130977942457200
130,977,942,457,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 130977942457200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1080 divisors.
130977942457200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 130977942457200:
24 × 3 × 52 × 192 × 89 × 1372 × 181
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 19 × 89 × 137 × 137 × 181)See below for interesting mathematical facts about the number 130977942457200 from the Numbermatics database.
Names of 130977942457200
- Cardinal: 130977942457200 can be written as One hundred thirty trillion, nine hundred seventy-seven billion, nine hundred forty-two million, four hundred fifty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.309779424572 × 1014
Factors of 130977942457200
Divisors of 130977942457200
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 89 95 100 114 120 137 150 152 178 181 190 200 228 240 267 274 285 300 304 356 361 362 380 400 411 445 456 475 534 543 548 570 600 685 712 722 724 760 822 890 905 912 950 1068 1083 1086 1096 1140 1200 1335 1370 1424 1425 1444 1448 1520 1644 1691 1780 1805 1810 1900 2055 2136 2166 2172 2192 2225 2280 2603 2670 2715 2740 2850 2888 2896 3288 3382 3425 3439 3560 3610 3620 3800 4110 4272 4332 4344 4450 4525 4560 5073 5206 5340 5415 5430 5480 5700 5776 6576 6675 6764 6850 6878 7120 7220 7240 7600 7809 8220 8455 8664 8688 8900 9025 9050 10146 10275 10317 10412 10680 10830 10860 10960 11400 12193 13015 13350 13528 13575 13700 13756 14440 14480 15618 16109 16440 16910 17195 17328 17800 18050 18100 18769 20292 20550 20634 20824 21360 21660 21720 22800 24386 24797 25365 26030 26700 27056 27075 27150 27400 27512 28880 31236 32129 32218 32880 33820 34390 35600 36100 36200 36579 37538 39045 40584 41100 41268 41648 42275 43320 43440 48327 48772 49457 49594 50730 51585 52060 53400 54150 54300 54800 55024 56307 60965 62472 64258 64436 65075 65341 67640 68780 72200 72400 73158 74391 75076 78090 80545 81168 82200 82536 84550 85975 86640 93845 96387 96654 97544 98914 99188 101460 103170 104120 106800 108300 108600 112614 121930 123985 124944 126825 128516 128872 130150 130682 135280 137560 144400 146316 148371 148782 150152 156180 160645 161090 164400 165072 169100 171950 182895 187690 192774 193308 195088 195225 196023 197828 198376 202920 206340 208240 216600 217200 225228 231667 241635 243860 247285 247970 253650 257032 257744 257925 260300 261364 275120 281535 292632 296742 297564 300304 304825 306071 312360 321290 322180 326705 338200 343900 356611 365790 371955 375380 385548 386616 390450 392046 395656 396752 402725 405840 412680 433200 450456 463334 469225 471143 481935 483270 487720 494570 495940 507300 514064 515850 520600 522728 563070 585264 593484 595128 609650 612142 619925 624720 642580 644360 653410 676400 687800 695001 713222 731580 741855 743910 750760 771096 773232 780900 784092 791312 803225 805450 825360 900912 914475 918213 926668 938450 942286 963870 966540 975440 980115 989140 991880 1014600 1031700 1041200 1045456 1069833 1126140 1158335 1186968 1190256 1208175 1219300 1224284 1236425 1239850 1285160 1288720 1306820 1375600 1390002 1407675 1413429 1426444 1463160 1483710 1487820 1501520 1530355 1542192 1561800 1568184 1606450 1610900 1633525 1670441 1783055 1828950 1836426 1853336 1859775 1876900 1884572 1927740 1933080 1960230 1978280 1983760 2029200 2063400 2139666 2206933 2252280 2316670 2355715 2373936 2409675 2416350 2438600 2448568 2472850 2479700 2570320 2613640 2780004 2815350 2826858 2852888 2926320 2967420 2975640 3060710 3123600 3136368 3212900 3221800 3267050 3340882 3397189 3475005 3566110 3657900 3672852 3706672 3709275 3719550 3753800 3769144 3855480 3866160 3920460 3956560 4126800 4279332 4401673 4413866 4504560 4591065 4633340 4711430 4819350 4832700 4877200 4897136 4900575 4945700 4959400 5011323 5227280 5349165 5560008 5630700 