 5 × 11 × 11 × 113 × 1093 × 76913)See below for interesting mathematical facts about the number 137931980850840 from the Numbermatics database.
Names of 137931980850840
- Cardinal: 137931980850840 can be written as One hundred thirty-seven trillion, nine hundred thirty-one billion, nine hundred eighty million, eight hundred fifty thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3793198085084 × 1014
Factors of 137931980850840
Divisors of 137931980850840
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 113 120 121 132 165 220 226 242 264 330 339 363 440 452 484 565 605 660 678 726 904 968 1093 1130 1210 1243 1320 1356 1452 1695 1815 2186 2260 2420 2486 2712 2904 3279 3390 3630 3729 4372 4520 4840 4972 5465 6215 6558 6780 7260 7458 8744 9944 10930 12023 12430 13116 13560 13673 14520 14916 16395 18645 21860 24046 24860 26232 27346 29832 32790 36069 37290 41019 43720 48092 49720 54692 60115 65580 68365 72138 74580 76913 82038 96184 109384 120230 123509 131160 132253 136730 144276 149160 153826 164076 180345 205095 230739 240460 247018 264506 273460 288552 307652 328152 360690 370527 384565 396759 410190 461478 480920 494036 529012 546920 615304 617545 661265 721380 741054 769130 793518 820380 846043 922956 988072 1058024 1153695 1235090 1322530 1358599 1442760 1482108 1538260 1587036 1640760 1692086 1845912 1852635 1983795 2307390 2470180 2538129 2645060 2717198 2964216 3076520 3174072 3384172 3705270 3967590 4075797 4230215 4614780 4940360 5076258 5290120 5434396 6768344 6792995 7410540 7935180 8151594 8460430 8691169 9229560 9306473 10152516 10868792 12690645 13585990 14821080 14944589 15870360 16303188 16920860 17382338 18612946 20305032 20378985 25381290 26073507 27171980 27919419 29889178 32606376 33841720 34764676 37225892 40757970 43455845 44833767 46532365 50762580 52147014 54343960 55838838 59778356 69529352 74451784 74722945 81515940 84065909 86911690 89667534 93064730 95602859 101525160 104294028 111677676 119556712 130367535 139597095 149445890 163031880 168131818 173823380 179335068 186129460 191205718 208588056 223355352 224168835 252197727 260735070 279194190 286808577 298891780 336263636 347646760 358670136 372258920 382411436 420329545 448337670 478014295 504395454 521470140 558388380 573617154 597783560 672527272 764822872 840659090 896675340 924724999 956028590 1008790908 1042940280 1051631449 1116776760 1147234308 1260988635 1434042885 1681318180 1793350680 1849449998 1912057180 2017581816 2103262898 2294468616 2521977270 2774174997 2868085770 3154894347 3362636360 3698899996 3824114360 4206525796 4623624995 5043954540 5258157245 5548349994 5736171540 6309788694 7397799992 8413051592 9247249990 9499447717 10087909080 10171974989 10516314490 11096699988 11472343080 12619577388 13870874985 15774471735 18494499980 18998895434 20343949978 21032628980 22193399976 25239154776 27741749970 28498343151 30515924967 31548943470 36988999960 37997790868 40687899956 42065257960 47497238585 50859874945 55483499940 56996686302 61031849934 63097886940 75995581736 81375799912 94994477170 101719749890 104493924887 110966999880 113993372604 122063699868 126195773880 142491715755 152579624835 189988954340 203439499780 208987849774 227986745208 244127399736 284983431510 305159249670 313481774661 379977908680 406878999560 417975699548 522469624435 569966863020 610318499340 626963549322 835951399096 1044939248870 1139933726040 1149433173757 1220636998680 1253927098644 1567408873305 2089878497740 2298866347514 2507854197288 3134817746610 3448299521271 4179756995480 4597732695028 5747165868785 6269635493220 6896599042542 9195465390056 11494331737570 12539270986440 13793198085084 17241497606355 22988663475140 27586396170168 34482995212710 45977326950280 68965990425420 137931980850840
- Sum of all divisors σ(n): 459284419581120
- Sum of proper divisors (its aliquot sum) s(n): 321352438730280
- 137931980850840 is an abundant number, because the sum of its proper divisors (321352438730280) is greater than itself. Its abundance is 183420457879440
Bases of 137931980850840
- Binary: 111110101110010110010101011100011000110100110002
- Hexadecimal: 0x7D72CAB8C698
- Base-36: 1CW52S3M3C
Squares and roots of 137931980850840
- 137931980850840 squared (1379319808508402) is 19025231341436492450328705600
- 137931980850840 cubed (1379319808508403) is 2624187845069819282476715250682763872704000
-
The
square root of 137931980850840 is 11744444.6803942161 -
The
cube root of 137931980850840 is 51668.0008117635
Scales and comparisons
How big is 137931980850840?- 137,931,980,850,840 seconds is equal to 4,385,810 years, 17 weeks, 4 days, 13 hours, 14 minutes.
-
To count from 1 to 137,931,980,850,840 would take you about ten million, nine hundred sixty-four thousand, five hundred twenty-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 137931980850840 cubic inches would be around 4305.7 feet tall.
Recreational maths with 137931980850840
- 137931980850840 backwards is 048058089139731
- 137931980850840 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137931980850840's digits is 66
- More coming soon!
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