12345987096576

Names of 12345987096576

• Cardinal: 12345987096576 can be written as Twelve trillion, three hundred forty-five billion, nine hundred eighty-seven million, ninety-six thousand, five hundred seventy-six.

Scientific notation

• Scientific notation: 1.2345987096576 × 10¹³

Factors of 12345987096576

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 152

Divisors of 12345987096576

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 67 72 73 84 96 112 126 128 134 144 146 168 192 201 219 224 252 256 268 288 292 336 384 402 438 448 469 504 511 512 536 576 584 603 657 672 768 804 876 896 938 1008 1022 1024 1072 1152 1168 1206 1314 1344 1407 1533 1536 1608 1752 1792 1876 2016 2044 2048 2144 2304 2336 2412 2628 2688 2814 3066 3072 3216 3504 3584 3752 4032 4088 4096 4221 4288 4489 4599 4608 4672 4824 4891 5256 5329 5376 5628 6132 6144 6432 7008 7168 7504 8064 8176 8192 8442 8576 8978 9198 9216 9344 9648 9782 10512 10658 10752 11256 12264 12288 12864 13467 14016 14336 14673 15008 15987 16128 16352 16884 17152 17956 18396 18432 18688 19296 19564 21024 21316 21504 22512 24528 24576 25728 26934 28032 28672 29346 30016 31423 31974 32256 32704 33768 34237 34304 35912 36792 36864 37303 37376 38592 39128 40401 42048 42632 43008 44019 45024 47961 49056 51456 53868 56064 57344 58692 60032 62846 63948 64512 65408 67536 68474 68608 71824 73584 73728 74606 74752 77184 78256 80802 84096 85264 86016 88038 90048 94269 95922 98112 102711 102912 107736 111909 112128 117384 120064 125692 127896 129024 130816 135072 136948 137216 143648 147168 149212 149504 154368 156512 161604 168192 170528 172032 176076 180096 188538 191844 196224 205422 205824 215472 223818 224256 234768 240128 251384 255792 258048 261632 270144 273896 274432 282807 287296 294336 298424 299008 308133 308736 313024 323208 327697 335727 336384 341056 352152 357043 360192 377076 383688 392448 410844 411648 430944 447636 448512 469536 480256 502768 511584 516096 523264 540288 547792 548864 565614 574592 588672 596848 598016 616266 617472 626048 646416 655394 671454 672768 682112 704304 714086 720384 754152 767376 784896 821688 823296 861888 895272 897024 939072 960512 983091 1005536 1023168 1046528 1071129 1080576 1095584 1131228 1149184 1177344 1193696 1232532 1234944 1252096 1292832 1310788 1342908 1345536 1364224 1408608 1428172 1440768 1508304 1534752 1569792 1643376 1646592 1723776 1790544 1794048 1878144 1921024 1966182 2011072 2046336 2093056 2142258 2161152 2191168 2262456 2293879 2298368 2354688 2387392 2465064 2469888 2499301 2504192 2585664 2621576 2685816 2691072 2728448 2817216 2856344 2881536 2949273 3016608 3069504 3139584 3213387 3286752 3447552 3581088 3756288 3842048 3932364 4022144 4092672 4186112 4284516 4322304 4382336 4524912 4587758 4596736 4709376 4774784 4930128 4939776 4998602 5008384 5171328 5243152 5371632 5382144 5456896 5634432 5712688 5763072 5898546 6033216 6139008 6279168 6426774 6573504 6881637 6895104 7162176 7497903 7512576 7864728 8044288 8185344 8569032 8644608 8764672 9049824 9175516 9193472 9418752 9549568 9860256 9997204 10016768 10342656 10486304 10743264 10913792 11268864 11425376 11526144 11797092 12066432 12278016 12558336 12853548 13147008 13763274 13790208 14324352 14995806 15025152 15729456 16088576 16370688 17138064 17289216 17529344 18099648 18351032 18386944 18837504 19099136 19720512 19994408 20033536 20644911 20685312 20972608 21486528 21827584 22493709 22537728 22850752 23594184 23921881 24132864 24556032 25707096 26294016 27526548 27580416 28648704 29991612 30050304 31458912 32177152 32741376 34276128 34578432 35058688 36199296 36702064 36773888 37675008 38198272 39441024 39988816 40067072 41289822 41370624 41945216 42973056 43655168 44987418 45075456 45701504 47188368 47843762 48265728 49112064 51414192 52588032 55053096 55160832 57297408 59983224 60100608 62917824 64354304 65482752 