34068309094400
34,068,309,094,400 is an even composite number composed of six prime numbers multiplied together.
34068309094400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 34068309094400:
212 × 52 × 7 × 53 × 612 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 53 × 61 × 61 × 241)See below for interesting mathematical facts about the number 34068309094400 from the Numbermatics database.
Names of 34068309094400
- Cardinal: 34068309094400 can be written as Thirty-four trillion, sixty-eight billion, three hundred nine million, ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.40683090944 × 1013
Factors of 34068309094400
Divisors of 34068309094400
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 53 56 61 64 70 80 100 106 112 122 128 140 160 175 200 212 224 241 244 256 265 280 305 320 350 371 400 424 427 448 482 488 512 530 560 610 640 700 742 800 848 854 896 964 976 1024 1060 1120 1205 1220 1280 1325 1400 1484 1525 1600 1687 1696 1708 1792 1855 1928 1952 2048 2120 2135 2240 2410 2440 2560 2650 2800 2968 3050 3200 3233 3374 3392 3416 3584 3710 3721 3856 3904 4096 4240 4270 4480 4820 4880 5120 5300 5600 5936 6025 6100 6400 6466 6748 6784 6832 7168 7420 7442 7712 7808 8435 8480 8540 8960 9275 9640 9760 10240 10600 10675 11200 11872 12050 12200 12773 12800 12932 13496 13568 13664 14336 14701 14840 14884 15424 15616 16165 16870 16960 17080 17920 18550 18605 19280 19520 20480 21200 21350 22400 22631 23744 24100 24400 25546 25600 25864 26047 26992 27136 27328 28672 29402 29680 29768 30848 31232 32330 33740 33920 34160 35840 37100 37210 38560 39040 42175 42400 42700 44800 45262 47488 48200 48800 51092 51200 51728 52094 53984 54272 54656 58804 59360 59536 61696 62464 63865 64660 67480 67840 68320 71680 73505 74200 74420 77120 78080 80825 84350 84800 85400 89411 89600 90524 93025 94976 96400 97600 102184 102400 102907 103456 104188 107968 108544 109312 113155 117608 118720 119072 123392 124928 127730 129320 130235 134960 135680 136640 143360 147010 148400 148840 154240 156160 161650 168700 169600 170800 178822 179200 181048 186050 189952 192800 195200 197213 204368 205814 206912 208376 215936 217088 218624 226310 235216 237440 238144 246784 249856 255460 258640 260470 269920 271360 273280 294020 296800 297680 308480 312320 319325 323300 337400 339200 341600 357644 358400 362096 367525 372100 379904 385600 390400 394426 408736 411628 413824 416752 431872 437248 447055 452620 470432 474880 476288 493568 510920 514535 517280 520940 539840 542720 546560 565775 588040 593600 595360 616960 624640 638650 646600 651175 674800 678400 683200 715288 716800 724192 735050 744200 759808 771200 779153 780800 788852 817472 823256 827648 833504 863744 874496 894110 896761 905240 940864 949760 952576 986065 987136 1021840 1029070 1034560 1041880 1079680 1085440 1093120 1131550 1176080 1187200 1190720 1233920 1249280 1277300 1293200 1302350 1349600 1356800 1366400 1380491 1430576 1448384 1470100 1488400 1519616 1542400 1558306 1561600 1577704 1634944 1646512 1655296 1667008 1727488 1748992 1788220 1793522 1810480 1881728 1899520 1905152 1972130 2043680 2058140 2069120 2083760 2159360 2186240 2235275 2263100 2352160 2374400 2381440 2467840 2554600 2572675 2586400 2604700 2699200 2713600 2732800 2760982 2861152 2896768 2940200 2976800 3084800 3116612 3123200 3155408 3269888 3293024 3310592 3334016 3454976 3576440 3587044 3620960 3763456 3799040 3810304 3895765 3944260 4087360 4116280 4138240 4167520 4318720 4372480 4470550 4483805 4526200 4704320 4748800 4762880 4930325 4935680 5109200 5145350 5172800 5209400 5398400 5427200 5454071 5465600 5521964 5722304 5793536 5880400 5953600 6169600 6233224 6246400 6277327 6310816 6539776 6586048 6621184 6668032 6902455 6909952 7152880 7174088 7241920 7526912 7598080 7620608 7791530 7888520 8174720 8232560 8276480 8335040 8637440 8744960 8941100 8967610 9052400 9408640 9497600 9525760 9860650 10218400 10290700 10345600 10418800 10796800 10908142 10931200 11043928 11444608 11587072 11760800 11907200 12339200 12466448 12554654 12621632 13079552 13172096 13242368 13336064 13804910 14305760 14348176 14483840 15053824 15241216 15583060 15777040 16349440 16465120 16552960 16670080 17274880 17882200 17935220 18104800 18817280 18995200 19051520 19478825 19721300 20436800 20581400 20691200 20837600 21593600 21816284 21862400 22087856 22419025 22889216 23174144 23521600 23814400 24678400 24932896 25109308 25243264 26159104 26344192 26672128 27270355 27609820 28611520 28696352 28967680 30107648 31166120 31386635 31554080 32698880 32930240 33105920 33340160 34512275 34549760 35764400 35870440 36209600 37634560 37990400 38103040 38957650 39442600 40873600 41162800 41382400 41675200 43187200 43632568 43724800 44175712 44838050 45778432 46348288 47043200 47528333 47628800 49865792 50218616 50486528 52318208 52688384 53344256 54540710 55219640 57223040 57392704 57935360 60215296 62332240 62773270 63108160 65397760 65860480 66211840 66680320 69024550 71528800 