12971956884480
12,971,956,884,480 is an even composite number composed of seven prime numbers multiplied together.
12971956884480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 12971956884480:
210 × 32 × 5 × 11 × 31 × 181 × 4561
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 31 × 181 × 4561)See below for interesting mathematical facts about the number 12971956884480 from the Numbermatics database.
Names of 12971956884480
- Cardinal: 12971956884480 can be written as Twelve trillion, nine hundred seventy-one billion, nine hundred fifty-six million, eight hundred eighty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.297195688448 × 1013
Factors of 12971956884480
Divisors of 12971956884480
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 31 32 33 36 40 44 45 48 55 60 62 64 66 72 80 88 90 93 96 99 110 120 124 128 132 144 155 160 165 176 180 181 186 192 198 220 240 248 256 264 279 288 310 320 330 341 352 360 362 372 384 396 440 465 480 495 496 512 528 543 558 576 620 640 660 682 704 720 724 744 768 792 880 905 930 960 990 992 1023 1024 1056 1086 1116 1152 1240 1280 1320 1364 1395 1408 1440 1448 1488 1536 1584 1629 1705 1760 1810 1860 1920 1980 1984 1991 2046 2112 2172 2232 2304 2480 2560 2640 2715 2728 2790 2816 2880 2896 2976 3069 3072 3168 3258 3410 3520 3620 3720 3840 3960 3968 3982 4092 4224 4344 4464 4561 4608 4960 5115 5120 5280 5430 5456 5580 5611 5632 5760 5792 5952 5973 6138 6336 6516 6820 7040 7240 7440 7680 7920 7936 7964 8145 8184 8448 8688 8928 9122 9216 9920 9955 10230 10560 10860 10912 11160 11222 11264 11520 11584 11904 11946 12276 12672 13032 13640 13683 14080 14480 14880 15345 15360 15840 15872 15928 16290 16368 16833 16896 17376 17856 17919 18244 19840 19910 20460 21120 21720 21824 22320 22444 22805 23040 23168 23808 23892 24552 25344 26064 27280 27366 28055 28160 28960 29760 29865 30690 31680 31744 31856 32580 32736 33666 33792 34752 35712 35838 36488 39680 39820 40920 41049 42240 43440 43648 44640 44888 45610 46080 46336 47616 47784 49104 50171 50499 50688 52128 54560 54732 56110 56320 57920 59520 59730 61380 61721 63360 63712 65160 65472 67332 68415 69504 71424 71676 72976 79360 79640 81840 82098 84165 84480 86880 87296 89280 89595 89776 91220 92672 95232 95568 98208 100342 100998 101376 104256 109120 109464 112220 115840 119040 119460 122760 123442 126720 127424 130320 130944 134664 136830 139008 141391 142848 143352 145952 150513 158720 159280 163680 164196 168330 168960 173760 174592 178560 179190 179552 182440 185163 185344 191136 196416 200684 201996 205245 208512 218240 218928 224440 231680 238080 238920 245520 246884 250855 252495 253440 254848 260640 261888 269328 273660 278016 282782 285696 286704 291904 301026 308605 318560 327360 328392 336660 347520 349184 357120 358380 359104 364880 370326 382272 392832 401368 403992 410490 417024 424173 436480 437856 448880 451539 463360 476160 477840 491040 493768 501710 504990 506880 509696 521280 523776 538656 547320 555489 556032 565564 573408 583808 602052 617210 637120 654720 656784 673320 695040 706955 714240 716760 718208 729760 740652 752565 764544 785664 802736 807984 820980 825541 834048 848346 872960 875712 897760 903078 925815 926720 955680 982080 987536 1003420 1009980 1019392 1042560 1047552 1077312 1094640 1110978 1131128 1146816 1167616 1204104 1234420 1272519 1274240 1309440 1313568 1346640 1390080 1413910 1428480 1433520 1436416 1459520 1481304 1505130 1529088 1555301 1571328 1605472 1615968 1641960 1651082 1668096 1696692 1745920 1751424 1795520 1806156 1851630 1911360 1964160 1975072 2006840 2019960 