131630874168320
131,630,874,168,320 is an even composite number composed of seven prime numbers multiplied together.
131630874168320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 131630874168320:
210 × 5 × 67 × 73 × 113 × 181 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 67 × 73 × 113 × 181 × 257)See below for interesting mathematical facts about the number 131630874168320 from the Numbermatics database.
Names of 131630874168320
- Cardinal: 131630874168320 can be written as One hundred thirty-one trillion, six hundred thirty billion, eight hundred seventy-four million, one hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3163087416832 × 1014
Factors of 131630874168320
Divisors of 131630874168320
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 64 67 73 80 113 128 134 146 160 181 226 256 257 268 292 320 335 362 365 452 512 514 536 565 584 640 670 724 730 904 905 1024 1028 1072 1130 1168 1280 1285 1340 1448 1460 1808 1810 2056 2144 2260 2336 2560 2570 2680 2896 2920 3616 3620 4112 4288 4520 4672 4891 5120 5140 5360 5792 5840 7232 7240 7571 8224 8249 8576 9040 9344 9782 10280 10720 11584 11680 12127 13213 14464 14480 15142 16448 16498 17152 17219 18080 18688 18761 19564 20453 20560 21440 23168 23360 24254 24455 26426 28928 28960 29041 30284 32896 32996 34304 34438 36160 37376 37522 37855 39128 40906 41120 41245 42880 46336 46517 46720 48508 48910 52852 57856 57920 58082 60568 60635 65792 65992 66065 68608 68876 72320 74752 75044 75710 78256 81812 82240 82490 85760 86095 92672 93034 93440 93805 97016 97820 102265 105704 115712 115840 116164 121136 121270 131584 131984 132130 137752 144640 145205 150088 151420 156512 163624 164480 164980 171520 172190 185344 186068 186880 187610 194032 195640 204530 211408 231680 232328 232585 242272 242540 263168 263968 264260 275504 289280 290410 300176 302840 313024 327248 328960 329960 343040 344380 372136 373760 375220 388064 391280 409060 422816 463360 464656 465170 484544 485080 527936 528520 551008 552683 578560 580820 600352 605680 626048 654496 657920 659920 688760 744272 750440 776128 782560 818120 845632 885271 926720 929312 930340 969088 970160 1055872 1057040 1102016 1105366 1161640 1200704 1211360 1252096 1256987 1308992 1315840 1319840 1370351 1377520 1488544 1493069 1500880 1552256 1565120 1636240 1691264 1770542 1858624 1860680 1938176 1940320 1945747 2111744 2114080 2119993 2204032 2210732 2323280 2401408 2422720 2504192 2513974 2617984 2639680 2740702 2755040 2763415 2977088 2986138 3001760 3104512 3116639 3130240 3272480 3382528 3395741 3541084 3717248 3721360 3876352 3880640 3891494 4223488 4228160 4239986 4408064 4421464 4426355 4646560 4802816 4845440 5008384 5027948 5235968 5256421 5279360 5481404 5510080 5526830 5954176 5972276 6003520 6209024 6233278 6260480 6284935 6544960 6765056 6791482 6851755 7082168 7434496 7442720 7465345 7752704 7761280 7782988 8446976 8456320 8479972 8816128 8842928 8852710 9293120 9605632 9690880 9728735 10055896 10471936 10512842 10558720 10599965 10962808 11020160 11053660 11908352 11944552 12007040 12418048 12466556 12520960 12569870 13089920 13530112 13582964 13703510 14164336 14868992 14885440 14930690 15522560 15565976 15583195 16912640 16959944 16978705 17632256 17685856 17705420 18586240 19211264 19381760 19457470 20111792 20943872 21025684 21117440 21199930 21925616 22040320 22107320 23816704 23889104 24014080 24933112 25041920 25139740 26179840 26282105 27165928 27407020 28328672 29737984 29770880 29861380 31045120 31131952 31166390 33825280 33919888 33957410 35371712 35410840 37172480 38763520 38914940 40223584 42051368 42234880 42399860 43851232 44080640 44214640 47633408 47778208 48028160 49866224 50279480 52359680 52564210 54331856 54814040 56657344 59541760 59722760 62090240 62263904 62332780 67650560 67839776 67914820 70743424 70821680 74344960 77829880 80447168 84102736 84799720 87702464 88161280 88429280 95556416 96056320 99732448 100035623 100558960 104719360 105128420 108663712 109628080 113314688 119083520 119445520 124527808 124665560 135679552 135829640 141486848 141643360 