71740880 72419200 75269120 76206080 77915300 78885200 81747200 82325600 82764800 83350400 86374400 87265136 88351424 89676100 91556864 92696576 94086400 95056666 95257600 99731584 100437232 100973056 105376768 106688512 109081420 110439280 114446080 114785408 115870720 124664480 125546540 126216320 130795520 131720960 133360640 136351775 138049100 143057600 143481760 144838400 150538240 155830600 156933175 157770400 163494400 164651200 165529600 166700800 172748800 174530272 176702848 179352200 183113728 188172800 190113332 190515200 199463168 200874464 201946112 210753536 218162840 220878560 228892160 229570816 231741440 237641665 249328960 251093080 252432640 261591040 263441920 266721280 272703550 276098200 286115200 286963520 289676800 301076480 311661200 313866350 315540800 326988800 329302400 331059200 332698331 333401600 349060544 353405696 358704400 366227456 376345600 380226664 381030400 398926336 401748928 403892224 421507072 436325680 441757120 457784320 459141632 463482880 475283330 498657920 502186160 504865280 526883840 533442560 545407100 552196400 572230400 573927040 579353600 623322400 627732700 631081600 653977600 658604800 665396662 666803200 698121088 706811392 717408800 752691200 760453328 797852672 803497856 807784448 872651360 883514240 915568640 918283264 950566660 997315840 1004372320 1009730560 1053767680 1090814200 1104392800 1144460800 1147854080 1158707200 1188208325 1246644800 1255465400 1262163200 1307955200 1317209600 1330793324 1333606400 1396242176 1413622784 1434817600 1505382400 1520906656 1595705344 1606995712 1663491655 1745302720 1767028480 1831137280 1836566528 1901133320 1994631680 2008744640 2019461120 2107535360 2181628400 2208785600 2288921600 2295708160 2317414400 2376416650 2493289600 2510930800 2524326400 2634419200 2661586648 2667212800 2792484352 2827245568 2869635200 3041813312 3191410688 3213991424 3326983310 3490605440 3534056960 3673133056 3802266640 3989263360 4017489280 4038922240 4363256800 4417571200 4577843200 4591416320 4752833300 4986579200 5021861600 5048652800 5268838400 5323173296 5584968704 5654491136 5739270400 6083626624 6427982848 6653966620 6981210880 7068113920 7604533280 7978526720 8034978560 8317458275 8726513600 8835142400 9155686400 9182832640 9505666600 9973158400 10043723200 10097305600 10537676800 10646346592 11169937408 11478540800 12167253248 12855965696 13307933240 13962421760 14136227840 15209066560 15957053440 16069957120 16634916550 17453027200 17670284800 18365665280 19011333200 19946316800 20087446400 20194611200 21292693184 22339874816 22957081600 24334506496 25711931392 26615866480 27924843520 28272455680 30418133120 32139914240 33269833100 34906054400 35340569600 38022666400 39892633600 40174892800 42585386368 45914163200 48669012992 53231732960 55849687040 60836266240 64279828480 66539666200 69812108800 70681139200 76045332800 79785267200 80349785600 85170772736 91828326400 97338025984 106463465920 111699374080 121672532480 128559656960 133079332400 139624217600 141362278400 152090665600 160699571200 170341545472 194676051968 212926931840 243345064960 266158664800 279248435200 304181331200 321399142400 340683090944 425853863680 486690129920 532317329600 558496870400 608362662400 642798284800 681366181888 851707727360 973380259840 1064634659200 1216725324800 1362732363776 1703415454720 2129269318400 2433450649600 3406830909440 4258538636800 4866901299200 6813661818880 8517077273600 17034154547200 34068309094400
- Sum of all divisors σ(n): 100423204101792
- Sum of proper divisors (its aliquot sum) s(n): 66354895007392
- 34068309094400 is an abundant number, because the sum of its proper divisors (66354895007392) is greater than itself. Its abundance is 32286585912992
Bases of 34068309094400
- Binary: 1111011111100001001010111011000110000000000002
- Hexadecimal: 0x1EFC25763000
- Base-36: C2QRJM7SW
Squares and roots of 34068309094400
- 34068309094400 squared (340683090944002) is 1160649684551577748111360000
- 34068309094400 cubed (340683090944003) is 39541372203621007381850918311952384000000
-
The
square root of 34068309094400 is 5836806.4122771795 -
The
cube root of 34068309094400 is 32417.7990826751
Scales and comparisons
How big is 34068309094400?- 34,068,309,094,400 seconds is equal to 1,083,266 years, 44 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 34,068,309,094,400 would take you about two million, seven hundred eight thousand, one hundred sixty-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 34068309094400 cubic inches would be around 2701.5 feet tall.
Recreational maths with 34068309094400
- 34068309094400 backwards is 00449090386043
- 34068309094400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34068309094400's digits is 50
- More coming soon!
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The information we have on file for 34068309094400 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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