137330968656000

Names of 137330968656000

• Cardinal: 137330968656000 can be written as One hundred thirty-seven trillion, three hundred thirty billion, nine hundred sixty-eight million, six hundred fifty-six thousand.

Scientific notation

• Scientific notation: 1.37330968656 × 10¹⁴

Factors of 137330968656000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 7711827

Divisors of 137330968656000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 53 56 60 64 70 75 80 84 96 100 105 106 112 120 125 128 140 150 159 160 168 175 192 200 210 212 224 240 250 265 280 300 318 320 336 350 371 375 384 400 420 424 448 480 500 525 530 560 600 636 640 672 700 742 750 795 800 840 848 875 896 960 1000 1050 1060 1113 1120 1200 1272 1325 1344 1400 1484 1500 1590 1600 1680 1696 1750 1855 1920 2000 2100 2120 2226 2240 2400 2544 2625 2650 2688 2800 2968 3000 3180 3200 3360 3392 3500 3710 3975 4000 4200 4240 4452 4480 4800 5088 5250 5300 5565 5600 5936 6000 6360 6625 6720 6784 7000 7420 7950 8000 8400 8480 8904 9275 9600 10176 10500 10600 11130 11200 11872 12000 12720 13250 13440 14000 14840 15900 16000 16800 16960 17808 18550 19875 20352 21000 21200 22260 22400 23744 24000 25440 26500 27825 28000 29680 31800 33600 33920 35616 37100 39750 42000 42400 44520 46375 47488 48000 50880 53000 55650 56000 59360 63600 67200 71232 74200 79500 84000 84800 89040 92750 101760 106000 111300 112000 118720 127200 139125 142464 148400 159000 168000 169600 178080 185500 212000 222600 237440 254400 278250 296800 318000 336000 356160 371000 424000 445200 508800 556500 593600 636000 712320 742000 848000 890400 1113000 1187200 1272000 1484000 1780800 2226000 2544000 2968000 3561600 4452000 5936000 7711757 8904000 15423514 17808000 23135271 30847028 38558785 46270542 53982299 61694056 77117570 92541084 107964598 115676355 123388112 154235140 161946897 185082168 192793925 215929196 231352710 246776224 269911495 308470280 323893794 370164336 385587850 408723121 431858392 462705420 493552448 539822990 578381775 616940560 647787588 740328672 771175700 809734485 817446242 863716784 925410840 963969625 987104896 1079645980 1156763550 1226169363 1233881120 1295575176 1349557475 1480657344 1542351400 1619468970 1634892484 1727433568 1850821680 1927939250 2043615605 2159291960 2313527100 2452338726 2467762240 2591150352 2699114950 2861061847 2891908875 2961314688 3084702800 3238937940 3269784968 3454867136 3701643360 3855878500 4048672425 4087231210 4318583920 4627054200 4904677452 4935524480 5182300704 5398229900 5722123694 5783817750 6130846815 6169405600 6477875880 6539569936 6747787375 6909734272 7403286720 7711757000 8097344850 8174462420 8583185541 8637167840 9254108400 9809354904 10218078025 10364601408 10796459800 11444247388 11567635500 12261693630 12338811200 12955751760 13079139872 13495574750 14305309235 14806573440 15423514000 16194689700 16348924840 17166371082 17274335680 18508216800 19618709808 20243362125 20436156050 20729202816 21592919600 22888494776 23135271000 24523387260 24677622400 25911503520 26158279744 26991149500 28610618470 30654234075 30847028000 32389379400 32697849680 34332742164 34548671360 37016433600 39237419616 40486724250 40872312100 42915927705 43185839200 45776989552 46270542000 49046774520 51090390125 51823007040 52316559488 53982299000 57221236940 61308468150 61694056000 64778758800 65395699360 68665484328 71526546175 74032867200 78474839232 80973448500 81744624200 85831855410 86371678400 91553979104 92541084000 98093549040 102180780250 103646014080 107964598000 114442473880 122616936300 123388112000 129557517600 130791398720 137330968656 143053092350 153271170375 156949678464 161946897000 163489248400 171663710820 172743356800 183107958208 185082168000 196187098080 204361560500 214579638525 215929196000 228884947760 245233872600 259115035200 261582797440 274661937312 286106184700 306542340750 323893794000 326978496800 343327421640 357632730875 366215916416 370164336000 392374196160 408723121000 429159277050 431858392000 457769895520 490467745200 518230070400 549323874624 572212369400 613084681500 647787588000 653956993600 686654843280 715265461750 784748392320 817446242000 858318554100 863716784000 915539791040 980935490400 1072898192625 1098647749248 1144424738800 1226169363000 1295575176000 1307913987200 1373309686560 1430530923500 1634892484000 1716637108200 1831079582080 1961870980800 2145796385250 2288849477600 2452338726000 2591150352000 2746619373120 2861061847000 3269784968000 3433274216400 3923741961600 4291592770500 4577698955200 4904677452000 5493238746240 5722123694000 6539569936000 6866548432800 8583185541000 9155397910400 9809354904000 11444247388000 13733096865600 17166371082000 19618709808000 22888494776000 27466193731200 34332742164000 45776989552000 68665484328000 137330968656000
• Sum of all divisors σ(n): 530105011038720
• Sum of proper divisors (its aliquot sum) s(n): 392774042382720
• 137330968656000 is an abundant number, because the sum of its proper divisors (392774042382720) is greater than itself. Its abundance is 255443073726720

Bases of 137330968656000

• Binary: 11111001110011011011011100110100111100010000000₂
• Hexadecimal: 0x7CE6DB9A7880
• Base-36: 1COGZ4YGLC

Squares and roots of 137330968656000

• 137330968656000 squared (137330968656000²) is 18859794951995254446336000000
• 137330968656000 cubed (137330968656000³) is 2590033909411047313030513850044416000000000
• The square root of 137330968656000 is 11718829.6623852335
• The cube root of 137330968656000 is 51592.8470765141

Scales and comparisons

• 137,330,968,656,000 seconds is equal to 4,366,700 years, 3 days, 21 hours, 20 minutes.
• To count from 1 to 137,330,968,656,000 would take you about ten million, nine hundred sixteen thousand, seven hundred fifty 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 137330968656000 cubic inches would be around 4299.4 feet tall.

Recreational maths with 137330968656000

• 137330968656000 backwards is 000656869033731
• The number of decimal digits it has is: 15
• The sum of 137330968656000's digits is 57
• More coming soon!