131397719408640
131,397,719,408,640 is an even composite number composed of six prime numbers multiplied together.
131397719408640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 131397719408640:
214 × 33 × 5 × 192 × 432 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 19 × 43 × 43 × 89)See below for interesting mathematical facts about the number 131397719408640 from the Numbermatics database.
Names of 131397719408640
- Cardinal: 131397719408640 can be written as One hundred thirty-one trillion, three hundred ninety-seven billion, seven hundred nineteen million, four hundred eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3139771940864 × 1014
Factors of 131397719408640
Divisors of 131397719408640
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 43 45 48 54 57 60 64 72 76 80 86 89 90 95 96 108 114 120 128 129 135 144 152 160 171 172 178 180 190 192 215 216 228 240 256 258 267 270 285 288 304 320 342 344 356 360 361 380 384 387 430 432 445 456 480 512 513 516 534 540 570 576 608 640 645 684 688 712 720 722 760 768 774 801 817 855 860 864 890 912 960 1024 1026 1032 1068 1080 1083 1140 1152 1161 1216 1280 1290 1335 1368 1376 1424 1440 1444 1520 1536 1548 1602 1634 1691 1710 1720 1728 1780 1805 1824 1849 1920 1935 2048 2052 2064 2136 2160 2166 2280 2304 2322 2403 2432 2451 2560 2565 2580 2670 2736 2752 2848 2880 2888 3040 3072 3096 3204 3249 3268 3382 3420 3440 3456 3560 3610 3648 3698 3827 3840 3870 4005 4085 4096 4104 4128 4272 4320 4332 4560 4608 4644 4806 4864 4902 5073 5120 5130 5160 5340 5415 5472 5504 5547 5696 5760 5776 5805 6080 6144 6192 6408 6498 6536 6764 6840 6880 6912 7120 7220 7296 7353 7396 7654 7680 7740 8010 8170 8192 8208 8256 8455 8544 8640 8664 9120 9216 9245 9288 9612 9728 9747 9804 10146 10240 10260 10320 10680 10830 10944 11008 11094 11392 11481 11520 11552 11610 12015 12160 12255 12288 12384 12816 12996 13072 13528 13680 13760 13824 14240 14440 14592 14706 14792 15219 15308 15360 15480 15523 16020 16245 16340 16384 16416 16512 16641 16910 17088 17280 17328 18240 18432 18490 18576 19135 19224 19456 19494 19608 20292 20480 20520 20640 21360 21660 21888 22016 22059 22188 22784 22962 23040 23104 23220 24030 24320 24510 24576 24768 25365 25632 25992 26144 27056 27360 27520 27648 27735 28480 28880 29184 29412 29584 30438 30616 30720 30960 31046 32040 32129 32490 32680 32832 33024 33282 33820 34176 34443 34560 34656 35131 36480 36765 36864 36980 37152 38270 38448 38912 38988 39216 40584 40960 41040 41280 42720 43320 43776 44032 44118 44376 45568 45657 45924 46080 46208 46440 46569 48060 48640 48735 49020 49152 49536 49923 50730 51264 51984 52288 54112 54720 55040 55296 55470 56960 57405 57760 58368 58824 59168 60876 61232 61440 61920 62092 64080 64258 64980 65360 65664 66048 66564 67640 68352 68886 69120 69312 70262 72713 72960 73530 73728 73960 74304 76095 76540 76896 77615 77824 77976 78432 81168 81920 82080 82560 83205 85440 86640 87552 88064 88236 88752 91136 91314 91848 92160 92416 92880 93138 96120 96387 97280 97470 98040 99072 99846 101460 102528 103329 103968 104576 105393 108224 109440 110080 110295 110592 110940 113920 114810 115520 116736 117648 118336 121752 122464 122880 123840 124184 128160 128516 129960 130720 131328 132096 133128 135280 136704 137772 138240 138624 139707 140524 145426 145920 147060 147456 147920 148608 152190 153080 153792 155230 155648 155952 156864 160645 162336 164160 164561 165120 166410 170880 172215 173280 175104 175655 176128 176472 177504 182272 182628 183696 184320 184832 185760 186276 192240 192774 194560 194940 196080 198144 199692 202920 205056 206658 207936 209152 210786 216448 218139 218880 220160 220590 221184 221880 227840 228285 229620 231040 232845 233472 235296 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114060520320 115261157376 121327534080 121664555008 123031572480 127323371520 128067952640 128318085360 136872624384 144076446720 147637886976 152080693760 152788045824 153681543168 160829521920 164042096640 169764495360 171090780480 172891736064 181991301120 182496832512 184547358720 190985057280 192101928960 203717394432 205308936576 216114670080 228121040640 230522314752 243329110016 246063144960 254646743040 256135905280 256636170720 273745248768 288152893440 295275773952 304161387520 305576091648 339528990720 342181560960 345783472128 363982602240 364993665024 369094717440 381970114560 384203857920 410617873152 432229340160 456242081280 461044629504 486658220032 492126289920 509293486080 513272341440 547490497536 576305786880 608322775040 611152183296 684363121920 691566944256 729987330048 738189434880 763940229120 768407715840 821235746304 864458680320 912484162560 973316440064 1018586972160 1026544682880 1094980995072 1152611573760 1216645550080 1368726243840 1383133888512 1459974660096 1476378869760 1527880458240 1642471492608 1728917360640 1824968325120 2053089365760 2189961990144 2305223147520 2433291100160 2737452487680 2919949320192 3055760916480 3284942985216 3457834721280 3649936650240 4106178731520 4379923980288 4866582200320 5474904975360 6569885970432 6915669442560 7299873300480 8212357463040 8759847960576 10949809950720 13139771940864 14599746600960 16424714926080 21899619901440 26279543881728 32849429852160 43799239802880 65698859704320 131397719408640
- Sum of all divisors σ(n): 510465060957600
- Sum of proper divisors (its aliquot sum) s(n): 379067341548960
- 131397719408640 is an abundant number, because the sum of its proper divisors (379067341548960) is greater than itself. Its abundance is 247669622140320
Bases of 131397719408640
- Binary: 111011110000001011010100110001111000000000000002
- Hexadecimal: 0x77816A63C000
- Base-36: 1AKRA1JPC0
Squares and roots of 131397719408640
- 131397719408640 squared (1313977194086402) is 17265360665791688951306649600
- 131397719408640 cubed (1313977194086403) is 2268629016252666239828311600034211692544000
-
The
square root of 131397719408640 is 11462884.4279544231 -
The
cube root of 131397719408640 is 50838.8762758959
Scales and comparisons
How big is 131397719408640?- 131,397,719,408,640 seconds is equal to 4,178,041 years, 1 week, 6 days, 14 hours, 24 minutes.
-
To count from 1 to 131,397,719,408,640 would take you about ten million, four hundred forty-five thousand, one hundred 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 131397719408640 cubic inches would be around 4236.6 feet tall.
Recreational maths with 131397719408640
- 131397719408640 backwards is 046804917793131
- The number of decimal digits it has is: 15
- The sum of 131397719408640's digits is 63
- More coming soon!
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"Number 131397719408640 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 131397719408640 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/131397719408640/
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Numbermatics. 2024. "Number 131397719408640 - Facts about the integer". https://numbermatics.com/n/131397719408640/
The information we have on file for 131397719408640 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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