131397795020800
131,397,795,020,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131397795020800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
131397795020800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 131397795020800:
215 × 52 × 7 × 11 × 23 × 41 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 23 × 41 × 47 × 47)See below for interesting mathematical facts about the number 131397795020800 from the Numbermatics database.
Names of 131397795020800
- Cardinal: 131397795020800 can be written as One hundred thirty-one trillion, three hundred ninety-seven billion, seven hundred ninety-five million, twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.313977950208 × 1014
Factors of 131397795020800
Divisors of 131397795020800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 41 44 46 47 50 55 56 64 70 77 80 82 88 92 94 100 110 112 115 128 140 154 160 161 164 175 176 184 188 200 205 220 224 230 235 253 256 275 280 287 308 320 322 328 329 350 352 368 376 385 400 410 440 448 451 460 470 506 512 517 550 560 574 575 616 640 644 656 658 700 704 736 752 770 800 805 820 880 896 902 920 940 943 1012 1024 1025 1034 1081 1100 1120 1148 1150 1175 1232 1265 1280 1288 1312 1316 1400 1408 1435 1472 1504 1540 1600 1610 1640 1645 1760 1771 1792 1804 1840 1880 1886 1925 1927 2024 2048 2050 2068 2162 2200 2209 2240 2255 2296 2300 2350 2464 2530 2560 2576 2585 2624 2632 2800 2816 2870 2944 3008 3080 3157 3200 3220 3280 3290 3520 3542 3584 3608 3619 3680 3760 3772 3850 3854 4025 4048 4096 4100 4136 4324 4400 4418 4480 4510 4592 4600 4700 4715 4928 5060 5120 5152 5170 5248 5264 5405 5600 5632 5740 5888 6016 6160 6314 6325 6400 6440 6560 6580 6601 7040 7084 7168 7175 7216 7238 7360 7520 7544 7567 7700 7708 8050 8096 8192 8200 8225 8272 8648 8800 8836 8855 8960 9020 9184 9200 9400 9430 9635 9856 10120 10240 10304 10340 10373 10496 10528 10810 11045 11200 11264 11275 11480 11776 11891 12032 12320 12628 12650 12800 12880 12925 13120 13160 13202 13489 14080 14168 14336 14350 14432 14476 14720 15040 15088 15134 15400 15416 15463 15785 16100 16192 16384 16400 16450 16544 17296 17600 17672 17710 17920 18040 18095 18368 18400 18800 18860 19270 19712 20240 20480 20608 20680 20746 20992 21056 21197 21620 22090 22400 22528 22550 22960 23552 23575 23782 24064 24299 24640 25256 25300 25600 25760 25850 26240 26320 26404 26978 27025 28160 28336 28672 28700 28864 28952 29440 30080 30176 30268 30800 30832 30926 31570 32200 32384 32768 32800 32900 33005 33088 34592 35200 35344 35420 35840 36080 36190 36736 36800 37600 37720 37835 38540 39424 40480 40960 41216 41360 41492 41984 42112 42394 43240 44180 44275 44321 44800 45056 45100 45920 47104 47150 47564 48128 48175 48598 49280 50512 50600 50807 51200 51520 51700 51865 52480 52640 52808 53956 54050 55225 56320 56672 57344 57400 57728 57904 58880 59455 60160 60352 60536 61600 61664 61852 63140 64400 64768 65600 65800 66010 66176 67445 69184 70400 70688 70840 71680 72160 72380 72611 73472 73600 75200 75440 75670 77080 77315 78848 78925 80960 81920 82432 82720 82984 83237 83968 84224 84788 86480 88360 88550 88642 89600 90112 90200 90475 90569 91840 94208 94300 95128 96256 96350 97196 98560 101024 101200 101614 102400 103040 103400 103730 104960 105280 105616 105985 107912 108100 110450 112640 113344 114688 114800 115456 115808 117760 118910 120320 120704 121072 121495 123200 123328 123704 126280 128800 129536 131200 131600 132020 132352 134890 138368 140800 141376 141680 143360 144320 144760 145222 146944 147200 148379 150400 150880 151340 154160 154630 157696 157850 161920 163840 164864 165025 165440 165968 166474 167936 168448 169576 170093 172960 176720 177100 177284 179200 180224 180400 180950 181138 183680 188416 188600 189175 190256 192512 192700 194392 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18313281536 18331165600 18548531200 18664459520 19905740800 19969269760 20030151680 20403384320 20530905472 20774354944 20810547200 21330810880 21841388800 22316201600 22891601920 23330574400 23463891968 24310415360 24961587200 25037689600 25415434240 25504230400 