107138558916480
107,138,558,916,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 107138558916480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
107138558916480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 107138558916480:
27 × 3 × 5 × 7 × 133 × 193 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 13 × 19 × 19 × 19 × 23 × 23)See below for interesting mathematical facts about the number 107138558916480 from the Numbermatics database.
Names of 107138558916480
- Cardinal: 107138558916480 can be written as One hundred seven trillion, one hundred thirty-eight billion, five hundred fifty-eight million, nine hundred sixteen thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.0713855891648 × 1014
Factors of 107138558916480
Divisors of 107138558916480
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 23 24 26 28 30 32 35 38 39 40 42 46 48 52 56 57 60 64 65 69 70 76 78 80 84 91 92 95 96 104 105 112 114 115 120 128 130 133 138 140 152 156 160 161 168 169 182 184 190 192 195 208 210 224 228 230 240 247 260 266 273 276 280 285 299 304 312 320 322 336 338 345 361 364 368 380 384 390 399 416 420 437 448 455 456 460 480 483 494 507 520 529 532 546 552 560 570 598 608 624 640 644 665 672 676 690 722 728 736 741 760 780 798 805 832 840 845 874 896 897 910 912 920 960 966 988 1014 1040 1058 1064 1083 1092 1104 1120 1140 1183 1196 1216 1235 1248 1288 1311 1330 1344 1352 1365 1380 1444 1456 1472 1482 1495 1520 1560 1587 1596 1610 1664 1680 1690 1729 1748 1794 1805 1820 1824 1840 1920 1932 1976 1995 2028 2080 2093 2116 2128 2166 2184 2185 2197 2208 2240 2280 2366 2392 2415 2432 2470 2496 2527 2535 2576 2622 2645 2660 2688 2704 2730 2760 2888 2912 2944 2964 2990 3040 3059 3120 3174 3192 3211 3220 3360 3380 3458 3496 3549 3588 3610 3640 3648 3680 3703 3705 3864 3887 3952 3990 4056 4160 4186 4232 4256 4332 4368 4370 4394 4416 4480 4485 4560 4693 4732 4784 4830 4940 4992 5054 5070 5152 5187 5244 5290 5320 5408 5415 5460 5520 5681 5776 5824 5915 5928 5980 6080 6118 6240 6279 6348 6384 6422 6440 6555 6591 6720 6760 6859 6877 6916 6992 7098 7176 7220 7280 7296 7360 7406 7410 7581 7728 7774 7904 7935 7980 8112 8303 8320 8372 8464 8512 8645 8664 8736 8740 8788 8832 8970 9120 9177 9386 9464 9568 9633 9660 9880 10051 10108 10140 10304 10374 10465 10488 10580 10640 10816 10830 10920 10985 11040 11109 11362 11552 11648 11661 11830 11856 11960 12160 12236 12480 12558 12635 12696 12768 12844 12880 13110 13182 13440 13520 13718 13754 13832 13984 14079 14196 14352 14440 14560 14720 14812 14820 15162 15295 15379 15456 15548 15808 15870 15960 16055 16224 16606 16744 16928 17024 17043 17290 17328 17472 17480 17576 17745 17940 18240 18354 18515 18772 18928 19136 19266 19320 19435 19760 20102 20216 20280 20577 20608 20631 20748 20930 20976 21160 21280 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4952781015 5034706716 5063258928 5107673480 5118899136 5163801760 5193086080 5198881935 5206714240 5282966416 5299691280 5329746240 5421991848 5512660608 5545474064 5561017280 5598795930 5660321160 5707359840 5786581632 5837341120 5873824502 5972048992 6037675904 6095730480 6129208176 6132014590 6182973160 6196562112 6286367360 6293383395 6329073660 6398623920 6451798080 6603708020 6673220736 6712942288 6751011904 6777489810 6890825760 6931842580 6966549120 7004809344 7066255040 7229322464 7233227040 7278434709 7358417508 7419567792 7465061240 7547094880 7609813120 7661510220 7745702640 7789629120 7810071360 7924449624 7971618967 8127640640 8172277568 8318211096 8341525920 8391177860 8438764880 8479506048 8531498560 8584820426 8756011680 8810736753 8958073488 9036653080 9056513856 9187767680 9198021885 9274459740 9429551040 9644302720 9704579612 9753168768 9811223344 9892757056 9905562030 10069413432 10126517856 10215346960 10237798272 10327603520 10397763870 10565932832 10599382560 10659492480 10843983696 11090948128 11122034560 11197591860 11320642320 11414719680 11674682240 11747649004 11944097984 12130724515 12191460960 12258416352 12264029180 12365946320 12393124224 12586766790 12658147320 12797247840 12877230639 12903596160 13207416040 13425884576 13502023808 13554979620 13781651520 13863685160 14132510080 14458644928 14466454080 14556869418 14684561255 14716835016 14839135584 14930122480 15094189760 15323020440 15491405280 15579258240 15620142720 15848899248 15943237934 16255281280 16344555136 16636422192 16683051840 16782355720 16877529760 17062997120 17169640852 17512023360 17621473506 17916146976 18073306160 18113027712 18396043770 18548919480 18859102080 19409159224 19622446688 19785514112 19811124060 20138826864 20253035712 20430693920 20655207040 20795527740 21131865664 21198765120 21462051065 21687967392 22181896256 22395183720 22641284640 22829439360 23495298008 23888195968 23914856901 24261449030 24382921920 24516832704 24528058360 24731892640 25173533580 25316294640 25594495680 25754461278 26414832080 26851769152 27109959240 27563303040 27727370320 