2038784 2085120 2120865 2154624 2189280 2221956 2257695 2262256 2293632 2335232 2408208 2468840 2476623 2545038 2548480 2618880 2627136 2693280 2777445 2780160 2827820 2867040 2872832 2919040 2962608 3010260 3058176 3110602 3142656 3210944 3231936 3283920 3302164 3393384 3502848 3591040 3612312 3703260 3822720 3928320 3950144 4013680 4039920 4127705 4170240 4241730 4309248 4378560 4443912 4515390 4524512 4587264 4665903 4670464 4816416 4937680 4953246 5090076 5096960 5237760 5254272 5386560 5554890 5655640 5734080 5745664 5838080 5925216 6020520 6116352 6221204 6362595 6421888 6463872 6567840 6604328 6786768 7005696 7182080 7224624 7406520 7429869 7645440 7776505 7856640 7900288 8027360 8079840 8255410 8340480 8483460 8618496 8757120 8887824 9030780 9049024 9080951 9174528 9331806 9632832 9875360 9906492 10180152 10193920 10508544 10773120 11109780 11311280 11468160 11676160 11850432 12041040 12383115 12442408 12725190 12843776 12927744 13135680 13208656 13573536 13997709 14011392 14364160 14449248 14813040 14859738 15290880 15553010 15713280 15800576 16054720 16159680 16510820 16966920 17236992 17514240 17775648 18061560 18098048 18161902 18349056 18663612 19265664 19750720 19812984 20360304 21017088 21546240 22219560 22622560 22936320 23329515 23352320 23700864 24082080 24766230 24884816 25450380 25591771 25687552 25855488 26271360 26417312 27147072 27242853 27995418 28728320 28898496 29626080 29719476 30581760 31106020 31601152 32109440 32319360 33021640 33933840 35028480 35551296 36123120 36196096 36323804 37149345 37327224 38531328 39501440 39625968 40720608 42034176 43092480 44439120 45245120 45404755 45872640 46659030 47401728 48164160 49532460 49769632 50900760 51183542 51375104 51710976 52542720 52834624 54294144 54485706 55990836 57796992 59252160 59438952 62212040 63202304 64218880 64638720 66043280 67867680 69988545 70056960 71102592 72246240 72392192 72647608 74298690 74654448 76775313 77062656 79002880 79251936 81441216 81728559 86184960 88878240 90490240 90809510 91745280 93318060 94803456 96328320 99064920 99539264 101801520 102367084 105085440 105669248 108588288 108971412 111981672 115593984 118504320 118877904 124424080 127958855 128437760 129277440 132086560 135735360 136214265 139977090 142205184 144492480 144784384 145295216 148597380 149308896 153550626 154125312 158005760 158503872 162882432 163457118 177756480 180980480 181619020 186636120 189606912 192656640 198129840 199078528 203603040 204734168 210170880 211338496 217176576 217942824 223963344 230325939 231187968 237008640 237755808 248848160 255917710 256875520 258554880 264173120 271470720 272428530 279954180 281509481 284410368 288984960 290590432 297194760 298617792 307101252 316011520 317007744 325764864 326914236 355512960 361960960 363238040 373272240 383876565 385313280 396259680 398157056 407206080 408642795 409468336 422676992 434353152 435885648 447926688 460651878 462375936 474017280 475511616 497696320 511835420 528346240 542941440 544857060 559908360 563018962 568820736 577969920 581180864 594389520 597235584 614202504 634015488 651529728 653828472 711025920 723921920 726476080 746544480 767753130 770626560 792519360 796314112 814412160 817285590 818936672 844528443 845353984 871771296 895853376 921303756 948034560 951023232 995392640 1023670840 1056692480 1085882880 1089714120 1119816720 1126037924 1151629695 1155939840 1162361728 1188779040 1194471168 1228405008 1268030976 1303059456 1307656944 1407547405 1422051840 1452952160 1493088960 1535506260 1585038720 1592628224 1628824320 1634571180 1637873344 1689056886 