25663631840 25967943680 26663513600 27868037120 27956977664 28564738048 28614502400 29134766080 29329864960 29741465600 29863135232 30388019200 31769292800 32048242688 32079539800 32459929600 32645414912 34093875200 34129297408 34835046400 34946222080 35705922560 36307763200 36418457600 36662331200 37097062400 37328919040 39938539520 40060303360 40806768640 41061810944 41621094400 42661621760 43682777600 44632403200 45783203840 46661148800 46927783936 49923174400 50075379200 50830868480 51008460800 51327263680 51935887360 53327027200 55913955328 57129476096 57229004800 58269532160 58659729920 59482931200 59726270464 60776038400 63538585600 64096485376 64159079600 64919859200 68187750400 68258594816 69670092800 69892444160 71411845120 72836915200 73324662400 74194124800 74657838080 79877079040 80120606720 81613537280 82123621888 85323243520 87365555200 89264806400 91566407680 93322297600 93855567872 99846348800 100150758400 102016921600 102654527360 103871774720 106654054400 111827910656 114258952192 114458009600 117319459840 119452540928 121552076800 127077171200 128192970752 128318159200 129839718400 139340185600 139784888320 142823690240 145673830400 146649324800 149315676160 160241213440 163227074560 164247243776 170646487040 174731110400 178529612800 186644595200 187711135744 199692697600 200301516800 204033843200 205309054720 213308108800 228517904384 228916019200 234638919680 238905081856 254154342400 256636318400 259679436800 279569776640 285647380480 291347660800 293298649600 298631352320 320482426880 328494487552 341292974080 349462220800 357059225600 373289190400 375422271488 399385395200 400603033600 408067686400 410618109440 426616217600 457832038400 469277839360 477810163712 513272636800 519358873600 559139553280 571294760960 586597299200 597262704640 640964853760 656988975104 698924441600 714118451200 746578380800 750844542976 801206067200 816135372800 821236218880 853232435200 938555678720 1026545273600 1142589521920 1173194598400 1194525409280 1313977950208 1397848883200 1428236902400 1493156761600 1602412134400 1642472437760 1706464870400 1877111357440 2053090547200 2346389196800 2389050818560 2627955900416 2795697766400 2856473804800 2986313523200 3204824268800 3284944875520 3754222714880 4106181094400 4692778393600 5255911800832 5712947609600 5972627046400 6569889751040 8212362188800 9385556787200 11945254092800 13139779502080 16424724377600 18771113574400 26279559004160 32849448755200 65698897510400 131397795020800
- Sum of all divisors σ(n): 443709085800960
- Sum of proper divisors (its aliquot sum) s(n): 312311290780160
- 131397795020800 is an abundant number, because the sum of its proper divisors (312311290780160) is greater than itself. Its abundance is 180913495759360
Bases of 131397795020800
- Binary: 111011110000001011011101110010110000000000000002
- Hexadecimal: 0x77816EE58000
- Base-36: 1AKRBAKC1S
Squares and roots of 131397795020800
- 131397795020800 squared (1313977950208002) is 17265380536328173272432640000
- 131397795020800 cubed (1313977950208003) is 2268632932668559279531209186095398912000000
-
The
square root of 131397795020800 is 11462887.7260836853 -
The
cube root of 131397795020800 is 50838.8860275531
Scales and comparisons
How big is 131397795020800?- 131,397,795,020,800 seconds is equal to 4,178,043 years, 22 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
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To count from 1 to 131,397,795,020,800 would take you about ten million, four hundred forty-five thousand, one hundred eight 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 131397795020800 cubic inches would be around 4236.6 feet tall.
Recreational maths with 131397795020800
- 131397795020800 backwards is 008020597793131
- 131397795020800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131397795020800's digits is 55
- More coming soon!
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The information we have on file for 131397795020800 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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