28917289856 28932908160 29113738836 29369122510 29433670032 29678271168 29860244960 30188379520 30646040880 30982810560 31697798496 31886475868 33272844384 33366103680 33564711440 33755059520 34339281704 35024046720 35242947012 35832293952 36146612320 36392173545 36792087540 37097838960 38818318448 39244893376 39622248120 39858094835 40277653728 40506071424 40861387840 41591055480 42263731328 42397530240 42924102130 43375934784 44053683765 44363792512 44790367440 45282569280 46990596016 47829713802 48522898060 48765843840 49033665408 49056116720 49463785280 50347067160 50632589280 51188991360 51508922556 52829664160 53703538304 54219918480 55454740640 55801332769 58227477672 58738245020 58867340064 59356542336 59720489920 61292081760 61965621120 63395596992 63772951736 64386153195 66545688768 67129422880 67510119040 68678563408 70485894024 71664587904 72293224640 72784347090 73584175080 74195677920 77636636896 78489786752 79244496240 79716189670 80555307456 81722775680 83182110960 85848204260 86751869568 88107367530 89580734880 90565138560 93981192032 95659427604 97045796120 98112233440 98927570560 100694134320 101265178560 103017845112 105659328320 108439836960 110909481280 111602665538 116454955344 117476490040 117734680128 119440979840 119574284505 122584163520 126791193984 127545903472 128772306390 133091377536 134258845760 137357126816 140971788048 144586449280 145568694180 147168350160 148391355840 155273273792 158488992480 159432379340 161110614912 166364221920 167403998307 171696408520 176214735060 179161469760 187962384064 191318855208 194091592240 196224466880 201388268640 202530357120 206035690224 211318656640 216879673920 221818962560 223205331076 232909910688 234952980080 235469360256 239148569010 245168327040 255091806944 257544612780 268517691520 274714253632 279006663845 281943576096 291137388360 294336700320 296782711680 310546547584 316977984960 318864758680 332728443840 334807996614 343392817040 352429470120 358322939520 375924768128 382637710416 388183184480 392448933760 402776537280 412071380448 433759347840 446410662152 465819821376 469905960160 478297138020 510183613888 515089225560 549428507264 558013327690 563887152192 582274776720 588673400640 633955969920 637729517360 665456887680 669615993228 686785634080 704858940240 765275420832 776366368960 805553074560 824142760896 837019991535 892821324304 931639642752 939811920320 956594276040 1020367227776 1030178451120 1116026655380 1127774304384 1164549553440 1177346801280 1275459034720 1339231986456 1373571268160 1409717880480 1530550841664 1552732737920 1648285521792 1674039983070 1785642648608 1879623840640 1913188552080 2060356902240 2232053310760 2329099106880 2550918069440 2678463972912 2747142536320 2819435760960 3061101683328 3348079966140 3571285297216 3826377104160 4120713804480 4464106621520 4658198213760 5101836138880 5356927945824 5638871521920 6696159932280 7142570594432 7652754208320 8241427608960 8928213243040 10713855891648 13392319864560 15305508416640 17856426486080 21427711783296 26784639729120 35712852972160 53569279458240 107138558916480
- Sum of all divisors σ(n): 466532672256000
- Sum of proper divisors (its aliquot sum) s(n): 359394113339520
- 107138558916480 is an abundant number, because the sum of its proper divisors (359394113339520) is greater than itself. Its abundance is 252255554423040
Bases of 107138558916480
- Binary: 110000101110001001000111011111011110111100000002
- Hexadecimal: 0x617123BEF780
- Base-36: 11Z6RVQR9C
Squares and roots of 107138558916480
- 107138558916480 squared (1071385589164802) is 11478670806700056111615590400
- 107138558916480 cubed (1071385589164803) is 1229808248506512971242048830948099489792000
-
The
square root of 107138558916480 is 10350775.7639937307 -
The
cube root of 107138558916480 is 47495.0774461467
Scales and comparisons
How big is 107138558916480?- 107,138,558,916,480 seconds is equal to 3,406,674 years, 40 weeks, 1 day, 2 hours, 8 minutes.
-
To count from 1 to 107,138,558,916,480 would take you about eight million, five hundred sixteen thousand, six hundred eighty-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 107138558916480 cubic inches would be around 3957.9 feet tall.
Recreational maths with 107138558916480
- 107138558916480 backwards is 084619855831701
- The number of decimal digits it has is: 15
- The sum of 107138558916480's digits is 66
- More coming soon!
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"Number 107138558916480 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 107138558916480 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/107138558916480/
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Numbermatics. 2024. "Number 107138558916480 - Facts about the integer". https://numbermatics.com/n/107138558916480/
The information we have on file for 107138558916480 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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