138133472256000
138,133,472,256,000 is an even composite number composed of seven prime numbers multiplied together.
138133472256000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, three hundred seventy-six divisors.
Prime factorization of 138133472256000:
213 × 33 × 53 × 132 × 17 × 37 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 37 × 47)See below for interesting mathematical facts about the number 138133472256000 from the Numbermatics database.
Names of 138133472256000
- Cardinal: 138133472256000 can be written as One hundred thirty-eight trillion, one hundred thirty-three billion, four hundred seventy-two million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38133472256 × 1014
Factors of 138133472256000
Divisors of 138133472256000
- Number of divisors d(n): 5376
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 37 39 40 45 47 48 50 51 52 54 60 64 65 68 72 74 75 78 80 85 90 94 96 100 102 104 108 111 117 120 125 128 130 135 136 141 144 148 150 153 156 160 169 170 180 185 188 192 195 200 204 208 216 221 222 225 234 235 240 250 255 256 260 270 272 282 288 296 300 306 312 320 325 333 338 340 351 360 370 375 376 384 390 400 408 416 423 425 432 442 444 450 459 468 470 480 481 500 507 510 512 520 540 544 555 564 576 585 592 600 611 612 624 629 640 650 663 666 675 676 680 702 705 720 740 750 752 765 768 780 799 800 816 832 845 846 850 864 884 888 900 918 925 936 940 960 962 975 999 1000 1014 1020 1024 1040 1080 1088 1105 1110 1125 1128 1152 1170 1175 1184 1200 1222 1224 1248 1258 1269 1275 1280 1300 1326 1332 1350 1352 1360 1404 1410 1440 1443 1480 1500 1504 1521 1530 1536 1560 1598 1600 1625 1632 1664 1665 1690 1692 1700 1728 1739 1755 1768 1776 1800 1833 1836 1850 1872 1880 1887 1920 1924 1950 1989 1998 2000 2028 2040 2048 2080 2115 2125 2160 2176 2210 2220 2250 2256 2295 2304 2340 2350 2368 2397 2400 2405 2444 2448 2496 2516 2535 2538 2550 2560 2600 2652 2664 2700 2704 2720 2775 2808 2820 2873 2880 2886 2925 2960 3000 3008 3042 3055 3060 3072 3120 3145 3196 3200 3250 3264 3315 3328 3330 3375 3380 3384 3400 3456 3478 3510 3525 3536 3552 3600 3666 3672 3700 3744 3760 3774 3825 3840 3848 3900 3978 3995 3996 4000 4056 4080 4096 4160 4225 4230 4250 4320 4329 4352 4420 4440 4500 4512 4563 4590 4608 4625 4680 4700 4736 4794 4800 4810 4875 4888 4896 4992 4995 5032 5070 5076 5100 5120 5200 5217 5304 5328 5400 5408 5440 5499 5525 5550 5616 5640 5661 5746 5760 5772 5850 5875 5920 5967 6000 6016 6084 6110 6120 6144 6240 6253 6290 6345 6375 6392 6400 6500 6528 6630 6656 6660 6750 6760 6768 6800 6912 6956 7020 7050 7072 7104 7191 7200 7215 7332 7344 7400 7488 7520 7548 7605 7650 7680 7696 7800 7943 7956 7990 7992 8000 8112 8160 8177 8192 8320 8325 8450 8460 8500 8619 8640 8658 8695 8704 8775 8840 8880 9000 9024 9126 9165 9180 9216 9250 9360 9400 9435 9472 9588 9600 9620 9750 9776 9792 9945 9984 9990 10064 10140 10152 10200 10240 10387 10400 10434 10575 10608 10656 10800 10816 10880 10998 11050 11100 11232 11280 11322 11475 11492 11520 11544 11700 11750 11840 11934 11985 12000 12025 12032 12168 12220 12240 12288 12480 12506 12580 12675 12690 12750 12784 12800 12987 13000 13056 13260 13312 13320 13500 13520 13536 13600 13824 13875 13912 14040 14100 14144 14208 14365 14382 14400 14430 14625 14664 14688 14800 14976 15040 15096 15210 15275 15300 15360 15392 15600 15651 15725 15886 15912 15980 15984 16000 16224 16320 16354 16497 16575 16640 16650 16900 16920 16983 17000 17238 17280 17316 17390 17408 17550 17625 17680 17760 18000 18048 18252 18330 18360 18432 18500 18720 18759 18800 18870 18944 19125 19176 19200 19240 19500 19552 19584 19890 19968 19975 19980 20128 20280 20304 20400 20480 20774 20800 20868 21125 21150 21216 21312 21573 21600 21632 21645 21760 21996 22100 22200 22464 22560 22607 22644 22815 22950 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13813347225600 15348163584000 17266684032000 23022245376000 27626694451200 34533368064000 46044490752000 69066736128000 138133472256000
- Sum of all divisors σ(n): 614223530219520
- Sum of proper divisors (its aliquot sum) s(n): 476090057963520
- 138133472256000 is an abundant number, because the sum of its proper divisors (476090057963520) is greater than itself. Its abundance is 337956585707520
Bases of 138133472256000
- Binary: 111110110100001101101001000101110100000000000002
- Hexadecimal: 0x7DA1B48BA000
- Base-36: 1CYPN2VPC0
Squares and roots of 138133472256000
- 138133472256000 squared (1381334722560002) is 19080856157499121729536000000
- 138133472256000 cubed (1381334722560003) is 2635704914652631697771227791753216000000000
-
The
square root of 138133472256000 is 11753019.7079729259 -
The
cube root of 138133472256000 is 51693.1474887115
Scales and comparisons
How big is 138133472256000?- 138,133,472,256,000 seconds is equal to 4,392,217 years, 7 weeks, 3 days.
-
To count from 1 to 138,133,472,256,000 would take you about ten million, nine hundred eighty thousand, five hundred forty-two 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 138133472256000 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138133472256000
- 138133472256000 backwards is 000652274331831
- 138133472256000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138133472256000's digits is 45
- More coming soon!
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The information we have on file for 138133472256000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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