46978496987136
46,978,496,987,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 46978496987136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
46978496987136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 46978496987136:
221 × 3 × 112 × 13 × 47 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 47 × 101)See below for interesting mathematical facts about the number 46978496987136 from the Numbermatics database.
Names of 46978496987136
- Cardinal: 46978496987136 can be written as Forty-six trillion, nine hundred seventy-eight billion, four hundred ninety-six million, nine hundred eighty-seven thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 4.6978496987136 × 1013
Factors of 46978496987136
Divisors of 46978496987136
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 47 48 52 64 66 78 88 94 96 101 104 121 128 132 141 143 156 176 188 192 202 208 242 256 264 282 286 303 312 352 363 376 384 404 416 429 484 512 517 528 564 572 606 611 624 704 726 752 768 808 832 858 968 1024 1034 1056 1111 1128 1144 1212 1222 1248 1313 1408 1452 1504 1536 1551 1573 1616 1664 1716 1833 1936 2048 2068 2112 2222 2256 2288 2424 2444 2496 2626 2816 2904 3008 3072 3102 3146 3232 3328 3333 3432 3666 3872 3939 4096 4136 4224 4444 4512 4576 4719 4747 4848 4888 4992 5252 5632 5687 5808 6016 6144 6204 6292 6464 6656 6666 6721 6864 7332 7744 7878 8192 8272 8448 8888 9024 9152 9438 9494 9696 9776 9984 10504 11264 11374 11616 12032 12221 12288 12408 12584 12928 13312 13332 13442 13728 14241 14443 14664 15488 15756 16384 16544 16896 17061 17776 18048 18304 18876 18988 19392 19552 19968 20163 21008 22528 22748 23232 24064 24442 24576 24816 25168 25856 26624 26664 26884 27456 28482 28886 29328 30976 31512 32768 33088 33792 34122 35552 36096 36608 36663 37752 37976 38784 39104 39936 40326 42016 43329 45056 45496 46464 48128 48884 49152 49632 50336 51712 52217 53248 53328 53768 54912 56964 57772 58656 61711 61952 63024 65536 66176 67584 68244 71104 72192 73216 73326 73931 75504 75952 77568 78208 79872 80652 84032 86658 90112 90992 92928 96256 97768 98304 99264 100672 103424 104434 106496 106656 107536 109824 113928 115544 117312 123422 123904 126048 131072 132352 135168 136488 142208 144384 146432 146652 147862 151008 151904 155136 156416 156651 158873 159744 161304 168064 173316 180224 181984 185133 185856 192512 195536 196608 198528 201344 206848 208868 212992 213312 215072 219648 221793 227856 231088 234624 246844 247808 252096 262144 264704 270336 272976 284416 288768 292864 293304 295724 302016 303808 310272 312832 313302 317746 319488 322608 336128 346632 360448 363968 370266 371712 385024 391072 393216 397056 402688 413696 417736 425984 426624 430144 439296 443586 455712 462176 469248 476619 493688 495616 504192 524288 529408 540672 545952 568832 574387 577536 585728 586608 591448 604032 607616 620544 625664 626604 635492 638976 645216 672256 678821 693264 720896 727936 740532 743424 770048 782144 786432 794112 805376 827392 835472 851968 853248 860288 878592 887172 911424 924352 938496 953238 987376 991232 1008384 1048576 1058816 1081344 1091904 1137664 1148774 1155072 1171456 1173216 1182896 1208064 1215232 1241088 1251328 1253208 1270984 1277952 1290432 1344512 1357642 1386528 1441792 1455872 1481064 1486848 1540096 1564288 1572864 1588224 1610752 1654784 1670944 1703936 1706496 1720576 1723161 1757184 1774344 1822848 1848704 1876992 1906476 1974752 1982464 2016768 2036463 2097152 2117632 2162688 2183808 2275328 2297548 2310144 2342912 2346432 2365792 2416128 2430464 2482176 2502656 2506416 2541968 2555904 2580864 2689024 2715284 2773056 2883584 2911744 2962128 2973696 3080192 3128576 3145728 3176448 3221504 3309568 3341888 3407872 3412992 3441152 3446322 3514368 3548688 3645696 3697408 3753984 3812952 3949504 3964928 4033536 4072926 4235264 4325376 4367616 4550656 4595096 4620288 4685824 4692864 4731584 4832256 4860928 