13077918995328
13,077,918,995,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13077918995328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13077918995328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13077918995328:
27 × 32 × 112 × 31 × 37 × 157 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 31 × 37 × 157 × 521)See below for interesting mathematical facts about the number 13077918995328 from the Numbermatics database.
Names of 13077918995328
- Cardinal: 13077918995328 can be written as Thirteen trillion, seventy-seven billion, nine hundred eighteen million, nine hundred ninety-five thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3077918995328 × 1013
Factors of 13077918995328
Divisors of 13077918995328
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 37 44 48 62 64 66 72 74 88 93 96 99 111 121 124 128 132 144 148 157 176 186 192 198 222 242 248 264 279 288 296 314 333 341 352 363 372 384 396 407 444 471 484 496 521 528 558 576 592 628 666 682 704 726 744 792 814 888 942 968 992 1023 1042 1056 1089 1116 1147 1152 1184 1221 1256 1332 1364 1408 1413 1452 1488 1563 1584 1628 1727 1776 1884 1936 1984 2046 2084 2112 2178 2232 2294 2368 2442 2512 2664 2728 2826 2904 2976 3069 3126 3168 3256 3441 3454 3552 3663 3751 3768 3872 3968 4092 4168 4224 4356 4464 4477 4588 4689 4736 4867 4884 5024 5181 5328 5456 5652 5731 5808 5809 5952 6138 6252 6336 6512 6882 6908 7104 7326 7502 7536 7744 8184 8336 8712 8928 8954 9176 9378 9734 9768 10048 10323 10362 10656 10912 11253 11304 11462 11616 11618 11904 12276 12504 12617 12672 13024 13431 13764 13816 14208 14601 14652 15004 15072 15488 15543 16151 16368 16672 17193 17424 17427 17856 17908 18352 18756 18997 19277 19468 19536 20096 20646 20724 21312 21824 22506 22608 22924 23232 23236 24552 25008 25234 26048 26862 27528 27632 29202 29304 30008 30144 31086 32302 32736 33344 33759 34386 34848 34854 35712 35816 36704 37512 37851 37994 38554 38936 39072 40293 41292 41448 42624 43648 43803 45012 45216 45848 46464 46472 48453 49104 50016 50468 51579 52096 52281 53537 53724 55056 55264 56991 57831 58404 58608 60016 60288 62172 63041 63899 64604 65472 66688 67518 68772 69696 69708 71632 73408 75024 75702 75988 77108 77872 78144 80586 81797 82584 82896 87606 90024 90432 91696 92944 96906 98208 100032 100936 103158 104562 107074 107448 110112 110528 113553 113982 115662 116808 117216 120032 124344 126082 127798 129208 130944 135036 137544 138787 139392 139416 143264 145359 146816 150048 151404 151976 154216 155744 156288 160611 161172 163594 165168 165792 170973 173493 175212 177661 180048 180079 180864 183392 185888 189123 191697 193812 196416 200064 201872 206316 209124 212047 214148 214896 220224 221056 227106 227964 231324 233616 234432 240064 245391 248688 252164 255596 258416 270072 275088 277574 278832 286528 290718 300096 302808 303952 308432 311488 321222 322344 327188 330336 331584 341946 346986 350424 355322 360096 360158 366784 371776 378246 383394 387624 392832 403744 412632 416361 418248 424094 428296 429792 440448 454212 455928 462648 467232 468864 480128 481833 490782 497376 504328 511192 516832 532983 540144 540237 550176 555148 557664 567369 573056 575091 581436 588907 597587 600192 605616 607904 616864 622976 636141 642444 644688 654376 660672 663168 683892 693972 700848 702889 710644 720192 720316 733568 736173 743552 756492 766788 775248 807488 825264 832722 836496 848188 856592 859584 899767 908424 911856 925296 934464 963666 981564 994752 1008656 1022384 1033664 1065966 1080288 1080474 1100352 1110296 1115328 1134738 1150182 1162872 1177814 1195174 1211232 1215808 1233728 1249083 1272282 1284888 1289376 1308752 1321344 1367784 1387944 1401696 1405778 1421288 1440384 1440632 1472346 1512984 1533576 1550496 1598949 1614976 1620711 1650528 1665444 1672992 1696376 1713184 1719168 1766721 1792761 1799534 1816848 1823712 