142039531 148689920 155659760 160894336 168205472 169599440 175404928 176858560 191112832 199464896 200071246 201117920 210256840 217327424 219256160 226629376 227514647 238167040 238891040 249055616 249331120 271359104 271659280 282973696 283286720 284079062 311319520 321788672 336410944 339198880 350809856 352180207 353717120 382225664 383718733 398929792 400142492 402235840 420513680 434654848 438512320 453258752 455029294 477782080 498111232 498662240 500178115 542718208 543318560 565947392 566573440 568158124 622639040 643577344 672821888 678397760 701619712 704360414 707434240 710197655 764451328 767437466 797859584 800284984 804471680 841027360 869309696 877024640 906517504 910058588 955564160 996222464 997324480 1000356230 1085436416 1086637120 1133146880 1136316248 1137573235 1245278080 1287154688 1345643776 1356795520 1403239424 1408720828 1414868480 1420395310 1528902656 1534874932 1595719168 1600569968 1608943360 1682054720 1738619392 1754049280 1760901035 1820117176 1911128320 1918593665 1992444928 1994648960 2000712460 2170872832 2173274240 2266293760 2272632496 2275146470 2490556160 2691287552 2713591040 2817441656 2829736960 2840790620 3069749864 3191438336 3201139936 3217886720 3364109440 3477238784 3508098560 3521802070 3640234352 3822256640 3837187330 3989297920 4001424920 4346548480 4532587520 4545264992 4550292940 4981112320 5382575104 5427182080 5634883312 5681581240 6139499728 6402279872 6435773440 6728218880 7016197120 7043604140 7280468704 7644513280 7674374660 7978595840 8002849840 8693096960 9090529984 9100585880 9962224640 10854364160 11269766624 11363162480 12278999456 12804559744 13456437760 14087208280 14560937408 15348749320 15957191680 16005699680 17386193920 18181059968 18201171760 22539533248 22726324960 24557998912 25609119488 25709155111 26912875520 28174416560 29121874816 30697498640 32011399360 36362119936 36402343520 45079066496 45452649920 49115997824 51218238976 51418310222 56348833120 58243749632 61394997280 64022798720 72724239872 72804687040 90158132992 90905299840 98231995648 102436477952 102836620444 112697666240 116487499264 122789994560 128045597440 128545775555 145448479744 145609374080 180316265984 181810599680 196463991296 205673240888 225395332480 232974998528 245579989120 256091194880 257091551110 291218748160 360632531968 363621199360 392927982592 411346481776 450790664960 491159978240 512182389760 514183102220 582437496320 727242398720 822692963552 901581329920 982319956480 1028366204440 1164874992640 1645385927104 1803162659840 1964639912960 2056732408880 3290771854208 4113464817760 6581543708416 8226929635520 13163087416832 16453859271040 26326174833664 32907718542080 65815437084160 131630874168320
- Sum of all divisors σ(n): 330830598623616
- Sum of proper divisors (its aliquot sum) s(n): 199199724455296
- 131630874168320 is an abundant number, because the sum of its proper divisors (199199724455296) is greater than itself. Its abundance is 67568850286976
Bases of 131630874168320
- Binary: 111011110110111101100110111111100001100000000002
- Hexadecimal: 0x77B7B37F0C00
- Base-36: 1ANQDZVDA8
Squares and roots of 131630874168320
- 131630874168320 squared (1316308741683202) is 17326687034316093451691622400
- 131630874168320 cubed (1316308741683203) is 2280726960767923334927929884778711482368000
-
The
square root of 131630874168320 is 11473049.9069916017 -
The
cube root of 131630874168320 is 50868.9283498845
Scales and comparisons
How big is 131630874168320?- 131,630,874,168,320 seconds is equal to 4,185,454 years, 33 weeks, 1 day, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 131,630,874,168,320 would take you about ten million, four hundred sixty-three thousand, six hundred thirty-six 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 131630874168320 cubic inches would be around 4239.1 feet tall.
Recreational maths with 131630874168320
- 131630874168320 backwards is 023861478036131
- The number of decimal digits it has is: 15
- The sum of 131630874168320's digits is 53
- More coming soon!
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