34312420113920
34,312,420,113,920 is an even composite number composed of six prime numbers multiplied together.
34312420113920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 34312420113920:
29 × 5 × 132 × 172 × 29 × 9463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 17 × 29 × 9463)See below for interesting mathematical facts about the number 34312420113920 from the Numbermatics database.
Names of 34312420113920
- Cardinal: 34312420113920 can be written as Thirty-four trillion, three hundred twelve billion, four hundred twenty million, one hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.431242011392 × 1013
Factors of 34312420113920
Divisors of 34312420113920
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 29 32 34 40 52 58 64 65 68 80 85 104 116 128 130 136 145 160 169 170 208 221 232 256 260 272 289 290 320 338 340 377 416 442 464 493 512 520 544 578 580 640 676 680 754 832 845 884 928 986 1040 1088 1105 1156 1160 1280 1352 1360 1445 1508 1664 1690 1768 1856 1885 1972 2080 2176 2210 2312 2320 2465 2560 2704 2720 2873 2890 3016 3328 3380 3536 3712 3757 3770 3944 4160 4352 4420 4624 4640 4901 4930 5408 5440 5746 5780 6032 6409 6656 6760 7072 7424 7514 7540 7888 8320 8381 8704 8840 9248 9280 9463 9802 9860 10816 10880 11492 11560 12064 12818 13520 14144 14365 14848 15028 15080 15776 16640 16762 17680 18496 18560 18785 18926 19604 19720 21632 21760 22984 23120 24128 24505 25636 27040 28288 28730 30056 30160 31552 32045 33280 33524 35360 36992 37120 37570 37852 39208 39440 41905 43264 43520 45968 46240 47315 48256 48841 49010 51272 54080 56576 57460 60112 60320 63104 64090 67048 70720 73984 74240 75140 75704 78416 78880 83317 83810 86528 91936 92480 94630 96512 97682 98020 102544 108160 108953 113152 114920 120224 120640 123019 126208 128180 134096 141440 147968 150280 151408 156832 157760 160871 166634 167620 183872 184960 189260 193024 195364 196040 205088 216320 217906 229840 240448 241280 244205 246038 252416 256360 268192 274427 282880 300560 302816 313664 315520 321742 333268 335240 367744 369920 378520 390728 392080 410176 416585 432640 435812 459680 480896 482560 488410 492076 512720 536384 544765 548854 565760 601120 605632 615095 627328 631040 643484 666536 670480 735488 739840 757040 781456 784160 804355 820352 833170 871624 919360 961792 965120 976820 984152 1025440 1072768 1089530 1097708 1202240 1211264 1230190 1254656 1262080 1286968 1333072 1340960 1372135 1416389 1470976 1514080 1562912 1568320 1599247 1608710 1640704 1666340 1743248 1838720 1923584 1953640 1968304 2050880 2091323 2145536 2179060 2195416 2404480 2422528 2460380 2509312 2573936 2666144 2681920 2734807 2744270 2832778 3028160 3125824 3136640 3198494 3217420 3281408 3332680 3486496 3567551 3677440 3907280 3936608 4101760 4182646 4291072 4358120 4390832 4665259 4808960 4845056 4920760 5147872 5332288 5363840 5469614 5488540 5665556 6056320 6251648 6273280 6396988 6434840 6665360 6972992 7081945 7135102 7354880 7814560 7873216 7996235 8203520 8365292 8716240 8781664 9330518 9617920 9841520 10295744 10456615 10664576 10727680 10939228 10977080 11331112 12112640 12503296 12546560 12793976 12869680 13330720 13674035 13945984 14163890 14270204 15629120 15746432 15992470 16407040 16730584 17432480 17563328 17837755 18661036 19683040 20591488 20913230 21329152 21455360 21878456 21954160 22662224 23326295 24225280 25006592 25587952 25739360 26661440 27187199 27348070 27891968 28327780 28540408 31258240 31492864 31984940 33461168 34864960 35126656 35552491 35675510 37322072 39366080 41182976 41826460 42658304 43756912 43908320 45324448 46378163 46652590 51175904 51478720 53322880 54374398 54696140 55783936 56655560 57080816 60648367 62516480 62985728 63969880 66922336 69729920 70253312 71104982 71351020 74644144 78732160 79309403 82365952 83652920 87513824 87816640 90648896 92756326 93305180 102351808 102957440 106645760 108748796 109392280 113311120 114161632 121296734 125032960 127939760 133844672 135935995 139459840 140506624 142209964 142702040 