1850592 1868928 1908423 1927332 1954271 1963128 1980869 1989504 2017312 2044768 2067328 2108667 2131932 2160576 2160948 2200704 2220592 2230656 2269476 2300364 2325744 2332517 2355628 2390348 2422464 2431616 2467456 2498166 2535707 2544564 2569776 2578752 2617504 2699301 2735568 2775888 2803392 2811556 2842576 2881264 2944692 3025968 3026489 3067152 3100992 3197898 3241422 3301056 3330888 3345984 3392752 3426368 3533442 3585522 3599068 3633696 3647424 3701184 3816846 3854664 3908542 3926256 3961738 4034624 4089536 4217334 4263864 4321152 4321896 4441184 4538952 4600728 4651488 4665034 4711256 4780696 4844928 4996332 5071414 5089128 5139552 5157504 5235008 5300163 5378283 5398602 5471136 5551776 5606784 5623112 5685152 5762528 5862813 5889384 5942607 6051936 6052978 6134304 6201984 6326001 6395796 6482844 6573457 6602112 6661776 6691968 6785504 6852736 6997551 7066884 7171044 7198136 7267392 7294848 7402368 7607121 7633692 7709328 7817084 7852512 7923476 8069248 8097903 8179072 8434668 8527728 8643792 8882368 9077904 9079467 9201456 9302976 9330068 9422512 9561392 9897437 9992664 10142828 10178256 10279104 10470016 10600326 10756566 10797204 10942272 11103552 11246224 11370304 11525056 11725626 11778768 11885214 12103872 12105956 12268608 12652002 12791592 12965688 13146914 13323552 13571008 13995102 14133768 14342088 14396272 14534784 15214242 15267384 15418656 15634168 15705024 15846952 16195806 16869336 17055456 17287584 17588439 17764736 17827821 18155808 18158934 18402912 18605952 18660136 18845024 19122784 19720371 19794874 19985328 20285656 20356512 20558208 20992653 21200652 21513132 21594408 21789559 21884544 22207104 22492448 22740608 22821363 23050112 23451252 23557536 23770428 24207744 24211912 24537216 25304004 25583184 25931376 26293828 26647104 27142016 27238401 27892777 27990204 28267536 28684176 28792544 29692311 30428484 30534768 30837312 31268336 31410048 31693904 32391612 33291379 33738672 34110912 34575168 35176878 35655642 36311616 36317868 36805824 37320272 37690048 38245568 39440742 39589748 39970656 40571312 40713024 41985306 42401304 43026264 43188816 43579118 44984896 45642726 46902504 47115072 47540856 48423824 50608008 51166368 51862752 52587656 53294208 54476802 55785554 55980408 56535072 57368352 57585088 59161113 59384622 60856968 61069536 61674624 62536672 63387808 64783224 65368677 66582758 67477344 68221824 69150336 70353756 71311284 72308027 72623232 72635736 73611648 74640544 75380096 76491136 78881484 79179496 79941312 81142624 81426048 83678331 83970612 84802608 86052528 86377632 87158236 89076933 89969792 91285452 93805008 93821159 94230144 95081712 96847648 99874137 101216016 102332736 103725504 105175312 108953604 111571108 111960816 113070144 114736704 115170176 118322226 118769244 121713936 122139072 125073344 126775616 129566448 130737354 133165516 134954688 140707512 142622568 144616054 145271472 149281088 157762968 158358992 159882624 162285248 167356662 167941224 169605216 172105056 172755264 174316472 178153866 182570904 187610016 187642318 190163424 193695296 196106031 199748274 202432032 204665472 207451008 210350624 216924081 217907208 223142216 223921632 226140288 229473408 236644452 237538488 243427872 244278144 250146688 251034993 253551232 259132896 261474708 266331032 269909376 281415024 281463477 285245136 289232108 290542944 298562176 299622411 306820547 315525936 316717984 324570496 334713324 335882448 339210432 344210112 345510528 348632944 356307732 365141808 366205169 375220032 375284636 380326848 387390592 392212062 399496548 404864064 420701248 433848162 435814416 446284432 447843264 473288904 475076976 486855744 502069986 518265792 522949416 532662064 562830048 562926954 570490272 578464216 581085888 599244822 613641094 631051872 633435968 650772243 669426648 671764896 678420864 688420224 697265888 712615464 730283616 732410338 