4964352 5005312 5012832 5083936 5111808 5161728 5378048 5430568 5546112 5767168 5823488 5924256 5947392 6160384 6257152 6291456 6352896 6443008 6619136 6683776 6815744 6825984 6882304 6892644 7028736 7097376 7291392 7394816 7467031 7507968 7625904 7899008 7929856 8067072 8145852 8470528 8650752 8735232 9101312 9190192 9240576 9371648 9385728 9463168 9664512 9721856 9928704 10010624 10025664 10167872 10223616 10323456 10756096 10861136 11092224 11534336 11646976 11848512 11894784 12320768 12514304 12705792 12886016 13238272 13367552 13631488 13651968 13764608 13785288 14057472 14194752 14582784 14789632 14934062 15015936 15251808 15798016 15859712 16134144 16291704 16941056 17301504 17470464 18202624 18380384 18481152 18743296 18771456 18926336 19329024 19443712 19857408 20021248 20051328 20335744 20447232 20646912 21512192 21722272 22184448 22401093 23068672 23293952 23697024 23789568 24641536 25028608 25411584 25772032 26476544 26735104 27262976 27303936 27529216 27570576 28114944 28389504 29165568 29579264 29868124 30031872 30503616 31596032 31719424 32268288 32583408 33882112 34603008 34940928 36405248 36760768 36962304 37486592 37542912 37852672 38658048 38887424 39714816 40042496 40102656 40671488 40894464 41293824 43024384 43444544 44368896 44802186 46587904 47394048 47579136 49283072 50057216 50823168 51544064 52953088 53470208 54607872 55058432 55141152 56229888 56779008 58331136 59158528 59736248 60063744 61007232 63192064 63438848 64536576 65166816 67764224 69206016 69881856 72810496 73521536 73924608 74973184 75085824 75705344 77316096 77774848 79429632 80084992 80205312 81342976 81788928 82587648 86048768 86889088 88737792 89604372 93175808 94788096 95158272 98566144 100114432 101646336 103088128 105906176 106940416 109215744 110116864 110282304 112459776 113558016 116662272 118317056 119472496 120127488 122014464 126384128 126877696 129073152 130333632 135528448 139763712 145620992 147043072 147849216 149946368 150171648 151410688 154632192 155549696 158859264 160169984 160410624 162685952 165175296 172097536 173778176 177475584 179208744 186351616 189576192 190316544 200228864 203292672 206176256 211812352 213880832 218431488 220233728 220564608 224919552 227116032 233324544 236634112 238944992 240254976 244028928 252768256 253755392 258146304 260667264 271056896 279527424 291241984 294086144 295698432 299892736 300343296 302821376 309264384 311099392 317718528 320339968 320821248 325371904 330350592 344195072 347556352 354951168 358417488 372703232 379152384 380633088 400457728 406585344 412352512 427761664 436862976 440467456 441129216 449839104 454232064 466649088 473268224 477889984 480509952 488057856 505536512 516292608 521334528 542113792 559054848 582483968 588172288 600686592 605642752 618528768 622198784 635437056 640679936 641642496 650743808 660701184 688390144 695112704 709902336 716834976 745406464 758304768 761266176 800915456 813170688 824705024 855523328 873725952 880934912 882258432 899678208 908464128 933298176 946536448 955779968 961019904 976115712 1011073024 1032585216 1042669056 1084227584 1118109696 1164967936 1176344576 1201373184 1211285504 1237057536 1244397568 1281359872 1283284992 1301487616 1321402368 1376780288 1390225408 1419804672 1433669952 1490812928 1516609536 1601830912 1626341376 1649410048 1711046656 1747451904 1761869824 1764516864 1816928256 1866596352 1893072896 1911559936 1922039808 1952231424 2022146048 2065170432 2085338112 2236219392 2329935872 2352689152 2402746368 2422571008 2474115072 2488795136 2566569984 2602975232 2642804736 2753560576 2780450816 2839609344 2867339904 2981625856 3033219072 3203661824 3252682752 3298820096 3422093312 3494903808 3523739648 3529033728 3633856512 3733192704 3786145792 3823119872 3844079616 3904462848 4044292096 4130340864 4170676224 4472438784 4705378304 4805492736 4845142016 4948230144 4977590272 5133139968 5205950464 