13380874051584000
13,380,874,051,584,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13380874051584000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3264 divisors.
13380874051584000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred sixty-four divisors.
Prime factorization of 13380874051584000:
216 × 3 × 53 × 132 × 53 × 89 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 53 × 89 × 683)See below for interesting mathematical facts about the number 13380874051584000 from the Numbermatics database.
Names of 13380874051584000
- Cardinal: 13380874051584000 can be written as Thirteen quadrillion, three hundred eighty trillion, eight hundred seventy-four billion, fifty-one million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3380874051584 × 1016
Factors of 13380874051584000
Divisors of 13380874051584000
- Number of divisors d(n): 3264
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 53 60 64 65 75 78 80 89 96 100 104 106 120 125 128 130 150 156 159 160 169 178 192 195 200 208 212 240 250 256 260 265 267 300 312 318 320 325 338 356 375 384 390 400 416 424 445 480 500 507 512 520 530 534 600 624 636 640 650 676 683 689 712 750 768 780 795 800 832 845 848 890 960 975 1000 1014 1024 1040 1060 1068 1157 1200 1248 1272 1280 1300 1325 1335 1352 1366 1378 1424 1500 1536 1560 1590 1600 1625 1664 1690 1696 1780 1920 1950 2000 2028 2048 2049 2067 2080 2120 2136 2225 2314 2400 2496 2535 2544 2560 2600 2650 2670 2704 2732 2756 2848 3000 3072 3120 3180 3200 3250 3328 3380 3392 3415 3445 3471 3560 3840 3900 3975 4000 4056 4096 4098 4134 4160 4225 4240 4272 4450 4628 4717 4800 4875 4992 5070 5088 5120 5200 5300 5340 5408 5464 5512 5696 5785 6000 6144 6240 6360 6400 6500 6625 6656 6675 6760 6784 6830 6890 6942 7120 7680 7800 7950 8000 8112 8192 8196 8268 8320 8450 8480 8544 8879 8900 8957 9256 9434 9600 9750 9984 10140 10176 10240 10245 10335 10400 10600 10680 10816 10928 11024 11125 11392 11570 12000 12288 12480 12675 12720 12800 13000 13250 13312 13350 13520 13568 13660 13780 13884 14151 14240 15041 15360 15600 15900 16000 16224 16384 16392 16536 16640 16900 16960 17075 17088 17225 17355 17758 17800 17914 18512 18868 19200 19500 19875 19968 20280 20352 20480 20490 20670 20800 21125 21200 21360 21632 21856 22048 22250 22784 23140 23585 24000 24576 24960 25350 25440 25600 26000 26500 26624 26637 26700 26871 27040 27136 27320 27560 27768 28302 28480 28925 30082 30720 31200 31800 32000 32448 32768 32784 33072 33280 33375 33800 33920 34150 34176 34450 34710 35516 35600 35828 36199 37024 37736 38400 39000 39750 39936 40560 40704 40960 40980 41340 41600 42250 42400 42720 43264 43712 44096 44395 44500 44785 45123 45568 46280 47170 48000 49152 49920 50700 50880 51200 51225 51675 52000 53000 53248 53274 53400 53742 54080 54272 54640 55120 55536 56604 56960 57850 60164 60787 61321 61440 62400 63375 63600 64000 64896 65536 65568 66144 66560 66750 67600 67840 68300 68352 68900 69420 70755 71032 71200 71656 72398 74048 75205 75472 76800 78000 79500 79872 81120 81408 81920 81960 82680 83200 84500 84800 85375 85440 86125 86528 86775 87424 88192 88790 89000 89570 90246 91136 92560 94340 96000 98304 99840 101400 101760 102400 102450 103350 104000 106000 106496 106548 106800 107484 108160 108544 108597 109280 110240 111072 113208 113920 115427 115700 117925 120328 121574 122642 122880 124800 126750 127200 128000 129792 131136 132288 133120 133185 133500 134355 135200 135680 136600 136704 137800 138840 141510 142064 142400 143312 144625 144796 148096 150410 150944 153600 156000 159000 159744 162240 162816 163840 163920 165360 166400 169000 169600 170750 170880 172250 173056 173550 174848 176384 177580 178000 179140 180492 180995 182272 182361 183963 185120 188680 192000 196608 199680 202800 203520 204800 204900 206700 208000 212000 212992 213096 213600 214968 216320 217088 217194 218560 220480 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4355753272000 4460291350528 4698340608000 4855179264000 4897830912000 4948548096000 5011563315200 