137935431782400

Names of 137935431782400

• Cardinal: 137935431782400 can be written as One hundred thirty-seven trillion, nine hundred thirty-five billion, four hundred thirty-one million, seven hundred eighty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.379354317824 × 10¹⁴

Factors of 137935431782400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 8026

Divisors of 137935431782400

• Number of divisors d(n): 468
• 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 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 512 525 560 600 640 672 700 768 800 840 896 960 1024 1050 1120 1200 1280 1344 1400 1536 1600 1680 1792 1920 2048 2100 2240 2400 2560 2688 2800 3072 3200 3360 3584 3840 4096 4200 4480 4800 5120 5376 5600 6144 6400 6720 7168 7680 8009 8400 8960 9600 10240 10752 11200 12288 12800 13440 14336 15360 16018 16800 17920 19200 20480 21504 22400 24027 25600 26880 28672 30720 32036 33600 35840 38400 40045 43008 44800 48054 51200 53760 56063 61440 64072 67200 71680 76800 80090 86016 89600 96108 102400 107520 112126 120135 128144 134400 143360 153600 160180 168189 179200 192216 200225 215040 224252 240270 256288 268800 280315 307200 320360 336378 358400 384432 400450 430080 448504 480540 512576 537600 560630 600675 640720 672756 716800 768864 800900 840945 897008 961080 1025152 1075200 1121260 1201350 1281440 1345512 1401575 1537728 1601800 1681890 1794016 1922160 2050304 2150400 2242520 2402700 2562880 2691024 2803150 3075456 3203600 3363780 3588032 3844320 4100608 4204725 4485040 4805400 5125760 5382048 5606300 6150912 6407200 6727560 7176064 7688640 8201216 8409450 8970080 9610800 10251520 10764096 11212600 12301824 12814400 13455120 14352128 15377280 16402432 16818900 17940160 19221600 20503040 21528192 22425200 24603648 25628800 26910240 28704256 30754560 32804864 33637800 35880320 38443200 41006080 43056384 44850400 49207296 51257600 53820480 57408512 61509120 64144081 67275600 71760640 76886400 82012160 86112768 89700800 98414592 102515200 107640960 114817024 123018240 128288162 134551200 143521280 153772800 164024320 172225536 179401600 192432243 205030400 215281920 229634048 246036480 256576324 269102400 287042560 307545600 320720405 344451072 358803200 384864486 410060800 430563840 449008567 492072960 513152648 538204800 574085120 615091200 641440810 688902144 717606400 769728972 820121600 861127680 898017134 962161215 1026305296 1076409600 1148170240 1230182400 1282881620 1347025701 1435212800 1539457944 1603602025 1722255360 1796034268 1924322430 2052610592 2152819200 2245042835 2460364800 2565763240 2694051402 2870425600 3078915888 3207204050 3444510720 3592068536 3848644860 4105221184 4305638400 4490085670 4810806075 5131526480 5388102804 5740851200 6157831776 6414408100 6735128505 7184137072 7697289720 8210442368 8611276800 8980171340 9621612150 10263052960 10776205608 11225214175 12315663552 12828816200 13470257010 14368274144 15394579440 16420884736 17222553600 17960342680 19243224300 20526105920 21552411216 22450428350 24631327104 25657632400 26940514020 28736548288 30789158880 32841769472 33675642525 35920685360 38486448600 41052211840 43104822432 44900856700 49262654208 51315264800 53881028040 57473096576 61578317760 65683538944 67351285050 71841370720 76972897200 82104423680 86209644864 89801713400 98525308416 102630529600 107762056080 114946193152 123156635520 131367077888 134702570100 143682741440 153945794400 164208847360 172419289728 179603426800 197050616832 205261059200 215524112160 229892386304 246313271040 262734155776 269405140200 287365482880 307891588800 328417694720 344838579456 359206853600 394101233664 410522118400 431048224320 459784772608 492626542080 538810280400 574730965760 615783177600 656835389440 689677158912 718413707200 788202467328 821044236800 862096448640 919569545216 985253084160 1077620560800 1149461931520 1231566355200 1313670778880 1379354317824 1436827414400 1642088473600 1724192897280 1839139090432 1970506168320 2155241121600 2298923863040 2463132710400 2758708635648 2873654828800 3284176947200 3448385794560 3941012336640 4310482243200 4597847726080 4926265420800 5517417271296 5747309657600 6568353894400 6896771589120 8620964486400 9195695452160 9852530841600 11494619315200 13793543178240 17241928972800 19705061683200 22989238630400 27587086356480 34483857945600 45978477260800 68967715891200 137935431782400
• Sum of all divisors σ(n): 521266019161952
• Sum of proper divisors (its aliquot sum) s(n): 383330587379552
• 137935431782400 is an abundant number, because the sum of its proper divisors (383330587379552) is greater than itself. Its abundance is 245395155597152

Bases of 137935431782400

• Binary: 11111010111001110011000011010011101000000000000₂
• Hexadecimal: 0x7D739869D000
• Base-36: 1CW6NUP1XC

Squares and roots of 137935431782400

• 137935431782400 squared (137935431782400²) is 19026183340997124040949760000
• 137935431782400 cubed (137935431782400³) is 2624384814311544120345016644585652224000000
• The square root of 137935431782400 is 11744591.5970884233
• The cube root of 137935431782400 is 51668.4317034889

Scales and comparisons

• 137,935,431,782,400 seconds is equal to 4,385,920 years, 3 weeks, 3 days, 21 hours, 20 minutes.
• To count from 1 to 137,935,431,782,400 would take you about ten million, nine hundred sixty-four thousand, eight hundred 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 137935431782400 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137935431782400

• 137935431782400 backwards is 004287134539731
• The number of decimal digits it has is: 15
• The sum of 137935431782400's digits is 57
• More coming soon!