13375584768000
13,375,584,768,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13375584768000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2496 divisors.
13375584768000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 13375584768000:
212 × 3 × 53 × 7 × 132 × 17 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 17 × 433)See below for interesting mathematical facts about the number 13375584768000 from the Numbermatics database.
Names of 13375584768000
- Cardinal: 13375584768000 can be written as Thirteen trillion, three hundred seventy-five billion, five hundred eighty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3375584768 × 1013
Factors of 13375584768000
Divisors of 13375584768000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 30 32 34 35 39 40 42 48 50 51 52 56 60 64 65 68 70 75 78 80 84 85 91 96 100 102 104 105 112 119 120 125 128 130 136 140 150 156 160 168 169 170 175 182 192 195 200 204 208 210 221 224 238 240 250 255 256 260 272 273 280 300 312 320 325 336 338 340 350 357 364 375 384 390 400 408 416 420 425 433 442 448 455 476 480 500 507 510 512 520 525 544 546 560 595 600 624 640 650 663 672 676 680 700 714 728 750 768 780 800 816 832 840 845 850 866 875 884 896 910 952 960 975 1000 1014 1020 1024 1040 1050 1088 1092 1105 1120 1183 1190 1200 1248 1275 1280 1299 1300 1326 1344 1352 1360 1365 1400 1428 1456 1500 1536 1547 1560 1600 1625 1632 1664 1680 1690 1700 1732 1750 1768 1785 1792 1820 1904 1920 1950 2000 2028 2040 2048 2080 2100 2125 2165 2176 2184 2210 2240 2275 2366 2380 2400 2496 2535 2550 2560 2598 2600 2625 2652 2688 2704 2720 2730 2800 2856 2873 2912 2975 3000 3031 3072 3094 3120 3200 3250 3264 3315 3328 3360 3380 3400 3464 3500 3536 3549 3570 3584 3640 3808 3840 3900 4000 4056 4080 4096 4160 4200 4225 4250 4330 4352 4368 4420 4480 4550 4641 4732 4760 4800 4875 4992 5070 5100 5120 5196 5200 5250 5304 5376 5408 5440 5460 5525 5600 5629 5712 5746 5824 5915 5950 6000 6062 6144 6188 6240 6375 6400 6495 6500 6528 6630 6656 6720 6760 6800 6825 6928 7000 7072 7098 7140 7168 7280 7361 7616 7680 7735 7800 8000 8112 8160 8320 8400 8450 8500 8619 8660 8704 8736 8840 8925 8960 9093 9100 9282 9464 9520 9600 9750 9984 10140 10200 10240 10392 10400 10500 10608 10752 10816 10825 10880 10920 11050 11200 11258 11375 11424 11492 11648 11830 11900 12000 12124 12288 12376 12480 12675 12750 12800 12990 13000 13056 13260 13312 13440 13520 13600 13650 13856 14000 14144 14196 14280 14336 14365 14560 14722 14875 15155 15232 15360 15470 15600 16000 16224 16320 16575 16640 16800 16887 16900 17000 17238 17320 17408 17472 17680 17745 17850 17920 18186 18200 18564 18928 19040 19200 19500 19968 20111 20280 20400 20480 20784 20800 21000 21125 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37466624000 38215956480 39339955200 39572736000 39808288000 41155645440 41798702400 42870464000 44585282560 47769945600 48994816000 49174944000 51444556800 52248378000 52453273600 53502339072 55731603200 56199936000 59712432000 60523008000 63693260800 64305696000 65566592000 66877923840 68592742400 69664504000 73492224000 76431912960 78679910400 79145472000 79616576000 83597404800 85740928000 89170565120 95539891200 98349888000 102889113600 104496756000 107004678144 111463206400 112399872000 119424864000 127386521600 128611392000 131133184000 133755847680 139329008000 146984448000 157359820800 159233152000 167194809600 171481856000 178341130240 191079782400 196699776000 205778227200 208993512000 222926412800 238849728000 257222784000 262266368000 267511695360 278658016000 318466304000 334389619200 342963712000 382159564800 393399552000 417987024000 445852825600 477699456000 514445568000 535023390720 557316032000 636932608000 668779238400 786799104000 835974048000 891705651200 955398912000 1028891136000 1114632064000 1337558476800 1671948096000 1910797824000 2229264128000 2675116953600 3343896192000 4458528256000 6687792384000 13375584768000
- Sum of all divisors σ(n): 58455425613312
- Sum of proper divisors (its aliquot sum) s(n): 45079840845312
- 13375584768000 is an abundant number, because the sum of its proper divisors (45079840845312) is greater than itself. Its abundance is 31704256077312
Bases of 13375584768000
- Binary: 110000101010001111101111101010010000000000002
- Hexadecimal: 0xC2A3EFA9000
- Base-36: 4QONPTN9C
Squares and roots of 13375584768000
- 13375584768000 squared (133755847680002) is 178906267885953613824000000
- 13375584768000 cubed (133755847680003) is 2392975951635088718218848632832000000000
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The
square root of 13375584768000 is 3657264.6565431931 -
The
cube root of 13375584768000 is 23737.6429268077
Scales and comparisons
How big is 13375584768000?- 13,375,584,768,000 seconds is equal to 425,302 years, 11 weeks, 3 days, 21 hours, 20 minutes.
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To count from 1 to 13,375,584,768,000 would take you about one million, sixty-three thousand, two hundred fifty-five 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 13375584768000 cubic inches would be around 1978.1 feet tall.
Recreational maths with 13375584768000
- 13375584768000 backwards is 00086748557331
- The number of decimal digits it has is: 14
- The sum of 13375584768000's digits is 57
- More coming soon!
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The information we have on file for 13375584768000 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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