149288288 157464320 158618806 167305840 175027648 175633280 177762455 181297792 185512652 186610360 204703616 205914880 213291520 217497592 218784560 226622240 228323264 231890815 242593468 255879520 267689344 271871990 278919680 284419928 285404080 298576576 303241835 314928640 317237612 334611680 350055296 351266560 355524910 362595584 371025304 373220720 396547015 409407232 411829760 434995184 437569120 453244480 456646528 462182383 463781630 485186936 511759040 535378688 543743980 568839856 570808160 597153152 606483670 634475224 669223360 700110592 702533120 711049820 725191168 742050608 746441440 788428771 793094030 818814464 869990368 875138240 906488960 913293056 924364766 927563260 970373872 1023518080 1031022239 1070757376 1087487960 1137679712 1141616320 1194306304 1212967340 1268950448 1338446720 1400221184 1422099640 1484101216 1492882880 1576857542 1586188060 1739980736 1750276480 1812977920 1826586112 1848729532 1855126520 1940747744 2047036160 2062044478 2174975920 2275359424 2283232640 2310911915 2388612608 2425934680 2537900896 2676893440 2844199280 2968202432 2985765760 3153715084 3172376120 3479961472 3500552960 3625955840 3697459064 3710253040 3881495488 3942143855 4094072320 4124088956 4349951840 4550718848 4566465280 4621823830 4851869360 5075801792 5155111195 5353786880 5688398560 5936404864 5971531520 6307430168 6344752240 6959922944 7001105920 7394918128 7420506080 7762990976 7884287710 8248177912 8699903680 9101437696 9132930560 9243647660 9703738720 10151603584 10310222390 11376797120 11872809728 11943063040 12614860336 12689504480 13403289107 13919845888 14789836256 14841012160 15525981952 15768575420 16496355824 17399807360 18202875392 18487295320 19407477440 20303207168 20620444780 22753594240 23745619456 25229720672 25379008960 26806578214 29579672512 29682024320 31051963904 31537150840 32992711648 34799614720 36974590640 38814954880 40606414336 41240889560 45507188480 50459441344 50758017920 53613156428 59159345024 59364048640 63074301680 65985423296 67016445535 69599229440 73949181280 77629909760 82481779120 91014376960 100918882688 101516035840 107226312856 118318690048 118728097280 126148603360 131970846592 134032891070 147898362560 155259819520 164963558240 201837765376 203032071680 214452625712 236637380096 252297206720 263941693184 268065782140 295796725120 329927116480 403675530752 428905251424 504594413440 527883386368 536131564280 591593450240 659854232960 857810502848 1009188826880 1072263128560 1183186900480 1319708465920 1715621005696 2018377653760 2144526257120 2639416931840 3431242011392 4289052514240 6862484022784 8578105028480 17156210056960 34312420113920
- Sum of all divisors σ(n): 97906682633760
- Sum of proper divisors (its aliquot sum) s(n): 63594262519840
- 34312420113920 is an abundant number, because the sum of its proper divisors (63594262519840) is greater than itself. Its abundance is 29281842405920
Bases of 34312420113920
- Binary: 1111100110100111110111001110010111110000000002
- Hexadecimal: 0x1F34FB9CBE00
- Base-36: C5UWP0JY8
Squares and roots of 34312420113920
- 34312420113920 squared (343124201139202) is 1177342174074141785777766400
- 34312420113920 cubed (343124201139203) is 40397459294667884563682979614491148288000
-
The
square root of 34312420113920 is 5857680.4380163995 -
The
cube root of 34312420113920 is 32495.0430669353
Scales and comparisons
How big is 34312420113920?- 34,312,420,113,920 seconds is equal to 1,091,028 years, 42 weeks, 6 days, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 34,312,420,113,920 would take you about two million, seven hundred twenty-seven thousand, five hundred seventy-two 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 34312420113920 cubic inches would be around 2707.9 feet tall.
Recreational maths with 34312420113920
- 34312420113920 backwards is 02931102421343
- The number of decimal digits it has is: 14
- The sum of 34312420113920's digits is 35
- More coming soon!
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