137897936281441200

Names of 137897936281441200

• Cardinal: 137897936281441200 can be written as One hundred thirty-seven quadrillion, eight hundred ninety-seven trillion, nine hundred thirty-six billion, two hundred eighty-one million, four hundred forty-one thousand, two hundred.

Scientific notation

• Scientific notation: 1.378979362814412 × 10¹⁷

Factors of 137897936281441200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 411985

Divisors of 137897936281441200

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4759 9518 14277 19036 23795 28554 38072 47590 57108 71385 72043 76144 95180 114216 118975 142770 144086 190360 216129 228432 237950 285540 288172 335173 356925 360215 380720 432258 475900 571080 576344 670346 713850 720430 864516 951800 1005519 1080645 1142160 1152688 1340692 1427700 1440860 1675865 1729032 1801075 1903600 2011038 2161290 2681384 2855400 2881720 3351730 3458064 3602150 4022076 4322580 5027595 5362768 5403225 5710800 5763440 6703460 7204300 8044152 8379325 8645160 10055190 10806450 13406920 14408600 16088304 16758650 17290320 20110380 21612900 25137975 26813840 28817200 33517300 40220760 43225800 50275950 67034600 80441520 86451600 100551900 134069200 201103800 342852637 402207600 685705274 1028557911 1371410548 1595088307 1714263185 2057115822 2742821096 3190176614 3428526370 4114231644 4785264921 5142789555 5485642192 6380353228 6857052740 7975441535 8228463288 8571315925 9570529842 10285579110 12760706456 13714105480 15950883070 16456926576 17142631850 19141059684 20571158220 23926324605 24146868439 25521412912 25713947775 27428210960 31901766140 34285263700 38282119368 39877207675 41142316440 47852649210 48293736878 51427895550 63803532280 68570527400 72440605317 76564238736 79754415350 82284632880 95705298420 96587473756 102855791100 119631623025 120734342195 127607064560 137141054800 144881210634 159508830700 191410596840 193174947512 205711582200 239263246050 241468684390 289762421268 319017661400 362203026585 382821193680 386349895024 411423164400 478526492100 482937368780 579524842536 603671710975 638035322800 724406053170 957052984200 965874737560 1159049685072 1207343421950 1448812106340 1811015132925 1914105968400 1931749475120 2414686843900 2897624212680 3622030265850 4829373687800 5795248425360 7244060531700 9658747375600 14488121063400 28976242126800 114914946901201 229829893802402 344744840703603 459659787604804 574574734506005 689489681407206 919319575209608 1149149469012010 1378979362814412 1723724203518015 1838639150419216 2298298938024020 2757958725628824 2872873672530025 3447448407036030 4596597876048040 5515917451257648 5745747345060050 6894896814072060 8618621017590075 9193195752096080 11491494690120100 13789793628144120 17237242035180150 22982989380240200 27579587256288240 34474484070360300 45965978760480400 68948968140720600 137897936281441200
• Sum of all divisors σ(n): 441833327479120640
• Sum of proper divisors (its aliquot sum) s(n): 303935391197679440
• 137897936281441200 is an abundant number, because the sum of its proper divisors (303935391197679440) is greater than itself. Its abundance is 166037454916238240

Bases of 137897936281441200

• Binary: 111101001111010010111000101000011010100001001001110110000₂
• Hexadecimal: 0x1E9E971435093B0
• Base-36: 11PSQLDMRJ5C

Squares and roots of 137897936281441200

• 137897936281441200 squared (137897936281441200²) is 19015840830680417249935549057440000
• 137897936281441200 cubed (137897936281441200³) is 2622245207207196076780601795370282293224782528000000
• The square root of 137897936281441200 is 371346113.8633891777
• The cube root of 137897936281441200 is 516637.4953861373

Scales and comparisons

• 137,897,936,281,441,200 seconds is equal to 4,384,727,827 years, 22 weeks, 1 day, 8 hours, 20 minutes.
• To count from 1 to 137,897,936,281,441,200 would take you about thirteen billion, one hundred fifty-four million, one hundred eighty-three thousand, four hundred eighty-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 137897936281441200 cubic inches would be around 43053.1 feet tall.

Recreational maths with 137897936281441200

• 137897936281441200 backwards is 002144182639798731
• 137897936281441200 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137897936281441200's digits is 75
• More coming soon!