12938712151654400

Names of 12938712151654400

• Cardinal: 12938712151654400 can be written as Twelve quadrillion, nine hundred thirty-eight trillion, seven hundred twelve billion, one hundred fifty-one million, six hundred fifty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.29387121516544 × 10¹⁶

Factors of 12938712151654400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 62046

Divisors of 12938712151654400

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 320 340 400 425 512 544 640 680 800 850 1024 1088 1280 1360 1600 1700 2048 2176 2560 2720 3200 3400 4096 4352 5120 5440 6400 6800 8192 8704 10240 10880 12800 13600 16384 17408 20480 21760 25301 25600 27200 32768 34816 36721 40960 43520 50602 51200 54400 69632 73442 81920 87040 101204 102400 108800 126505 139264 146884 163840 174080 183605 202408 204800 217600 253010 278528 293768 348160 367210 404816 409600 430117 435200 506020 557056 587536 624257 632525 696320 734420 809632 819200 860234 870400 918025 1012040 1175072 1248514 1265050 1392640 1468840 1619264 1720468 1740800 1836050 2024080 2150585 2350144 2497028 2530100 2785280 2937680 3121285 3238528 3440936 3481600 3672100 4048160 4301170 4700288 4994056 5060200 5875360 6242570 6477056 6881872 6963200 7344200 8096320 8602340 9400576 9988112 10120400 10752925 11750720 12485140 12954112 13763744 13926400 14688400 15606425 16192640 17204680 18801152 19976224 20240800 21505850 23501440 24970280 25908224 27527488 29376800 31212850 32385280 34409360 37602304 39952448 40481600 43011700 47002880 49940560 51816448 55054976 58753600 62425700 64770560 68818720 75204608 79904896 80963200 86023400 94005760 99881120 103632896 110109952 117507200 124851400 129541120 137637440 150409216 159809792 161926400 172046800 188011520 199762240 207265792 220219904 235014400 249702800 259082240 275274880 300818432 319619584 323852800 344093600 376023040 399524480 414531584 440439808 470028800 499405600 518164480 550549760 601636864 639239168 647705600 688187200 752046080 799048960 829063168 880879616 929078021 940057600 998811200 1036328960 1101099520 1203273728 1278478336 1295411200 1376374400 1504092160 1598097920 1761759232 1858156042 1880115200 1997622400 2072657920 2202199040 2556956672 2590822400 2752748800 3008184320 3196195840 3523518464 3716312084 3760230400 3995244800 4145315840 4404398080 4645390105 5113913344 5181644800 5505497600 6016368640 6392391680 7047036928 7432624168 7520460800 7990489600 8808796160 9290780210 10227826688 10363289600 11010995200 12784783360 14094073856 14865248336 15040921600 15794326357 15980979200 17617592320 18581560420 20455653376 20726579200 22021990400 23226950525 25569566720 29730496672 30081843200 31588652714 31961958400 35235184640 37163120840 44043980800 46453901050 51139133440 59460993344 63177305428 63923916800 70470369280 74326241680 78971631785 88087961600 92907802100 102278266880 118921986688 126354610856 127847833600 148652483360 157943263570 176175923200 185815604200 237843973376 252709221712 255695667200 297304966720 315886527140 352351846400 371631208400 394858158925 475687946752 505418443424 511391334400 594609933440 631773054280 743262416800 789716317850 951375893504 1010836886848 1189219866880 1263546108560 1486524833600 1579432635700 1902751787008 2021673773696 2378439733760 2527092217120 2973049667200 3158865271400 3805503574016 4043347547392 4756879467520 5054184434240 5946099334400 6317730542800 7611007148032 8086695094784 9513758935040 10108368868480 11892198668800 12635461085600 15222014296064 16173390189568 19027517870080 20216737736960 23784397337600 25270922171200 30444028592128 32346780379136 38055035740160 40433475473920 47568794675200 50541844342400 64693560758272 76110071480320 80866950947840 95137589350400 101083688684800 129387121516544 152220142960640 161733901895680 190275178700800 202167377369600 258774243033088 323467803791360 380550357401600 404334754739200 517548486066176 646935607582720 761100714803200 808669509478400 1293871215165440 1617339018956800 2587742430330880 3234678037913600 6469356075827200 12938712151654400
• Sum of all divisors σ(n): 33977285573215320
• Sum of proper divisors (its aliquot sum) s(n): 21038573421560920
• 12938712151654400 is an abundant number, because the sum of its proper divisors (21038573421560920) is greater than itself. Its abundance is 8099861269906520

Bases of 12938712151654400

• Binary: 101101111101111011000010101101101001101000000000000000₂
• Hexadecimal: 0x2DF7B0ADA68000
• Base-36: 3JEE2AZG3CW

Squares and roots of 12938712151654400

• 12938712151654400 squared (12938712151654400²) is 167410272143369233264657039360000
• 12938712151654400 cubed (12938712151654400³) is 2166073322493181594611592260263308829917184000000
• The square root of 12938712151654400 is 113748459.9968474299
• The cube root of 12938712151654400 is 234763.3782529515

Scales and comparisons

• 12,938,712,151,654,400 seconds is equal to 411,411,024 years, 18 weeks, 4 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 12,938,712,151,654,400 would take you about one billion, two hundred thirty-four million, two hundred thirty-three thousand and seventy-three 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 12938712151654400 cubic inches would be around 19563.6 feet tall.

Recreational maths with 12938712151654400

• 12938712151654400 backwards is 00445615121783921
• The number of decimal digits it has is: 17
• The sum of 12938712151654400's digits is 59
• More coming soon!