126646976768000

Names of 126646976768000

• Cardinal: 126646976768000 can be written as One hundred twenty-six trillion, six hundred forty-six billion, nine hundred seventy-six million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.26646976768 × 10¹⁴

Factors of 126646976768000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 2091

Divisors of 126646976768000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 125 128 130 148 160 185 200 208 250 256 260 296 320 325 370 400 416 481 500 512 520 592 640 650 740 800 832 925 941 962 1000 1024 1040 1093 1184 1280 1300 1480 1600 1625 1664 1850 1882 1924 2000 2048 2080 2186 2368 2405 2560 2600 2960 3200 3250 3328 3700 3764 3848 4000 4160 4372 4625 4705 4736 4810 5120 5200 5465 5920 6400 6500 6656 7400 7528 7696 8000 8320 8744 9250 9410 9472 9620 10240 10400 10930 11840 12025 12233 12800 13000 13312 14209 14800 15056 15392 16000 16640 17488 18500 18820 18944 19240 20800 21860 23525 23680 24050 24466 25600 26000 26624 27325 28418 29600 30112 30784 32000 33280 34817 34976 37000 37640 37888 38480 40441 41600 43720 47050 47360 48100 48932 51200 52000 54650 56836 59200 60125 60224 61165 61568 64000 66560 69634 69952 71045 74000 75280 75776 76960 80882 83200 87440 94100 94720 96200 97864 104000 109300 113672 117625 118400 120250 120448 122330 123136 128000 133120 136625 139268 139904 142090 148000 150560 153920 161764 166400 174085 174880 188200 189440 192400 195728 202205 208000 218600 227344 235250 236800 240500 240896 244660 246272 256000 273250 278536 279808 284180 296000 301120 305825 307840 323528 332800 348170 349760 355225 376400 378880 384800 391456 404410 416000 437200 452621 454688 470500 473600 481000 481792 489320 492544 525733 546500 557072 559616 568360 592000 602240 611650 615680 647056 665600 696340 699520 710450 752800 769600 782912 808820 832000 870425 874400 905242 909376 941000 947200 962000 963584 978640 985088 1011025 1028513 1051466 1093000 1114144 1119232 1136720 1184000 1204480 1223300 1231360 1294112 1392680 1399040 1420900 1505600 1529125 1539200 1565824 1617640 1664000 1740850 1748800 1776125 1810484 1818752 1882000 1894400 1924000 1927168 1957280 2022050 2057026 2102932 2186000 2228288 2238464 2263105 2273440 2368000 2408960 2446600 2462720 2588224 2628665 2785360 2798080 2841800 3011200 3058250 3078400 3131648 3235280 3328000 3481700 3497600 3552250 3620968 3637504 3764000 3848000 3914560 4044100 4114052 4205864 4352125 4372000 4456576 4526210 4546880 4736000 4817920 4893200 4925440 5055125 5142565 5176448 5257330 5570720 5596160 5683600 6022400 6116500 6156800 6263296 6470560 6963400 6995200 7104500 7241936 7275008 7528000 7696000 7829120 8088200 8228104 8411728 8704250 8744000 8913152 9052420 9093760 9472000 9635840 9786400 10110250 10285130 10352896 10514660 11141440 11192320 11315525 11367200 12044800 12233000 12313600 12526592 12941120 13143325 13370669 13926800 13990400 14209000 14483872 14550016 15056000 15392000 15658240 16176400 16456208 16823456 17408500 17488000 17826304 18104840 18187520 19572800 20220500 20570260 20705792 21029320 22282880 22631050 22734400 24089600 24466000 24627200 25053184 25712825 25882240 26286650 26741338 27853600 27980800 28418000 28967744 29100032 30112000 30784000 31316480 32352800 32912416 33646912 34817000 34976000 35652608 36209680 36375040 38054981 39145600 40441000 41140520 41411584 42058640 44565760 45262100 45468800 48179200 48932000 51425650 51764480 52573300 53482676 55707200 55961600 56577625 56836000 57935488 60224000 61568000 62632960 64705600 65716625 65824832 66853345 67293824 69634000 69952000 71305216 72419360 72750080 76109962 78291200 80882000 82281040 82823168 84117280 89131520 90524200 90937600 97864000 102851300 103528960 105146600 106965352 111414400 113155250 113672000 115870976 120448000 123136000 125265920 128564125 129411200 131433250 131649664 133706690 134587648 139268000 139904000 144838720 145500160 152219924 156582400 161764000 164562080 168234560 178263040 181048400 181875200 190274905 195728000 205702600 207057920 210293200 213930704 222828800 226310500 227344000 231741952 240896000 