137965429118464000

Names of 137965429118464000

• Cardinal: 137965429118464000 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-five trillion, four hundred twenty-nine billion, one hundred eighteen million, four hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.37965429118464 × 10¹⁷

Factors of 137965429118464000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 4134

Divisors of 137965429118464000

• Number of divisors d(n): 1664
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 32 38 40 41 50 64 76 80 82 95 100 125 128 137 152 160 164 190 200 205 250 256 274 304 320 328 380 400 410 475 500 512 548 608 640 656 685 760 779 800 809 820 950 1000 1024 1025 1096 1216 1280 1312 1370 1520 1558 1600 1618 1640 1900 2000 2048 2050 2192 2375 2432 2560 2603 2624 2740 3040 3116 3121 3200 3236 3280 3425 3800 3895 4000 4045 4096 4100 4384 4750 4864 5120 5125 5206 5248 5480 5617 6080 6232 6242 6400 6472 6560 6850 7600 7790 8000 8090 8200 8768 9500 9728 10240 10250 10412 10496 10960 11234 12160 12464 12484 12800 12944 13015 13120 13700 15200 15371 15580 15605 16000 16180 16400 17125 17536 19000 19456 19475 20225 20480 20500 20824 20992 21920 22468 24320 24928 24968 25600 25888 26030 26240 27400 28085 30400 30742 31160 31210 32000 32360 32800 33169 34250 35072 38000 38912 38950 40450 41000 41648 41984 43840 44936 48640 49856 49936 51200 51776 52060 52480 54800 56170 59299 60800 61484 62320 62420 64000 64720 65075 65600 66338 68500 70144 76000 76855 77824 77900 78025 80900 82000 83296 83968 87680 89872 97280 97375 99712 99872 101125 102400 103552 104120 104960 106723 109600 110833 112340 118598 121600 122968 124640 124840 127961 128000 129440 130150 131200 132676 137000 140288 140425 152000 153710 155800 156050 161800 164000 165845 166592 167936 175360 179744 194560 194750 199424 199744 202250 207104 208240 209920 213446 219200 221666 224680 237196 243200 245936 249280 249680 255922 256000 258880 260300 262400 265352 274000 280576 280850 296495 304000 307420 311600 312100 323600 325375 328000 331690 333184 350720 359488 384275 389120 389500 390125 398848 399488 404500 414208 416480 419840 426892 427577 438400 443332 449360 474392 486400 491872 498560 499360 511844 512000 517760 520600 524800 530704 533615 548000 554165 561152 561700 592990 608000 614840 623200 624200 630211 639805 647200 650750 656000 663380 666368 701440 702125 718976 768550 779000 780250 797696 798976 809000 828416 829225 832960 839680 853784 855154 876800 886664 898720 948784 972800 983744 997120 998720 1023688 1035520 1041200 1049600 1061408 1067230 1096000 1108330 1123400 1185980 1216000 1229680 1246400 1248400 1260422 1279610 1294400 1301500 1312000 1326760 1332736 1402880 1404250 1437952 1482475 1537100 1558000 1560500 1595392 1597952 1618000 1656832 1658450 1665920 1707568 1710308 1753600 1773328 1797440 1897568 1921375 1945600 1967488 1994240 1997440 2047376 2071040 2082400 2099200 2105827 2122816 2134460 2137885 2192000 2216660 2246800 2371960 2431259 2432000 2459360 2492800 2496800 2520844 2524889 2559220 2588800 2603000 2624000 2653520 2665472 2668075 2770825 2805760 2808500 2875904 2964950 3074200 3116000 3121000 3151055 3190784 3195904 3199025 3236000 3313664 3316900 3331840 3415136 3420616 3507200 3546656 3594880 3795136 3842750 3934976 3988480 3994880 4094752 4142080 4146125 4164800 4198400 4211654 4245632 4268920 4275770 4384000 4433320 4493600 4544153 4743920 4862518 4864000 4918720 4985600 4993600 5041688 5049778 5118440 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14182301513000 14522676749312 15735108248000 16825052331520 17053823129600 17245678639808 17710581401600 18153345936640 20140938557440 21031315414400 21317278912000 21557098299760 22102760192000 22138226752000 22691682420800 24562120192000 25176173196800 26289144268000 26501234944000 26920083730432 26946372874700 28364603026000 29045353498624 31470216496000 33650104663040 33682966093375 34107646259200 34491357279616 35421162803200 36306691873280 40281877114880 42062630828800 42634557824000 43114196599520 44205520384000 44276453504000 45383364841600 50352346393600 52578288536000 53002469888000 53892745749400 56729206052000 58090706997248 62940432992000 67300209326080 67365932186750 68982714559232 72613383746560 84125261657600 85269115648000 86228393199040 88552907008000 90766729683200 100704692787200 105156577072000 107785491498800 113458412104000 125880865984000 134600418652160 134731864373500 137965429118464 145226767493120 168250523315200 170538231296000 172456786398080 177105814016000 181533459366400 201409385574400 210313154144000 215570982997600 226916824208000 251761731968000 269463728747000 275930858236928 290453534986240 336501046630400 344913572796160 363066918732800 420626308288000 431141965995200 453833648416000 503523463936000 538927457494000 551861716473856 673002093260800 689827145592320 726133837465600 841252616576000 862283931990400 907667296832000 1007046927872000 1077854914988000 1103723432947712 1379654291184640 1452267674931200 1682505233152000 1724567863980800 1815334593664000 2155709829976000 2759308582369280 3365010466304000 3449135727961600 3630669187328000 4311419659952000 5518617164738560 6898271455923200 7261338374656000 8622839319904000 13796542911846400 17245678639808000 27593085823692800 34491357279616000 68982714559232000 137965429118464000
• Sum of all divisors σ(n): 374574160077062400
• Sum of proper divisors (its aliquot sum) s(n): 236608730958598400
• 137965429118464000 is an abundant number, because the sum of its proper divisors (236608730958598400) is greater than itself. Its abundance is 98643301840134400

Bases of 137965429118464000

• Binary: 111101010001001101101001110101001111000111111000000000000₂
• Hexadecimal: 0x1EA26D3A9E3F000
• Base-36: 11QGNV5RBBWG

Squares and roots of 137965429118464000

• 137965429118464000 squared (137965429118464000²) is 19034459631841914176145719296000000
• 137965429118464000 cubed (137965429118464000³) is 2626097391145149975319646250149144474681344000000000
• The square root of 137965429118464000 is 371436978.6632235679
• The cube root of 137965429118464000 is 516721.7694126177

Scales and comparisons

• 137,965,429,118,464,000 seconds is equal to 4,386,873,890 years, 45 weeks, 3 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 137,965,429,118,464,000 would take you about thirteen billion, one hundred sixty million, six hundred twenty-one thousand, six hundred seventy-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 137965429118464000 cubic inches would be around 43060.1 feet tall.

Recreational maths with 137965429118464000

• 137965429118464000 backwards is 000464811924569731
• The number of decimal digits it has is: 18
• The sum of 137965429118464000's digits is 70
• More coming soon!