104041310822400
104,041,310,822,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 104041310822400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
104041310822400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 104041310822400:
213 × 3 × 52 × 73 × 17 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 17 × 113 × 257)See below for interesting mathematical facts about the number 104041310822400 from the Numbermatics database.
Names of 104041310822400
- Cardinal: 104041310822400 can be written as One hundred four trillion, forty-one billion, three hundred ten million, eight hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.040413108224 × 1014
Factors of 104041310822400
Divisors of 104041310822400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 56 60 64 68 70 75 80 84 85 96 98 100 102 105 112 113 119 120 128 136 140 147 150 160 168 170 175 192 196 200 204 210 224 226 238 240 245 255 256 257 272 280 294 300 320 336 339 340 343 350 357 384 392 400 408 420 425 448 452 476 480 490 510 512 514 525 544 560 565 588 595 600 640 672 678 680 686 700 714 735 768 771 784 791 800 816 833 840 850 896 904 952 960 980 1020 1024 1028 1029 1050 1088 1120 1130 1176 1190 1200 1225 1275 1280 1285 1344 1356 1360 1372 1400 1428 1470 1536 1542 1568 1582 1600 1632 1666 1680 1695 1700 1715 1785 1792 1799 1808 1904 1920 1921 1960 2040 2048 2056 2058 2100 2176 2240 2260 2352 2373 2380 2400 2450 2499 2550 2560 2570 2688 2712 2720 2744 2800 2825 2856 2940 2975 3072 3084 3136 3164 3200 3264 3332 3360 3390 3400 3430 3570 3584 3598 3616 3675 3808 3840 3842 3855 3920 3955 4080 4096 4112 4116 4165 4200 4352 4369 4480 4520 4704 4746 4760 4800 4900 4998 5100 5120 5140 5145 5376 5397 5424 5440 5488 5537 5600 5650 5712 5763 5831 5880 5950 6144 6168 6272 6328 6400 6425 6528 6664 6720 6780 6800 6860 7140 7168 7196 7232 7350 7616 7680 7684 7710 7840 7910 8160 8192 8224 8232 8330 8400 8475 8575 8704 8738 8925 8960 8995 9040 9408 9492 9520 9600 9605 9800 9996 10200 10240 10280 10290 10752 10794 10848 10880 10976 11074 11200 11300 11424 11526 11662 11760 11865 11900 12288 12336 12495 12544 12593 12656 12800 12850 13056 13107 13328 13440 13447 13560 13600 13720 14280 14336 14392 14464 14700 15232 15360 15368 15420 15680 15820 16320 16448 16464 16611 16660 16800 16950 17150 17408 17476 17493 17850 17920 17990 18080 18816 18984 19040 19200 19210 19275 19600 19775 19992 20400 20480 20560 20580 20825 21504 21588 21696 21760 21845 21952 22148 22400 22600 22848 23052 23324 23520 23730 23800 24576 24672 24990 25088 25186 25312 25600 25700 25725 26112 26214 26656 26880 26894 26985 27120 27200 27440 27685 28560 28672 28784 28815 28928 29041 29155 29400 30464 30583 30720 30736 30840 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424658411520 433505461760 437148364800 460359782400 464470137600 495434813440 510006425600 520206554112 530823014400 541881827200 594521776128 612007710720 619293516800 650258192640 693608738816 707764019200 743152220160 765009638400 812822740800 867010923520 874296729600 920719564800 928940275200 990869626880 1020012851200 1040413108224 1061646028800 1083763654400 1224015421440 1238587033600 1300516385280 1387217477632 1486304440320 1530019276800 1625645481600 1734021847040 1857880550400 2040025702400 2080826216448 2123292057600 2167527308800 2477174067200 2601032770560 2972608880640 3060038553600 3251290963200 3468043694080 3715761100800 4161652432896 4335054617600 4954348134400 5202065541120 6120077107200 6502581926400 6936087388160 7431522201600 8670109235200 10404131082240 13005163852800 14863044403200 17340218470400 20808262164480 26010327705600 34680436940800 52020655411200 104041310822400
- Sum of all divisors σ(n): 430201747468800
- Sum of proper divisors (its aliquot sum) s(n): 326160436646400
- 104041310822400 is an abundant number, because the sum of its proper divisors (326160436646400) is greater than itself. Its abundance is 222119125824000
Bases of 104041310822400
- Binary: 101111010100000000000010101111110100000000000002
- Hexadecimal: 0x5EA0015FA000
- Base-36: 10VNX272TC
Squares and roots of 104041310822400
- 104041310822400 squared (1040413108224002) is 10824594357643247364341760000
- 104041310822400 cubed (1040413108224003) is 1126204986089958368165970630540263424000000
-
The
square root of 104041310822400 is 10200064.2557976075 -
The
cube root of 104041310822400 is 47032.9195692321
Scales and comparisons
How big is 104041310822400?- 104,041,310,822,400 seconds is equal to 3,308,191 years, 44 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 104,041,310,822,400 would take you about eight million, two hundred seventy thousand, four hundred seventy-nine 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 104041310822400 cubic inches would be around 3919.4 feet tall.
Recreational maths with 104041310822400
- 104041310822400 backwards is 004228013140401
- 104041310822400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 104041310822400's digits is 30
- More coming soon!
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"Number 104041310822400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 104041310822400 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/104041310822400/
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The information we have on file for 104041310822400 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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