750440064 750569272 760653696 784424124 798993096 809728128 841402496 844390431 867696324 871628832 892568864 895686528 920461641 946577808 950153952 973711488 1004139972 1032032749 1036531584 1045898832 1065324128 1098615507 1125660096 1125853908 1140980544 1156928432 1162171776 1198489644 1227282188 1262103744 1266871936 1301544486 1338853296 1343529792 1394531776 1425230928 1460567232 1464820676 1501138544 1568848248 1597986192 1688780862 1735392648 1743257664 1785137728 1840923282 1893155616 1900307904 2008279944 2064065498 2091797664 2130648256 2197231014 2251320192 2251707816 2281961088 2313856864 2396979288 2454564376 2524207488 2603088972 2677706592 2687059584 2761384923 2789063552 2850461856 2921134464 2929641352 3002277088 3096098247 3137696496 3195972384 3295846521 3377561724 3470785296 3486515328 3570275456 3681846564 3786311232 3800615808 4016559888 4128130996 4183595328 4261296512 4394462028 4503415632 4627713728 4793958576 4909128752 5206177944 5355413184 5522769846 5700923712 5859282704 6004554176 6192196494 6275392992 6391944768 6591693042 6755123448 6941570592 7363693128 7572622464 8033119776 8256261992 8367190656 8788924056 9006831264 9255427456 9288294741 9587917152 9818257504 10412355888 10710826368 11045539692 11352360239 11401847424 11718565408 12009108352 12384392988 12550785984 12783889536 13183386084 13510246896 13883141184 14727386256 16066239552 16512523984 17577848112 18013662528 18576589482 19175834304 19636515008 20824711776 22091079384 22704720478 23437130816 24768785976 25101571968 26366772168 27020493792 27766282368 29454772512 32132479104 33025047968 34057080717 35155696224 36027325056 37153178964 38351668608 39273030016 41649423552 44182158768 45409440956 46874261632 49537571952 52733544336 54040987584 58909545024 66050095936 68114161434 70311392448 74306357928 83298847104 88364317536 90818881912 99075143904 102171242151 105467088672 108081975168 117819090048 132100191872 136228322868 140622784896 148612715856 176728635072 181637763824 198150287808 204342484302 210934177344 272456645736 297225431712 353457270144 363275527648 396300575616 408684968604 421868354688 544913291472 594450863424 726551055296 817369937208 1089826582944 1188901726848 1453102110592 1634739874416 2179653165888 3269479748832 4359306331776 6538959497664 13077918995328
- Sum of all divisors σ(n): 44217719320320
- Sum of proper divisors (its aliquot sum) s(n): 31139800324992
- 13077918995328 is an abundant number, because the sum of its proper divisors (31139800324992) is greater than itself. Its abundance is 18061881329664
Bases of 13077918995328
- Binary: 101111100100111100001011011101010011100000002
- Hexadecimal: 0xBE4F0B75380
- Base-36: 4MVWVB340
Squares and roots of 13077918995328
- 13077918995328 squared (130779189953282) is 171031965248360924885827584
- 13077918995328 cubed (130779189953283) is 2236742187129817716781595150451109527552
-
The
square root of 13077918995328 is 3616340.5530076949 -
The
cube root of 13077918995328 is 23560.2311858887
Scales and comparisons
How big is 13077918995328?- 13,077,918,995,328 seconds is equal to 415,837 years, 19 weeks, 2 days, 4 hours, 28 minutes, 48 seconds.
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To count from 1 to 13,077,918,995,328 would take you about one million, thirty-nine thousand, five hundred ninety-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 13077918995328 cubic inches would be around 1963.4 feet tall.
Recreational maths with 13077918995328
- 13077918995328 backwards is 82359981977031
- 13077918995328 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13077918995328's digits is 72
- More coming soon!
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The information we have on file for 13077918995328 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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