34142213401344
34,142,213,401,344 is an even composite number composed of five prime numbers multiplied together.
34142213401344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 34142213401344:
28 × 37 × 23 × 313 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 31 × 31 × 31 × 89)See below for interesting mathematical facts about the number 34142213401344 from the Numbermatics database.
Names of 34142213401344
- Cardinal: 34142213401344 can be written as Thirty-four trillion, one hundred forty-two billion, two hundred thirteen million, four hundred one thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 3.4142213401344 × 1013
Factors of 34142213401344
Divisors of 34142213401344
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 48 54 62 64 69 72 81 89 92 93 96 108 124 128 138 144 162 178 184 186 192 207 216 243 248 256 267 276 279 288 324 356 368 372 384 414 432 486 496 534 552 558 576 621 648 712 713 729 736 744 768 801 828 837 864 961 972 992 1068 1104 1116 1152 1242 1296 1424 1426 1458 1472 1488 1602 1656 1674 1728 1863 1922 1944 1984 2047 2136 2139 2187 2208 2232 2304 2403 2484 2511 2592 2759 2848 2852 2883 2916 2944 2976 3204 3312 3348 3456 3726 3844 3888 3968 4094 4272 4278 4374 4416 4464 4806 4968 5022 5184 5518 5589 5696 5704 5766 5832 5888 5952 6141 6408 6417 6624 6696 6912 7209 7452 7533 7688 7776 7936 8188 8277 8544 8556 8649 8748 8832 8928 9612 9936 10044 10368 11036 11178 11392 11408 11532 11664 11904 12282 12816 12834 13248 13392 14418 14904 15066 15376 15552 16376 16554 16767 17088 17112 17298 17496 17664 17856 18423 19224 19251 19872 20088 20736 21627 22072 22103 22356 22599 22784 22816 23064 23328 23808 24564 24831 25632 25668 25947 26496 26784 28836 29791 29808 30132 30752 31104 32752 33108 33534 34176 34224 34596 34992 35712 36846 38448 38502 39744 40176 43254 44144 44206 44712 45198 45632 46128 46656 49128 49662 50301 51264 51336 51894 52992 53568 55269 57672 57753 59582 59616 60264 61504 62208 63457 64881 65504 66216 66309 67068 67797 68352 68448 69192 69984 71424 73692 74493 76896 77004 77841 79488 80352 85529 86508 88288 88412 89373 89424 90396 91264 92256 93312 98256 99324 100602 102528 102672 103788 107136 110538 115344 115506 119164 119232 120528 123008 126914 129762 131008 132432 132618 134136 135594 136896 138384 139968 147384 148986 153792 154008 155682 158976 160704 165807 171058 173016 173259 176576 176824 178746 178848 180792 182528 184512 186624 190371 194643 196512 198648 198927 201204 205056 205344 207576 214272 221076 223479 230688 231012 233523 238328 238464 241056 246016 253828 256587 259524 262016 264864 265236 268119 268272 271188 273792 276768 279936 294768 297972 307584 308016 311364 321408 331614 342116 346032 346518 353152 353648 357492 357696 361584 369024 380742 389286 393024 397296 397854 402408 410688 415152 442152 446958 461376 462024 467046 476656 476928 482112 497421 507656 513174 519048 519777 524032 529728 530472 536238 536544 542376 547584 553536 559872 571113 589536 595944 596781 615168 616032 622728 642816 663228 670437 684232 685193 692064 693036 700569 706304 707296 714984 715392 723168 738048 761484 769761 778572 786048 794592 795708 804357 804816 821376 830304 884304 893916 922752 924048 934092 953312 964224 994842 1015312 1026348 1038096 1039554 1059456 1060944 1072476 1073088 1084752 1107072 1142226 1179072 1191888 1193562 1232064 1245456 1326456 1340874 1368464 1370386 1384128 1386072 1401138 1414592 1429968 1430784 1446336 1492263 1522968 1539522 1557144 1559331 1572096 1589184 1591416 1608714 1609632 1642752 1660608 1713339 1768608 1787832 1790343 1845504 1848096 1868184 1906624 1928448 1967167 1989684 2011311 2030624 2052696 2055579 2076192 2079108 2101707 2118912 2121888 2144952 2146176 2169504 2214144 2284452 2309283 2358144 2383776 2387124 2413071 2464128 2490912 2651399 2652912 2681748 2736928 2740772 2768256 2772144 2802276 2829184 2859936 2892672 2984526 