12138376100480
12,138,376,100,480 is an even composite number composed of seven prime numbers multiplied together.
12138376100480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12138376100480:
27 × 5 × 7 × 292 × 53 × 89 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 29 × 29 × 53 × 89 × 683)See below for interesting mathematical facts about the number 12138376100480 from the Numbermatics database.
Names of 12138376100480
- Cardinal: 12138376100480 can be written as Twelve trillion, one hundred thirty-eight billion, three hundred seventy-six million, one hundred thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.213837610048 × 1013
Factors of 12138376100480
Divisors of 12138376100480
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 53 56 58 64 70 80 89 106 112 116 128 140 145 160 178 203 212 224 232 265 280 290 320 356 371 406 424 445 448 464 530 560 580 623 640 683 712 742 812 841 848 890 896 928 1015 1060 1120 1160 1246 1366 1424 1484 1537 1624 1682 1696 1780 1855 1856 2030 2120 2240 2320 2492 2581 2732 2848 2968 3074 3115 3248 3364 3392 3415 3560 3710 3712 4060 4205 4240 4480 4640 4717 4781 4984 5162 5464 5696 5887 5936 6148 6230 6496 6728 6784 6830 7120 7420 7685 8120 8410 8480 9280 9434 9562 9968 10324 10759 10928 11392 11774 11872 12296 12460 12905 12992 13456 13660 14240 14840 15370 16240 16820 16960 18067 18560 18868 19124 19807 19936 20648 21518 21856 23548 23585 23744 23905 24592 24920 25810 25984 26912 27320 28480 29435 29680 30740 32480 33019 33640 33920 36134 36199 37736 38248 39614 39872 41296 43036 43712 44573 47096 47170 47488 47810 49184 49840 51620 53795 53824 54640 56960 58870 59360 60787 61480 64960 66038 67280 72268 72398 74849 75472 76496 79228 79744 82592 86072 87424 89146 90335 94192 94340 95620 98368 99035 99680 103240 107590 107648 109280 117740 118720 121574 122960 129920 132076 134560 136793 138649 144536 144796 149698 150944 152992 158456 165095 165184 172144 178292 180670 180995 188384 188680 191240 196736 198070 199360 206480 215180 218560 222865 235480 237440 243148 245920 253393 264152 269120 273586 277298 289072 289592 299396 301888 303935 305984 312011 316912 330190 330368 344288 356584 361340 361990 374245 376768 377360 382480 396140 398720 412960 425509 430360 437120 445730 470960 486296 491840 506786 523943 528304 538240 547172 554596 574403 578144 579184 598792 603776 607870 611968 624022 633824 660380 683965 688576 693245 713168 722680 723980 748490 753536 754720 764960 792280 825920 851018 860720 891460 941920 957551 972592 983680 1013572 1047886 1049771 1056608 1094344 1109192 1148806 1156288 1158368 1197584 1215740 1248044 1266965 1267648 1320760 1367930 1377152 1386490 1426336 1445360 1447960 1496980 1509440 1529920 1560055 1584560 1651840 1702036 1721440 1762823 1782920 1883840 1915102 1945184 2027144 2095772 2099542 2113216 2127545 2188688 2218384 2297612 2312576 2316736 2395168 2431480 2496088 2533930 2535296 2619715 2641520 2735860 2772980 2852672 2872015 2890720 2895920 2993960 3018880 3059840 3120110 3169120 3221711 3404072 3442880 3525646 3565840 3767680 3830204 3890368 3966997 4020821 4054288 4191544 4199084 4226432 4255090 4377376 4436768 4595224 4633472 4787755 4790336 4862960 4992176 5067860 5239430 5248855 5283040 5471720 5545960 5705344 5744030 5781440 5791840 5987920 6240220 6338240 6443422 6808144 6885760 7051292 7131680 7348397 7660408 7780736 7933994 8041642 8108576 8383088 8398168 8510180 8754752 8814115 8873536 9190448 9575510 9580672 9725920 9984352 10135720 10478860 10497710 10566080 10943440 11091920 11488060 11562880 11583680 11975840 12339761 12480440 12676480 12886844 13616288 14102584 14263360 14696794 15320816 15867988 16083284 16108555 16217152 16766176 16796336 17020360 17509504 17628230 17747072 18380896 19151020 19451840 19834985 19968704 20104105 20271440 20957720 20995420 21132160 21886880 22183840 22551977 22976120 23167360 23951680 24679522 24960880 25773688 27232576 27768979 28205168 28526720 29393588 30443359 30641632 31735976 32166568 32217110 32434304 33532352 33592672 34040720 35256460 36741985 36761792 38302040 38903680 39669970 