5653716 5705776 5791675 5815349 5934840 5951280 6121420 6425800 6443600 6534100 6620799 6681764 6775609 6794378 6950010 7067145 7132220 7315800 7345704 7418550 7439100 7507600 7538288 7651775 7710960 7840920 8352205 8558664 8803346 8827732 8915275 8951717 9182130 9266680 9422860 9638700 9665400 9801150 9891400 9918800 10022646 10191567 10698330 11034665 11120016 11261400 11307432 11583350 11630698 11778575 11869680 12242840 12851600 13068200 13205019 13241598 13363528 13551218 13588756 13900020 14134290 14264440 14631600 14691408 14837100 14878200 15303550 15681840 16704410 16985945 17117328 17375025 17446047 17606692 17655464 17830550 17903434 18364260 18533360 18845720 19277400 19330800 19602300 19782800 20045292 20326827 20383134 21396660 22008365 22069330 22522800 22614864 22955325 23166700 23261396 23557150 24485680 25056615 26136400 26410038 26483196 26727056 26745825 26855151 27102436 27177512 27800040 28268580 28528880 29076745 29674200 29756400 30607100 31738379 33103995 33408820 33878045 33971890 34750050 34892094 35213384 35310928 35335725 35661100 35806868 36728520 37691440 38554800 39204600 40090584 40653654 40766268 41761025 41931727 42793320 44016730 44138660 44758585 45910650 46333400 46522792 47114300 50113230 50957835 52820076 52966392 53491650 53710302 54204872 54355024 55173325 55600080 56537160 58153490 59348400 61214200 63476758 64546591 66025095 66207990 66817640 67756090 67943780 69500100 69784188 70426768 70671450 71322200 71613736 73457040 78409200 80181168 81307308 81532536 83522050 83863454 84929725 85586640 87230235 88033460 88277320 89517170 91821300 92666800 93045584 94228600 95215137 100226460 101634135 101915670 105640152 105932784 106983300 107420604 108409744 110041825 110346650 113074320 116306980 122428400 125283075 125795181 126953516 129093182 132050190 132415980 133635280 134275755 135512180 135887560 139000200 139568376 141342900 142644400 143227472 145383725 158691895 162614616 163065072 165519975 167044100 167726908 169390225 169859450 174460470 176066920 176554640 179034340 183642600 188457200 190430274 193639773 200452920 203268270 203831340 209658635 211280304 213966600 214841208 220083650 220693300 223792925 232613960 250566150 251590362 253907032 254789175 258186364 264100380 264831960 268551510 271024360 271775120 278000400 279136752 282685800 290767450 302349821 317383790 322732955 325229232 330125475 331039950 334088200 335453816 338780450 339718900 348920940 352133840 358068680 367285200 380860548 387279546 400905840 406536540 407662680 419317270 427933200 429682416 436151175 440167300 441386600 447585850 465227920 476075685 501132300 503180724 507814064 508170675 509578350 516372728 528200760 529663920 537103020 542048720 565371600 581534900 603029201 604699642 628975905 634767580 645465910 660250950 662079900 668176400 670907632 671378775 677560900 679437800 697841880 716137360 761721096 774559092 793459475 796702813 813073080 815325360 838634540 872302350 880334600 882773200 895171700 907049463 952151370 968198865 1002264600 1006361448 1016341350 1019156700 1032745456 1048293175 1056401520 1074206040 1163069800 1206058402 1209399284 1226385229 1257951810 1269535160 1290931820 1320501900 1324159800 1342757550 1355121800 1358875600 1395683760 1511749105 1523442192 1549118184 1586918950 1593405626 1613664775 1626146160 1677269080 1744604700 1760669200 1790343400 1809087603 1814098926 1904302740 1936397730 2004529200 2012722896 2032682700 2038313400 2096586350 2148412080 2326139600 2380378425 2390108439 2412116804 2418798568 2452770458 2515903620 2539070320 2581863640 2641003800 2648319600 2685515100 2710243600 3015146005 3023498210 3098236368 3144879525 3173837900 3186811252 3227329550 3354538160 3489209400 3580686800 3618175206 3628197852 3679155687 3808605480 3872795460 3983514065 4065365400 4076626800 4193172700 4535247315 