138521386137600000

Names of 138521386137600000

• Cardinal: 138521386137600000 can be written as One hundred thirty-eight quadrillion, five hundred twenty-one trillion, three hundred eighty-six billion, one hundred thirty-seven million, six hundred thousand.

Scientific notation

• Scientific notation: 1.385213861376 × 10¹⁷

Factors of 138521386137600000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 932

Divisors of 138521386137600000

• Number of divisors d(n): 7200
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 41 45 48 50 53 54 57 60 64 72 75 76 80 81 82 90 95 96 100 106 108 114 120 123 125 128 135 144 150 152 159 160 162 164 171 180 190 192 200 205 212 216 225 228 240 246 250 256 265 270 285 288 300 304 318 320 324 328 342 360 369 375 380 384 400 405 410 424 432 450 456 475 477 480 492 500 512 513 530 540 570 576 600 608 615 625 636 640 648 656 675 684 720 738 750 760 768 779 795 800 809 810 820 848 855 864 900 912 950 954 960 984 1000 1007 1024 1025 1026 1060 1080 1107 1125 1140 1152 1200 1216 1230 1250 1272 1280 1296 1312 1325 1350 1368 1425 1431 1440 1476 1500 1520 1536 1539 1558 1590 1600 1618 1620 1640 1696 1710 1728 1800 1824 1845 1875 1900 1908 1920 1968 2000 2014 2025 2048 2050 2052 2120 2160 2173 2214 2250 2280 2304 2337 2375 2385 2400 2427 2432 2460 2500 2544 2560 2565 2592 2624 2650 2700 2736 2850 2862 2880 2952 3000 3021 3040 3072 3075 3078 3116 3125 3180 3200 3236 3240 3280 3321 3375 3392 3420 3456 3600 3648 3690 3750 3800 3816 3840 3895 3936 3975 4000 4028 4045 4050 4096 4100 4104 4240 4275 4293 4320 4346 4428 4500 4560 4608 4674 4750 4770 4800 4854 4864 4920 5000 5035 5088 5120 5125 5130 5184 5248 5300 5400 5472 5535 5625 5700 5724 5760 5904 6000 6042 6080 6144 6150 6156 6232 6250 6360 6400 6472 6480 6519 6560 6625 6642 6750 6784 6840 6912 7011 7125 7155 7200 7281 7296 7380 7500 7600 7632 7680 7695 7790 7872 7950 8000 8056 8090 8100 8192 8200 8208 8480 8550 8586 8640 8692 8856 9000 9063 9120 9216 9225 9348 9375 9500 9540 9600 9708 9728 9840 10000 10070 10125 10176 10240 10250 10260 10368 10496 10600 10800 10865 10944 11070 11250 11400 11448 11520 11685 11808 11875 11925 12000 12084 12135 12160 12288 12300 12312 12464 12500 12720 12800 12825 12944 12960 13038 13120 13250 13284 13500 13568 13680 13824 14022 14250 14310 14400 14562 14592 14760 15000 15105 15200 15264 15360 15371 15375 15390 15580 15744 15900 16000 16112 16180 16200 16384 16400 16416 16605 16875 16960 17100 17172 17280 17384 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• Sum of all divisors σ(n): 569000116314907200
• Sum of proper divisors (its aliquot sum) s(n): 430478730177307200
• 138521386137600000 is an abundant number, because the sum of its proper divisors (430478730177307200) is greater than itself. Its abundance is 291957344039707200

Bases of 138521386137600000

• Binary: 111101100001000000111011101111110100001101100000000000000₂
• Hexadecimal: 0x1EC20777E86C000
• Base-36: 11VXQEAE4G00

Squares and roots of 138521386137600000

• 138521386137600000 squared (138521386137600000²) is 19188174417482081446133760000000000
• 138521386137600000 cubed (138521386137600000³) is 2657972517759653351928867183579365376000000000000000
• The square root of 138521386137600000 is 372184612.9780219703
• The cube root of 138521386137600000 is 517414.9142632831

Scales and comparisons

• 138,521,386,137,600,000 seconds is equal to 4,404,551,604 years, 20 weeks, 4 days.
• To count from 1 to 138,521,386,137,600,000 would take you about thirteen billion, two hundred thirteen million, six hundred fifty-four thousand, eight hundred thirteen 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 138521386137600000 cubic inches would be around 43117.9 feet tall.

Recreational maths with 138521386137600000

• 138521386137600000 backwards is 000006731683125831
• 138521386137600000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138521386137600000's digits is 54
• More coming soon!