68552256 70117376 71765643 72398592 73404128 76396544 78882048 79977632 82579644 82741248 83890432 85946112 89974836 90150912 91403008 94376736 95687524 96531456 98224128 102828384 105176064 110106192 110321664 114594816 119966448 120201216 125835648 128708608 130965504 137104512 140234752 143531286 144797184 146808256 152793088 157764096 159955264 165159288 165482496 167453167 167780864 171892224 179949672 180301824 182806016 188753472 191375048 193062912 196448256 205656768 210352128 215296929 220212384 229189632 239932896 251671296 257417216 274209024 280469504 287062572 289594368 293616512 305586176 315528192 319910528 330318576 330964992 334906334 335561728 343784448 359899344 360603648 365612032 377506944 382750096 386125824 392896512 411313536 420704256 430593858 440424768 458379264 479865792 502359501 503342592 548418048 574125144 579188736 587233024 631056384 639821056 660637152 669812668 671123456 687568896 719798688 731224064 755013888 765500192 772251648 822627072 841408512 861187716 880849536 916758528 959731584 1004719002 1006685184 1096836096 1148250288 1158377472 1174466048 1262112768 1279642112 1321274304 1339625336 1342246912 1375137792 1439597376 1462448128 1507078503 1510027776 1531000384 1645254144 1722375432 1761699072 1919463168 2009438004 2013370368 2193672192 2296500576 2316754944 2348932096 2524225536 2559284224 2642548608 2679250672 2684493824 2750275584 2879194752 2924896256 3014157006 3020055552 3062000768 3290508288 3444750864 3523398144 3838926336 4018876008 4026740736 4387344384 4593001152 4697864192 5118568448 5285097216 5358501344 5758389504 6028314012 6040111104 6124001536 6581016576 6889501728 7046796288 7677852672 8037752016 8053481472 8774688768 9186002304 9395728384 10237136896 10570194432 10717002688 11516779008 12056628024 12080222208 12248003072 13162033152 13779003456 14093592576 15355705344 16075504032 18372004608 18791456768 20474273792 21140388864 21434005376 23033558016 24113256048 24160444416 24496006144 26324066304 27558006912 28187185152 30711410688 32151008064 36744009216 42280777728 42868010752 46067116032 48226512096 48992012288 55116013824 56374370304 61422821376 64302016128 73488018432 84561555456 85736021504 92134232064 96453024192 97984024576 110232027648 128604032256 146976036864 169123110912 171472043008 184268464128 192906048384 195968049152 220464055296 257208064512 293952073728 342944086016 385812096768 440928110592 514416129024 587904147456 685888172032 771624193536 881856221184 1028832258048 1371776344064 1543248387072 1763712442368 2057664516096 3086496774144 4115329032192 6172993548288 12345987096576
• Sum of all divisors σ(n): 41950850176872
• Sum of proper divisors (its aliquot sum) s(n): 29604863080296
• 12345987096576 is an abundant number, because the sum of its proper divisors (29604863080296) is greater than itself. Its abundance is 17258875983720

Bases of 12345987096576

• Binary: 10110011101010000110001011001110000000000000₂
• Hexadecimal: 0xB3A862CE000
• Base-36: 4DJO1YBK0

Squares and roots of 12345987096576

• 12345987096576 squared (12345987096576²) is 152423397388821090350923776
• 12345987096576 cubed (12345987096576³) is 1881817297378661153021115998217726590976
• The square root of 12345987096576 is 3513685.6855125787
• The cube root of 12345987096576 is 23112.2347290623

Scales and comparisons

• 12,345,987,096,576 seconds is equal to 392,564 years, 10 weeks, 3 days, 4 hours, 9 minutes, 36 seconds.
• To count from 1 to 12,345,987,096,576 would take you about nine hundred eighty-one thousand, four hundred ten 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 12345987096576 cubic inches would be around 1926 feet tall.

Recreational maths with 12345987096576

• 12345987096576 backwards is 67569078954321
• 12345987096576 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12345987096576's digits is 72
• More coming soon!