3045936 3079044 3114288 3118662 3178368 3182832 3217428 3219264 3321216 3426678 3537216 3575664 3580686 3696192 3736368 3813248 3934334 3979368 4022622 4061248 4105392 4111158 4152384 4158216 4203414 4243776 4289904 4292352 4339008 4476789 4568904 4618566 4716288 4767552 4774248 4826142 4928256 4981824 5140017 5302798 5305824 5363496 5371029 5473856 5481544 5536512 5544288 5604552 5658368 5719872 5785344 5901501 5969052 6033933 6091872 6158088 6166737 6228576 6237324 6356736 6365664 6434856 6438528 6642432 6853356 6927849 7074432 7151328 7161372 7239213 7392384 7472736 7626496 7868668 7954197 7958736 8045244 8122496 8210784 8222316 8304768 8316432 8406828 8487552 8579808 8678016 8953578 9137808 9237132 9535104 9548496 9652284 9963648 10280034 10605596 10611648 10726992 10742058 10947712 10963088 11088576 11209104 11439744 11803002 11938104 12067866 12183744 12316176 12333474 12457152 12474648 12731328 12869712 12877056 13706712 13855698 14148864 14302656 14322744 14478426 14784768 14945472 15420051 15737336 15908394 15917472 16090488 16113087 16244992 16421568 16444632 16609536 16632864 16813656 16975104 17159616 17356032 17704503 17907156 18275616 18474264 18500211 19070208 19096992 19304568 19927296 20560068 20783547 21211192 21223296 21453984 21484116 21717639 21895424 21926176 22177152 22418208 22879488 23606004 23862591 23876208 24135732 24367488 24632352 24666948 24914304 24949296 25462656 25739424 27413424 27711396 28605312 28645488 28956852 29890944 30840102 31474672 31816788 31834944 32180976 32226174 32843136 32889264 33265728 33627312 34319232 35409006 35814312 36551232 36948528 37000422 38193984 38609136 41120136 41567094 42422384 42446592 42907968 42968232 43435278 43852352 44354304 44836416 46260153 47212008 47725182 47752416 48271464 48339261 48734976 49264704 49333896 49828608 49898592 50925312 51478848 53113509 54826848 55422792 55500633 57210624 57290976 57913704 59781888 60982177 61680204 62350641 62949344 63633576 63669888 64361952 64452348 65152917 65686272 65778528 66531456 67254624 68638464 70818012 71587773 71628624 73102464 73897056 74000844 76387968 77218272 82240272 83134188 84844768 85815936 85936464 86870556 87704704 89672832 92520306 94424016 95450364 95504832 96542928 96678522 98529408 98667792 99797184 102957696 106227018 109653696 110845584 111001266 114581952 115827408 121964354 123360408 124701282 125898688 127267152 127339776 128723904 128904696 130305834 131557056 133062912 134509248 138780459 141636024 143175546 143257248 146204928 147794112 148001688 152775936 154436544 159340527 164480544 166268376 166501899 169689536 171631872 171872928 173741112 175409408 179345664 182946531 185040612 187051923 188848032 190900728 191009664 193085856 193357044 197058816 197335584 199594368 205915392 212454036 214763319 219307392 221691168 222002532 229163904 231654816 243928708 246720816 249402564 251797376 254534304 257447808 257809392 260611668 263114112 269018496 277560918 283272048 286351092 286514496 295588224 296003376 308873088 318681054 328961088 332536752 333003798 339379072 343745856 347482224 365893062 370081224 374103846 377696064 381801456 382019328 386171712 386714088 394671168 399188736 424908072 429526638 438614784 443382336 444005064 458327808 463309632 478021581 487857416 493441632 498805128 499505697 503594752 509068608 514895616 515618784 521223336 526228224 538036992 548839593 555121836 566544096 572702184 573028992 591176448 592006752 617746176 637362108 644289957 657922176 665073504 666007596 678758144 687491712 694964448 731786124 740162448 748207692 755392128 763602912 772343424 773428176 789342336 849816144 859053276 886764672 888010128 926619264 956043162 975714832 986883264 997610256 999011394 1018137216 1031237568 1042446672 1097679186 1110243672 1133088192 1145404368 1146057984 1184013504 1274724216 1288579914 1315844352 1330147008 1332015192 1374983424 1389928896 1434064743 1463572248 