10438123742400

Names of 10438123742400

• Cardinal: 10438123742400 can be written as Ten trillion, four hundred thirty-eight billion, one hundred twenty-three million, seven hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.04381237424 × 10¹³

Factors of 10438123742400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 416

Divisors of 10438123742400

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 64 75 80 94 96 100 120 141 150 160 188 192 200 235 240 282 300 320 359 376 400 470 480 564 600 705 718 752 800 940 960 1077 1128 1175 1200 1410 1436 1504 1600 1795 1880 2154 2256 2350 2400 2820 2872 3008 3525 3590 3760 4308 4512 4700 4800 5385 5640 5744 7050 7180 7520 8616 8975 9024 9400 10770 11280 11488 14100 14360 15040 16873 17232 17950 18800 21540 22560 22976 26925 28200 28720 33746 34464 35900 37600 43080 45120 50619 53850 56400 57440 67492 68928 71800 75200 84365 86160 101238 107700 112800 114880 128881 134984 143600 168730 172320 202476 215400 225600 253095 257762 269968 287200 337460 344640 386643 404952 421825 430800 506190 515524 539936 574400 644405 674920 773286 809904 843650 861600 1012380 1031048 1079872 1265475 1288810 1349840 1546572 1619808 1687300 1723200 1933215 2024760 2062096 2530950 2577620 2699680 3093144 3222025 3239616 3374600 3866430 4049520 4124192 5061900 5155240 5399360 6057407 6186288 6444050 6749200 7732860 8099040 8248384 9666075 10123800 10310480 12114814 12372576 12888100 13498400 15465720 16198080 18172221 19332150 20247600 20620960 24229628 24745152 25776200 26996800 30287035 30931440 36344442 38664300 40495200 41241920 46268279 48459256 51552400 60574070 61862880 72688884 77328600 80990400 90861105 92536558 96918512 103104800 121148140 123725760 138804837 145377768 151435175 154657200 181722210 185073116 193837024 206209600 231341395 242296280 277609674 290755536 302870350 309314400 363444420 370146232 387674048 454305525 462682790 484592560 555219348 581511072 605740700 618628800 694024185 726888840 740292464 908611050 925365580 969185120 1110438696 1156706975 1163022144 1211481400 1388048370 1453777680 1480584928 1817222100 1850731160 1938370240 2174609113 2220877392 2313413950 2422962800 2776096740 2907555360 2961169856 3470120925 3634444200 3701462320 4349218226 4441754784 4626827900 4845925600 5552193480 5815110720 6523827339 6940241850 7268888400 7402924640 8698436452 8883509568 9253655800 9691851200 10873045565 11104386960 13047654678 13880483700 14537776800 14805849280 17396872904 18507311600 21746091130 22208773920 26095309356 27760967400 29075553600 32619136695 34793745808 37014623200 43492182260 44417547840 52190618712 54365227825 55521934800 65238273390 69587491616 74029246400 86984364520 104381237424 108730455650 111043869600 130476546780 139174983232 163095683475 173968729040 208762474848 217460911300 222087739200 260953093560 326191366950 347937458080 417524949696 434921822600 521906187120 652382733900 695874916160 869843645200 1043812374240 1304765467800 1739687290400 2087624748480 2609530935600 3479374580800 5219061871200 10438123742400
• Sum of all divisors σ(n): 35072070958080
• Sum of proper divisors (its aliquot sum) s(n): 24633947215680
• 10438123742400 is an abundant number, because the sum of its proper divisors (24633947215680) is greater than itself. Its abundance is 14195823473280

Bases of 10438123742400

• Binary: 10010111111001010000101010000110010011000000₂
• Hexadecimal: 0x97E50A864C0
• Base-36: 3P77HDDXC

Squares and roots of 10438123742400

• 10438123742400 squared (10438123742400²) is 108954427261654581557760000
• 10438123742400 cubed (10438123742400³) is 1137279794039470504865791832961024000000
• The square root of 10438123742400 is 3230808.5276599107
• The cube root of 10438123742400 is 21854.4969195617

Scales and comparisons

• 10,438,123,742,400 seconds is equal to 331,900 years, 2 weeks, 3 days, 9 hours, 20 minutes.
• To count from 1 to 10,438,123,742,400 would take you about eight hundred twenty-nine 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 10438123742400 cubic inches would be around 1821.2 feet tall.

Recreational maths with 10438123742400

• 10438123742400 backwards is 00424732183401
• The number of decimal digits it has is: 14
• The sum of 10438123742400's digits is 39
• More coming soon!