2138686381293120

Names of 2138686381293120

• Cardinal: 2138686381293120 can be written as Two quadrillion, one hundred thirty-eight trillion, six hundred eighty-six billion, three hundred eighty-one million, two hundred ninety-three thousand, one hundred twenty.

Scientific notation

• Scientific notation: 2.13868638129312 × 10¹⁵

Factors of 2138686381293120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 887215618

Divisors of 2138686381293120

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 81 90 93 96 108 120 124 135 144 155 160 162 180 186 192 216 240 243 248 270 279 288 310 320 324 360 372 405 432 465 480 486 496 540 558 576 620 648 720 744 810 837 864 930 960 972 992 1080 1116 1215 1240 1296 1395 1440 1488 1620 1674 1728 1860 1944 1984 2160 2232 2430 2480 2511 2592 2790 2880 2976 3240 3348 3720 3888 4185 4320 4464 4860 4960 5022 5184 5580 5952 6480 6696 7440 7533 7776 8370 8640 8928 9720 9920 10044 11160 12555 12960 13392 14880 15066 15552 16740 17856 19440 20088 22320 25110 25920 26784 29760 30132 33480 37665 38880 40176 44640 50220 53568 60264 66960 75330 77760 80352 89280 100440 120528 133920 150660 160704 200880 241056 267840 301320 401760 482112 602640 803520 1205280 2410560 887215577 1774431154 2661646731 3548862308 4436077885 5323293462 7097724616 7984940193 8872155770 10646586924 13308233655 14195449232 15969880386 17744311540 21293173848 23954820579 26616467310 27503682887 28390898464 31939760772 35488623080 39924700965 42586347696 47909641158 53232934620 55007365774 56781796928 63879521544 70977246160 71864461737 79849401930 82511048661 85172695392 95819282316 106465869240 110014731548 119774102895 127759043088 137518414435 141954492320 143728923474 159698803860 165022097322 170345390784 191638564632 212931738480 215593385211 220029463096 239548205790 247533145983 255518086176 275036828870 283908984640 287457846948 319397607720 330044194644 359322308685 383277129264 412555243305 425863476960 431186770422 440058926192 479096411580 495066291966 511036172352 550073657740 574915693896 638795215440 660088389288 718644617370 742599437949 766554258528 825110486610 851726953920 862373540844 880117852384 958192823160 990132583932 1077966926055 1100147315480 1149831387792 1237665729915 1277590430880 1320176778576 1437289234740 1485198875898 1533108517056 1650220973220 1724747081688 1760235704768 1916385646320 1980265167864 2155933852110 2200294630960 2227798313847 2299662775584 2475331459830 2555180861760 2640353557152 2874578469480 2970397751796 3300441946440 3449494163376 3712997189745 3832771292640 3960530335728 4311867704220 4400589261920 4455596627694 4599325551168 4950662919660 5280707114304 5749156938960 5940795503592 6600883892880 6683394941541 6898988326752 7425994379490 7665542585280 7921060671456 8623735408440 8801178523840 8911193255388 9901325839320 11138991569235 11498313877920 11881591007184 13201767785760 13366789883082 13797976653504 14851988758980 15842121342912 17247470816880 17822386510776 19802651678640 22277983138470 22996627755840 23763182014368 26403535571520 26733579766164 29703977517960 33416974707705 34494941633760 35644773021552 39605303357280 44555966276940 47526364028736 53467159532328 59407955035920 66833949415410 68989883267520 71289546043104 79210606714560 89111932553880 106934319064656 118815910071840 133667898830820 142579092086208 178223865107760 213868638129312 237631820143680 267335797661640 356447730215520 427737276258624 534671595323280 712895460431040 1069343190646560 2138686381293120
• Sum of all divisors σ(n): 7874726734038528
• Sum of proper divisors (its aliquot sum) s(n): 5736040352745408
• 2138686381293120 is an abundant number, because the sum of its proper divisors (5736040352745408) is greater than itself. Its abundance is 3597353971452288

Bases of 2138686381293120

• Binary: 111100110010001111110111010000010101111111001000000₂
• Hexadecimal: 0x7991FBA0AFE40
• Base-36: L23MYK6C00

Squares and roots of 2138686381293120

• 2138686381293120 squared (2138686381293120²) is 4573979437528660665083359334400
• 2138686381293120 cubed (2138686381293120³) is 9782307531357311714312583852359739094499328000
• The square root of 2138686381293120 is 46245933.6730605969
• The cube root of 2138686381293120 is 128839.5011588799

Scales and comparisons

• 2,138,686,381,293,120 seconds is equal to 68,003,611 years, 27 weeks, 5 days, 7 hours, 12 minutes.
• To count from 1 to 2,138,686,381,293,120 would take you about two hundred four million, ten thousand, eight hundred thirty-four 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 2138686381293120 cubic inches would be around 10736.6 feet tall.

Recreational maths with 2138686381293120

• 2138686381293120 backwards is 0213921836868312
• The number of decimal digits it has is: 16
• The sum of 2138686381293120's digits is 63
• More coming soon!