138006488448000000

Names of 138006488448000000

• Cardinal: 138006488448000000 can be written as One hundred thirty-eight quadrillion, six trillion, four hundred eighty-eight billion, four hundred forty-eight million.

Scientific notation

• Scientific notation: 1.38006488448 × 10¹⁷

Factors of 138006488448000000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 60

Divisors of 138006488448000000

• Number of divisors d(n): 6468
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 31 32 36 38 40 45 48 50 54 57 60 62 64 72 75 76 80 81 90 93 95 96 100 108 114 120 124 125 128 135 144 150 152 155 160 162 171 180 186 190 192 200 216 225 228 240 243 248 250 256 270 279 285 288 300 304 310 320 324 342 360 372 375 380 384 400 405 432 450 456 465 475 480 486 496 500 512 513 540 558 570 576 589 600 608 620 625 640 648 675 684 720 729 744 750 760 768 775 800 810 837 855 864 900 912 930 950 960 961 972 992 1000 1024 1026 1080 1116 1125 1140 1152 1178 1200 1215 1216 1240 1250 1280 1296 1350 1368 1395 1425 1440 1458 1488 1500 1520 1536 1539 1550 1600 1620 1674 1710 1728 1767 1800 1824 1860 1875 1900 1920 1922 1944 1984 2000 2025 2048 2052 2160 2187 2232 2250 2280 2304 2325 2356 2375 2400 2430 2432 2480 2500 2511 2560 2565 2592 2700 2736 2790 2850 2880 2883 2916 2945 2976 3000 3040 3072 3078 3100 3125 3200 3240 3348 3375 3420 3456 3534 3600 3645 3648 3720 3750 3800 3840 3844 3875 3888 3968 4000 4050 4096 4104 4185 4275 4320 4374 4464 4500 4560 4608 4617 4650 4712 4750 4800 4805 4860 4864 4960 5000 5022 5120 5130 5184 5301 5400 5472 5580 5625 5700 5760 5766 5832 5890 5952 6000 6075 6080 6144 6156 6200 6250 6400 6480 6561 6696 6750 6840 6912 6975 7068 7125 7200 7290 7296 7440 7500 7533 7600 7680 7688 7695 7750 7776 7936 8000 8100 8192 8208 8370 8550 8640 8649 8748 8835 8928 9000 9120 9216 9234 9300 9375 9424 9500 9600 9610 9720 9728 9920 10000 10044 10125 10240 10260 10368 10602 10800 10935 10944 11160 11250 11400 11520 11532 11625 11664 11780 11875 11904 12000 12150 12160 12288 12312 12400 12500 12555 12800 12825 12960 13122 13392 13500 13680 13824 13851 13950 14136 14250 14400 14415 14580 14592 14725 14880 15000 15066 15200 15360 15376 15390 15500 15552 15625 15872 15903 16000 16200 16416 16740 16875 17100 17280 17298 17496 17670 17856 18000 18225 18240 18259 18432 18468 18600 18750 18848 19000 19200 19220 19375 19440 19456 19683 19840 20000 20088 20250 20480 20520 20736 20925 21204 21375 21600 21870 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453968712000000 460021628160000 479189196000000 484233292800000 494646912000000 511135142400000 539087845500000 552025953792000 556477776000000 567927936000000 575027035200000 605291616000000 613362170880000 638918928000000 690032442240000 718783794000000 726349939200000 741970368000000 766702713600000 807055488000000 851891904000000 862540552800000 890364441600000 907937424000000 920043256320000 958378392000000 1022270284800000 1078175691000000 1104051907584000 1112955552000000 1150054070400000 1210583232000000 1277837856000000 1380064884480000 1437567588000000 1452699878400000 1483940736000000 1533405427200000 1703783808000000 1725081105600000 1815874848000000 1840086512640000 1916756784000000 2156351382000000 2225911104000000 2300108140800000 2421166464000000 2555675712000000 2760129768960000 2875135176000000 3066810854400000 3450162211200000 3631749696000000 3833513568000000 4312702764000000 4451822208000000 4600216281600000 5111351424000000 5520259537920000 5750270352000000 6900324422400000 7263499392000000 7667027136000000 8625405528000000 9200432563200000 11500540704000000 13800648844800000 15334054272000000 17250811056000000 23001081408000000 27601297689600000 34501622112000000 46002162816000000 69003244224000000 138006488448000000
• Sum of all divisors σ(n): 562857568294577940
• Sum of proper divisors (its aliquot sum) s(n): 424851079846577940
• 138006488448000000 is an abundant number, because the sum of its proper divisors (424851079846577940) is greater than itself. Its abundance is 286844591398577940

Bases of 138006488448000000

• Binary: 111101010010011000010101110001000101001000110000000000000₂
• Hexadecimal: 0x1EA4C2B88A46000
• Base-36: 11QV7TK00000

Squares and roots of 138006488448000000

• 138006488448000000 squared (138006488448000000²) is 19045790853747957448704000000000000
• 138006488448000000 cubed (138006488448000000³) is 2628442715440791547148164128571392000000000000000000
• The square root of 138006488448000000 is 371492245.4749223969
• The cube root of 138006488448000000 is 516773.0241489151

Scales and comparisons

• 138,006,488,448,000,000 seconds is equal to 4,388,179,450 years, 28 weeks, 4 days.
• To count from 1 to 138,006,488,448,000,000 would take you about thirteen billion, one hundred sixty-four million, five hundred thirty-eight thousand, three hundred fifty-one 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 138006488448000000 cubic inches would be around 43064.4 feet tall.

Recreational maths with 138006488448000000

• 138006488448000000 backwards is 000000844884600831
• 138006488448000000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138006488448000000's digits is 54
• More coming soon!