5285609472 5560901632 5679218688 5734679808 5963251712 6066438144 6407323648 6844186624 6989807616 7047479296 7058067456 7267713024 7466385408 7572291584 7646239744 7808925696 8088584192 8260681728 8341352448 8944877568 9410756608 9610985472 9690284032 9896460288 9955180544 10266279936 10411900928 10571218944 11121803264 11358437376 11469359616 11926503424 12132876288 12814647296 13688373248 14094958592 14116134912 14535426048 14932770816 15144583168 15292479488 15617851392 16177168384 16682704896 17889755136 18821513216 19221970944 19380568064 20532559872 20823801856 21142437888 22243606528 22716874752 22938719232 24265752576 25629294592 27376746496 28232269824 29070852096 29865541632 30289166336 30584958976 31235702784 32354336768 33365409792 35779510272 37643026432 38443941888 38761136128 41065119744 41647603712 42284875776 44487213056 45433749504 45877438464 48531505152 54753492992 56464539648 58141704192 61169917952 62471405568 64708673536 66730819584 75286052864 76887883776 77522272256 82130239488 83295207424 88974426112 90867499008 91754876928 97063010304 109506985984 112929079296 116283408384 122339835904 124942811136 129417347072 133461639168 150572105728 155044544512 164260478976 166590414848 177948852224 183509753856 194126020608 225858158592 232566816768 244679671808 249885622272 266923278336 301144211456 328520957952 333180829696 355897704448 367019507712 388252041216 451716317184 465133633536 489359343616 499771244544 533846556672 602288422912 711795408896 734039015424 903432634368 978718687232 999542489088 1067693113344 1204576845824 1423590817792 1468078030848 1806865268736 1957437374464 2135386226688 2936156061696 3613730537472 3914874748928 4270772453376 5872312123392 7829749497856 11744624246784 15659498995712 23489248493568 46978496987136
- Sum of all divisors σ(n): 152946970170624
- Sum of proper divisors (its aliquot sum) s(n): 105968473183488
- 46978496987136 is an abundant number, because the sum of its proper divisors (105968473183488) is greater than itself. Its abundance is 58989976196352
Bases of 46978496987136
- Binary: 10101010111010000010001010000000000000000000002
- Hexadecimal: 0x2ABA08A00000
- Base-36: GNHMG5NUO
Squares and roots of 46978496987136
- 46978496987136 squared (469784969871362) is 2206979179170346229349482496
- 46978496987136 cubed (469784969871363) is 103680564719325992663608641495536769171456
-
The
square root of 46978496987136 is 6854086.1525907303 -
The
cube root of 46978496987136 is 36082.7563708187
Scales and comparisons
How big is 46978496987136?- 46,978,496,987,136 seconds is equal to 1,493,770 years, 46 weeks, 2 days, 25 minutes, 36 seconds.
-
To count from 1 to 46,978,496,987,136 would take you about three million, seven hundred thirty-four thousand, four hundred twenty-seven 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 46978496987136 cubic inches would be around 3006.9 feet tall.
Recreational maths with 46978496987136
- 46978496987136 backwards is 63178969487964
- The number of decimal digits it has is: 14
- The sum of 46978496987136's digits is 87
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 46978496987136 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 46978496987136 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/46978496987136/
Chicago style:
Numbermatics. 2024. "Number 46978496987136 - Facts about the integer". https://numbermatics.com/n/46978496987136/
The information we have on file for 46978496987136 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!
Keywords: Divisors of 46978496987136, math, Factors of 46978496987136, curriculum, school, college, exams, university, Prime factorization of 46978496987136, STEM, science, technology, engineering, physics, economics, calculator, forty-six trillion, nine hundred seventy-eight billion, four hundred ninety-six million, nine hundred eighty-seven thousand, one hundred thirty-six.