5049386434560 5146490019840 5226903926400 5259777536000 5278451302400 5360927104000 5575364188160 5782573056000 6013875978240 6264454144000 6311733043200 6433112524800 6473572352000 6530441216000 6533629908000 6598064128000 6690437025792 6861986693120 6969205235200 7517344972800 7889666304000 7917676953600 8041390656000 8234384031744 8363046282240 8415644057600 8577483366400 8711506544000 8920582701056 9396681216000 9710358528000 9795661824000 9897096192000 10023126630400 10098772869120 10292980039680 10453807852800 10519555072000 10721854208000 11150728376320 11565146112000 12528908288000 12623466086400 12866225049600 13067259816000 13196128256000 13380874051584 13723973386240 13938410470400 15034689945600 15779332608000 15835353907200 16082781312000 16726092564480 16831288115200 17154966732800 17423013088000 17841165402112 18793362432000 19420717056000 19591323648000 19794192384000 20585960079360 20907615705600 21039110144000 21443708416000 22301456752640 25057816576000 25246932172800 25732450099200 26134519632000 26392256512000 26761748103168 27876820940800 30069379891200 31558665216000 32165562624000 33452185128960 34309933465600 34846026176000 35682330804224 37586724864000 39588384768000 41171920158720 41815231411200 42078220288000 42887416832000 44602913505280 50115633152000 50493864345600 51464900198400 52269039264000 53523496206336 55753641881600 63117330432000 64331125248000 66904370257920 68619866931200 69692052352000 75173449728000 79176769536000 83630462822400 84156440576000 85774833664000 89205827010560 102929800396800 104538078528000 107046992412672 111507283763200 126234660864000 128662250496000 133808740515840 139384104704000 150346899456000 167260925644800 171549667328000 178411654021120 205859600793600 209076157056000 223014567526400 252469321728000 257324500992000 267617481031680 278768209408000 334521851289600 343099334656000 418152314112000 446029135052800 514649001984000 535234962063360 557536418816000 669043702579200 836304628224000 892058270105600 1029298003968000 1115072837632000 1338087405158400 1672609256448000 2230145675264000 2676174810316800 3345218512896000 4460291350528000 6690437025792000 13380874051584000
- Sum of all divisors σ(n): 49754763159079680
- Sum of proper divisors (its aliquot sum) s(n): 36373889107495680
- 13380874051584000 is an abundant number, because the sum of its proper divisors (36373889107495680) is greater than itself. Its abundance is 22993015055911680
Bases of 13380874051584000
- Binary: 1011111000100111010101100001001010000100000000000000002
- Hexadecimal: 0x2F89D584A10000
- Base-36: 3NR4GOEDSLC
Squares and roots of 13380874051584000
- 13380874051584000 squared (133808740515840002) is 179047790384354011492909056000000
- 13380874051584000 cubed (133808740515840003) is 2395815932347453818367685300645164744704000000000
-
The
square root of 13380874051584000 is 115675728.0140652497 -
The
cube root of 13380874051584000 is 237407.7147734443
Scales and comparisons
How big is 13380874051584000?- 13,380,874,051,584,000 seconds is equal to 425,470,405 years, 4 weeks, 21 hours, 20 minutes.
-
To count from 1 to 13,380,874,051,584,000 would take you about one billion, two hundred seventy-six million, four hundred eleven thousand, two hundred fifteen 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 13380874051584000 cubic inches would be around 19784 feet tall.
Recreational maths with 13380874051584000
- 13380874051584000 backwards is 00048515047808331
- The number of decimal digits it has is: 17
- The sum of 13380874051584000's digits is 57
- More coming soon!
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"Number 13380874051584000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13380874051584000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13380874051584000/
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The information we have on file for 13380874051584000 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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