1743542592 1791706752 1842607512 1902046464 1990785280 2047341680 2113384960 2171765760 2179428240 2239633440 2252075848 2303259390 2311879680 2324723456 2377558080 2388942336 2456810016 2533585329 2536061952 2615313888 2815094810 2844103680 2905904320 2986177920 3071012520 3170077440 3257648640 3269142360 3275746688 3378113772 3487085184 3583413504 3685215024 3804092928 3981570560 4094683360 4222642215 4226769920 4358856480 4479266880 4504151696 4606518780 4649446912 4755116160 4777884672 4913620032 5067170658 5230627776 5630189620 5811808640 5972355840 6142025040 6340154880 6515297280 6538284720 6551493376 6756227544 6974170368 7166827008 7370430048 7608185856 7963141120 8189366720 8445284430 8717712960 8958533760 9008303392 9213037560 9298893824 9510232320 9827240064 10134341316 10461255552 11260379240 11623617280 11944711680 12284050080 12667926645 12680309760 13076569440 13102986752 13512455088 13948340736 14333654016 14740860096 16378733440 16890568860 17435425920 17917067520 18016606784 18426075120 19020464640 19654480128 20268682632 20922511104 22520758480 23247234560 23889423360 24568100160 25335853290 26153138880 26205973504 27024910176 27896681472 29481720192 32757466880 33781137720 34870851840 35834135040 36033213568 36852150240 38040929280 39308960256 40537365264 41845022208 45041516960 46494469120 49136200320 50671706580 52306277760 54049820352 58963440384 65514933760 67562275440 69741703680 71668270080 72066427136 73704300480 78617920512 81074730528 83690044416 90083033920 98272400640 101343413160 104612555520 108099640704 117926880768 131029867520 135124550880 139483407360 144132854272 147408600960 162149461056 180166067840 196544801280 202686826320 209225111040 216199281408 235853761536 270249101760 288265708544 294817201920 324298922112 360332135680 393089602560 405373652640 418450222080 432398562816 540498203520 589634403840 648597844224 720664271360 810747305280 864797125632 1080996407040 1179268807680 1297195688448 1441328542720 1621494610560 2161992814080 2594391376896 3242989221120 4323985628160 6485978442240 12971956884480
- Sum of all divisors σ(n): 50906160055296
- Sum of proper divisors (its aliquot sum) s(n): 37934203170816
- 12971956884480 is an abundant number, because the sum of its proper divisors (37934203170816) is greater than itself. Its abundance is 24962246286336
Bases of 12971956884480
- Binary: 101111001100010001001110000111010100000000002
- Hexadecimal: 0xBCC44E1D400
- Base-36: 4LJ8G7B40
Squares and roots of 12971956884480
- 12971956884480 squared (129719568844802) is 168271665412808068064870400
- 12971956884480 cubed (129719568844803) is 2182812788614590719702984016518971392000
-
The
square root of 12971956884480 is 3601660.2955414881 -
The
cube root of 12971956884480 is 23496.4273334343
Scales and comparisons
How big is 12971956884480?- 12,971,956,884,480 seconds is equal to 412,468 years, 5 weeks, 2 days, 20 hours, 48 minutes.
-
To count from 1 to 12,971,956,884,480 would take you about one million, thirty-one thousand, one hundred seventy 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 12971956884480 cubic inches would be around 1958 feet tall.
Recreational maths with 12971956884480
- 12971956884480 backwards is 08448865917921
- 12971956884480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12971956884480's digits is 72
- More coming soon!
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The information we have on file for 12971956884480 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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