4760756850 4780216878 4824233608 4837597136 4840994325 4905540916 5031807240 5163727280 5282007600 5371030200 5744646599 6030292010 6046996420 6131926145 6289759050 6347675800 6373622504 6454659100 6978418800 7236350412 7256395704 7358311374 7558745525 7617210960 7745590920 7967028130 8130730800 8386345400 9045438015 9070494630 9521513700 9560433756 9648467216 9681988650 9811081832 10063614480 10742060400 11489293198 11950542195 12060584020 12093992840 12263852290 12579518100 12695351600 12747245008 12909318200 14472700824 14512791408 14716622748 15075730025 15117491050 15491181840 15934056260 16772690800 17233939797 18090876030 18140989260 18395778435 19043027400 19120867512 19363977300 19622163664 19917570325 22676236575 22978586396 23901084390 24121168040 24187985680 24527704580 25159036200 25818636400 28723232995 28945401648 29433245496 30151460050 30234982100 30659630725 31868112520 34467879594 36181752060 36281978520 36791556870 38086054800 38241735024 38727954600 39835140650 45227190075 45352473150 45957172792 47802168780 48242336080 49055409160 50318072400 57446465990 58866490992 59752710975 60302920100 60469964200 61319261450 63736225040 68935759188 72363504120 72563957040 73583113740 77455909200 79670281300 86169698985 90454380150 90704946300 91914345584 91978892175 95604337560 98110818320 109148285381 114892931980 119505421950 120605840200 120939928400 122638522900 137871518376 143616164975 144727008240 147166227480 159340562600 172339397970 180908760300 181409892600 183957784350 191208675120 218296570762 229785863960 239010843900 241211680400 245277045800 275743036752 287232329950 294332454960 318681125200 327444856143 344678795940 361817520600 362819785200 367915568700 430848494925 436593141524 459571727920 478021687800 490554091600 545741426905 574464659900 654889712286 689357591880 723635041200 735831137400 861696989850 873186283048 956043375600 1091482853810 1148929319800 1309779424572 1378715183760 1471662274800 1637224280715 1723393979700 1746372566096 2182965707620 2297858639600 2619558849144 2728707134525 3274448561430 3446787959400 4365931415240 5239117698288 5457414269050 6548897122860 6893575918800 8186121403575 8731862830480 10914828538100 13097794245720 16372242807150 21829657076200 26195588491440 32744485614300 43659314152400 65488971228600 130977942457200
- Sum of all divisors σ(n): 453570579156240
- Sum of proper divisors (its aliquot sum) s(n): 322592636699040
- 130977942457200 is an abundant number, because the sum of its proper divisors (322592636699040) is greater than itself. Its abundance is 191614694241840
Bases of 130977942457200
- Binary: 111011100011111101011011011101111001011011100002
- Hexadecimal: 0x771FADBBCB70
- Base-36: 1AFEFP6SMO
Squares and roots of 130977942457200
- 130977942457200 squared (1309779424572002) is 17155221410321594373831840000
- 130977942457200 cubed (1309779424572003) is 2246955602721627218042306004989197248000000
-
The
square root of 130977942457200 is 11444559.5134631549 -
The
cube root of 130977942457200 is 50784.6801171669
Scales and comparisons
How big is 130977942457200?- 130,977,942,457,200 seconds is equal to 4,164,693 years, 22 weeks, 2 days, 1 hour, 40 minutes.
-
To count from 1 to 130,977,942,457,200 would take you about ten million, four hundred eleven thousand, seven hundred thirty-three 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 130977942457200 cubic inches would be around 4232.1 feet tall.
Recreational maths with 130977942457200
- 130977942457200 backwards is 002754249779031
- 130977942457200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130977942457200's digits is 60
- More coming soon!
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The information we have on file for 130977942457200 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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