137163363840
137,163,363,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 137163363840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
137163363840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137163363840:
29 × 32 × 5 × 31 × 181 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 181 × 1061)See below for interesting mathematical facts about the number 137163363840 from the Numbermatics database.
Names of 137163363840
- Cardinal: 137163363840 can be written as One hundred thirty-seven billion, one hundred sixty-three million, three hundred sixty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3716336384 × 1011
Factors of 137163363840
Divisors of 137163363840
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 80 90 93 96 120 124 128 144 155 160 180 181 186 192 240 248 256 279 288 310 320 360 362 372 384 465 480 496 512 543 558 576 620 640 720 724 744 768 905 930 960 992 1061 1086 1116 1152 1240 1280 1395 1440 1448 1488 1536 1629 1810 1860 1920 1984 2122 2172 2232 2304 2480 2560 2715 2790 2880 2896 2976 3183 3258 3620 3720 3840 3968 4244 4344 4464 4608 4960 5305 5430 5580 5611 5760 5792 5952 6366 6516 7240 7440 7680 7936 8145 8488 8688 8928 9549 9920 10610 10860 11160 11222 11520 11584 11904 12732 13032 14480 14880 15872 15915 16290 16833 16976 17376 17856 19098 19840 21220 21720 22320 22444 23040 23168 23808 25464 26064 28055 28960 29760 31830 32580 32891 33666 33952 34752 35712 38196 39680 42440 43440 44640 44888 46336 47616 47745 50499 50928 52128 56110 57920 59520 63660 65160 65782 67332 67904 69504 71424 76392 79360 84165 84880 86880 89280 89776 92672 95490 98673 100998 101856 104256 112220 115840 119040 127320 130320 131564 134664 135808 139008 142848 152784 164455 168330 169760 173760 178560 179552 190980 192041 197346 201996 203712 208512 224440 231680 238080 252495 254640 260640 263128 269328 271616 278016 296019 305568 328910 336660 339520 347520 357120 359104 381960 384082 394692 403992 407424 417024 448880 463360 493365 504990 509280 521280 526256 538656 543232 576123 592038 611136 657820 673320 679040 695040 714240 718208 763920 768164 789384 807984 814848 834048 897760 960205 986730 1009980 1018560 1042560 1052512 1077312 1152246 1184076 1222272 1315640 1346640 1358080 1390080 1436416 1480095 1527840 1536328 1578768 1615968 1629696 1728369 1795520 1920410 1973460 2019960 2037120 2085120 2105024 2154624 2304492 2368152 2444544 2631280 2693280 2716160 2872832 2880615 2960190 3055680 3072656 3157536 3231936 3456738 3591040 3840820 3946920 4039920 4074240 4170240 4210048 4309248 4608984 4736304 4889088 5262560 5386560 5761230 5920380 5953271 6111360 6145312 6315072 6463872 6913476 7182080 7681640 7893840 8079840 8148480 8420096 8618496 8641845 9217968 9472608 10525120 10773120 11522460 11840760 11906542 12222720 12290624 12630144 12927744 13826952 14364160 15363280 15787680 16159680 16840192 17283690 17859813 18435936 18945216 21050240 21546240 23044920 23681520 23813084 24445440 24581248 25260288 25855488 27653904 29766355 30726560 31575360 32319360 34567380 35719626 36871872 37890432 42100480 43092480 46089840 47363040 47626168 49162496 50520576 53579439 55307808 59532710 61453120 63150720 64638720 69134760 71439252 73743744 75780864 84200960 89299065 92179680 94726080 95252336 98324992 107158878 110615616 119065420 122906240 126301440 129277440 138269520 142878504 147487488 151561728 178598130 184359360 189452160 190504672 214317756 221231232 238130840 245812480 252602880 267897195 276539040 285757008 294974976 357196260 368718720 378904320 381009344 428635512 442462464 476261680 491624960 535794390 553078080 571514016 714392520 737437440 757808640 762018688 857271024 884924928 952523360 1071588780 1106156160 1143028032 1428785040 1474874880 1524037376 1714542048 1905046720 2143177560 2212312320 2286056064 2857570080 3048074752 3429084096 3810093440 4286355120 4424624640 4572112128 5715140160 6858168192 7620186880 8572710240 9144224256 11430280320 13716336384 15240373760 17145420480 22860560640 27432672768 34290840960 45721121280 68581681920 137163363840
- Sum of all divisors σ(n): 493532911872
- Sum of proper divisors (its aliquot sum) s(n): 356369548032
- 137163363840 is an abundant number, because the sum of its proper divisors (356369548032) is greater than itself. Its abundance is 219206184192
Bases of 137163363840
- Binary: 11111111011111001001011010110000000002
- Hexadecimal: 0x1FEF92D600
- Base-36: 1R0FIWW0
Squares and roots of 137163363840
- 137163363840 squared (1371633638402) is 18813788379904219545600
- 137163363840 cubed (1371633638403) is 2580562500761566609884372271104000
-
The
square root of 137163363840 is 370355.7260796705 -
The
cube root of 137163363840 is 5157.1849797881
Scales and comparisons
How big is 137163363840?- 137,163,363,840 seconds is equal to 4,361 years, 19 weeks, 1 day, 22 hours, 24 minutes.
-
To count from 1 to 137,163,363,840 would take you about eight thousand, seven hundred twenty-two 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 137163363840 cubic inches would be around 429.8 feet tall.
Recreational maths with 137163363840
- 137163363840 backwards is 048363361731
- 137163363840 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137163363840's digits is 45
- More coming soon!
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