1480324896 1496415384 1498517091 1510784256 1527205824 1544686848 1546856352 1578684672 1646518779 1699632288 1718106552 1773529344 1776020256 1853238528 1912086324 1932869871 1951429664 1973766528 1995220512 1998022788 2036274432 2062475136 2084893344 2195358372 2220487344 2266176384 2290808736 2368027008 2549448432 2577159828 2660294016 2664030384 2779857792 2868129486 2927144496 2960649792 2992830768 2997034182 3054411648 3093712704 3293037558 3399264576 3436213104 3552040512 3824172648 3865739742 3902859328 3947533056 3990441024 3996045576 4124950272 4169786688 4302194229 4390716744 4440974688 4532352768 4581617472 4736054016 4939556337 5098896864 5154319656 5320588032 5328060768 5559715584 5736258972 5798609613 5854288992 5921299584 5985661536 5994068364 6108823296 6187425408 6586075116 6798529152 6872426208 7104081024 7648345296 7731479484 7805718656 7980882048 7992091152 8339573376 8604388458 8781433488 8881949376 9163234944 9879112674 10197793728 10308639312 10656121536 11472517944 11597219226 11708577984 11842599168 11971323072 11988136728 12374850816 13172150232 13597058304 13744852416 14208162048 14818669011 15296690592 15462958968 15611437312 15961764096 15984182304 16679146752 17208776916 17562866976 17763898752 18326469888 19758225348 20395587456 20617278624 21312243072 22945035888 23194438452 23417155968 23942646144 23976273456 26344300464 27489704832 29637338022 30593381184 30925917936 31968364608 34417553832 35125733952 35527797504 39516450696 40791174912 41234557248 42624486144 44456007033 45890071776 46388876904 46834311936 47885292288 47952546912 52688600928 54979409664 59274676044 61186762368 61851835872 63936729216 68835107664 70251467904 79032901392 82469114496 88912014066 91780143552 92777753808 95905093824 105377201856 118549352088 122373524736 123703671744 127873458432 133368021099 137670215328 140502935808 158065802784 164938228992 177824028132 183560287104 185555507616 191810187648 210754403712 237098704176 247407343488 266736042198 275340430656 316131605568 355648056264 367120574208 371111015232 383620375296 421508807424 474197408352 494814686976 533472084396 550680861312 632263211136 711296112528 742222030464 948394816704 1066944168792 1101361722624 1264526422272 1422592225056 1484444060928 1896789633408 2133888337584 2845184450112 3793579266816 4267776675168 5690368900224 8535553350336 11380737800448 17071106700672 34142213401344
- Sum of all divisors σ(n): 111448324915200
- Sum of proper divisors (its aliquot sum) s(n): 77306111513856
- 34142213401344 is an abundant number, because the sum of its proper divisors (77306111513856) is greater than itself. Its abundance is 43163898112512
Bases of 34142213401344
- Binary: 1111100001101010110101000000001101011000000002
- Hexadecimal: 0x1F0D5A806B00
- Base-36: C3OPSC000
Squares and roots of 34142213401344
- 34142213401344 squared (341422134013442) is 1165690735942913829621006336
- 34142213401344 cubed (341422134013443) is 39799261866532702537838915633474734915584
-
The
square root of 34142213401344 is 5843133.8681690327 -
The
cube root of 34142213401344 is 32441.2234391157
Scales and comparisons
How big is 34142213401344?- 34,142,213,401,344 seconds is equal to 1,085,616 years, 40 weeks, 2 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 34,142,213,401,344 would take you about two million, seven hundred fourteen thousand and forty-one 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 34142213401344 cubic inches would be around 2703.4 feet tall.
Recreational maths with 34142213401344
- 34142213401344 backwards is 44310431224143
- 34142213401344 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34142213401344's digits is 36
- More coming soon!
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The information we have on file for 34142213401344 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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