39937408 40208210 40542880 41915440 41990840 43773760 44367680 45103954 45952240 47903360 49359044 49921760 51121867 51547376 54465152 55537958 56410336 58787176 60886718 61283264 61698805 63471952 64333136 64434220 67064704 67185344 68081440 70512920 73483970 73523584 76604080 79339940 80416420 81085760 83830880 83981680 87547520 88735360 90207908 91904480 93429619 98718088 99843520 102243734 103094752 111075916 112759885 112820672 117574352 121773436 122566528 123397610 126943904 128666272 128868440 134370688 136162880 138844895 141025840 146967940 152216795 153208160 158679880 160832840 162171520 167661760 167963360 180415816 183808960 186859238 197436176 199687040 204487468 206189504 213103513 222151832 225519770 225641344 235148704 243546872 246795220 253887808 255609335 257332544 257736880 272325760 277689790 282051680 293935880 304433590 306416320 317359760 321665680 335323520 335926720 357853069 360831632 367617920 373718476 394872352 408974936 412379008 426207026 444303664 451039540 467148095 470297408 487093744 493590440 507775616 511218670 514665088 515473760 555379580 564103360 587871760 608867180 612832640 634719520 643331360 654007333 671853440 715706138 721663264 747436952 789744704 817949872 852414052 888607328 902079080 934296190 940594816 974187488 987180880 1022437340 1030947520 1065517565 1110759160 1128206720 1175743520 1217734360 1269439040 1286662720 1308014666 1431412276 1443326528 1494873904 1579489408 1635899744 1704828104 1777214656 1789265345 1804158160 1868592380 1948374976 1974361760 2044874680 2061895040 2131035130 2221518320 2351487040 2435468720 2538878080 2573325440 2616029332 2709458951 2862824552 2886653056 2989747808 3270036665 3271799488 3409656208 3554429312 3578530690 3608316320 3737184760 3896749952 3948723520 4089749360 4262070260 4443036640 4702974080 4870937440 5232058664 5418917902 5725649104 5979495616 6540073330 6543598976 6819312416 7157061380 7216632640 7474369520 7897447040 8179498720 8524140520 8886073280 9741874880 10464117328 10837835804 11451298208 11958991232 13080146660 13547294755 13638624832 14314122760 14433265280 14948739040 16358997440 17048281040 17772146560 18966212657 19483749760 20928234656 21675671608 22902596416 26160293320 27094589510 27277249664 28628245520 29897478080 32717994880 34096562080 37932425314 41856469312 43351343216 45805192832 52320586640 54189179020 57256491040 59794956160 68193124160 75864850628 83712938624 86702686432 94831063285 104641173280 108378358040 114512982080 136386248320 151729701256 173405372864 189662126570 209282346560 216756716080 229025964160 303459402512 346810745728 379324253140 418564693120 433513432160 606918805024 758648506280 867026864320 1213837610048 1517297012560 1734053728640 2427675220096 3034594025120 6069188050240 12138376100480
- Sum of all divisors σ(n): 35439855609600
- Sum of proper divisors (its aliquot sum) s(n): 23301479509120
- 12138376100480 is an abundant number, because the sum of its proper divisors (23301479509120) is greater than itself. Its abundance is 11163103408640
Bases of 12138376100480
- Binary: 101100001010001011111001100001111010100000002
- Hexadecimal: 0xB0A2F987A80
- Base-36: 4AWAJQ5Q8
Squares and roots of 12138376100480
- 12138376100480 squared (121383761004802) is 147340174356704051056230400
- 12138376100480 cubed (121383761004803) is 1788470451051972611805344787960430592000
-
The
square root of 12138376100480 is 3484017.2359619577 -
The
cube root of 12138376100480 is 22981.9493537359
Scales and comparisons
How big is 12138376100480?- 12,138,376,100,480 seconds is equal to 385,962 years, 42 weeks, 2 days, 3 hours, 1 minute, 20 seconds.
-
To count from 1 to 12,138,376,100,480 would take you about nine hundred sixty-four thousand, nine hundred 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 12138376100480 cubic inches would be around 1915.2 feet tall.
Recreational maths with 12138376100480
- 12138376100480 backwards is 08400167383121
- The number of decimal digits it has is: 14
- The sum of 12138376100480's digits is 44
- More coming soon!
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