257128250 258822400 262866500 263299328 267413380 269175296 278536000 279808000 289677440 304439848 313164800 323528000 329124160 334266725 336469120 356526080 362096800 363750400 380549810 391456000 411405200 414115840 420586400 427861408 445657600 452621000 454688000 463483904 494714753 514256500 517644800 525733000 526598656 534826760 538350592 557072000 579354880 608879696 626329600 647056000 658248320 668533450 672938240 724193600 727500800 761099620 782912000 822810400 841172800 855722816 891315200 905242000 909376000 926967808 951374525 989429506 1028513000 1035289600 1051466000 1053197312 1069653520 1076701184 1114144000 1158709760 1217759392 1294112000 1316496640 1337066900 1345876480 1448387200 1522199240 1565824000 1645620800 1671333625 1682345600 1711445632 1782630400 1810484000 1818752000 1902749050 1978859012 2057026000 2070579200 2102932000 2106394624 2139307040 2228288000 2317419520 2435518784 2473573765 2588224000 2632993280 2674133800 2691752960 2896774400 3044398480 3131648000 3291241600 3342667250 3364691200 3422891264 3620968000 3637504000 3805498100 3957718024 4114052000 4205864000 4278614080 4456576000 4634839040 4756872625 4871037568 4947147530 5176448000 5265986560 5348267600 5383505920 5793548800 6088796960 6582483200 6685334500 6729382400 6845782528 7241936000 7610996200 7915436048 8228104000 8411728000 8557228160 8913152000 9513745250 9742075136 9894295060 10352896000 10531973120 10696535200 11587097600 12177593920 12367868825 13164966400 13370669000 13458764800 13691565056 14483872000 15221992400 15830872096 16456208000 16823456000 17114456320 19027490500 19484150272 19788590120 21393070400 23174195200 24355187840 24735737650 26329932800 26741338000 26917529600 27383130112 28967744000 30443984800 31661744192 32912416000 33646912000 34228912640 38054981000 38968300544 39577180240 42786140800 48710375680 49471475300 52659865600 53482676000 57935488000 60887969600 61839344125 63323488384 65824832000 67293824000 68457825280 76109962000 77936601088 79154360480 85572281600 97420751360 98942950600 106965352000 115870976000 121775939200 123678688250 126646976768 131649664000 134587648000 136915650560 152219924000 158308720960 171144563200 194841502720 197885901200 213930704000 243551878400 247357376500 253293953536 263299328000 304439848000 316617441920 342289126400 389683005440 395771802400 427861408000 487103756800 494714753000 506587907072 608879696000 633234883840 684578252800 791543604800 855722816000 974207513600 989429506000 1013175814144 1217759392000 1266469767680 1583087209600 1711445632000 1948415027200 1978859012000 2435518784000 2532939535360 3166174419200 3422891264000 3957718024000 4871037568000 5065879070720 6332348838400 7915436048000 9742075136000 12664697676800 15830872096000 25329395353600 31661744192000 63323488384000 126646976768000
• Sum of all divisors σ(n): 350234046227520
• Sum of proper divisors (its aliquot sum) s(n): 223587069459520
• 126646976768000 is an abundant number, because the sum of its proper divisors (223587069459520) is greater than itself. Its abundance is 96940092691520

Bases of 126646976768000

• Binary: 11100110010111101001100000011111110100000000000₂
• Hexadecimal: 0x732F4C0FE800
• Base-36: 18W4TG1FCW

Squares and roots of 126646976768000

• 126646976768000 squared (126646976768000²) is 16039456724474331725824000000
• 126646976768000 cubed (126646976768000³) is 2031348703155842067092757473656832000000000
• The square root of 126646976768000 is 11253753.8967226399
• The cube root of 126646976768000 is 50218.6394447085

Scales and comparisons

• 126,646,976,768,000 seconds is equal to 4,026,982 years, 6 weeks, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 126,646,976,768,000 would take you about ten million, sixty-seven thousand, four hundred fifty-five 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 126646976768000 cubic inches would be around 4184.9 feet tall.

Recreational maths with 126646976768000

• 126646976768000 backwards is 000867679646621
• The number of decimal digits it has is: 15
• The sum of 126646976768000's digits is 68
• More coming soon!