34838683332992

Names of 34838683332992

• Cardinal: 34838683332992 can be written as Thirty-four trillion, eight hundred thirty-eight billion, six hundred eighty-three million, three hundred thirty-two thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 3.4838683332992 × 10¹³

Factors of 34838683332992

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 43

Divisors of 34838683332992

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 23 28 32 44 46 49 56 64 77 88 92 98 112 121 128 154 161 176 184 196 224 242 253 308 322 343 352 368 392 448 484 506 529 539 616 644 686 704 736 784 847 896 968 1012 1058 1078 1127 1232 1288 1331 1372 1408 1472 1568 1694 1771 1936 2024 2116 2156 2254 2401 2464 2576 2662 2744 2783 2944 3136 3388 3542 3703 3773 3872 4048 4232 4312 4508 4802 4928 5152 5324 5488 5566 5819 5929 6272 6776 7084 7406 7546 7744 7889 8096 8464 8624 9016 9317 9604 9856 10304 10648 10976 11132 11638 11858 12167 12397 13552 14168 14812 15092 15488 15778 16192 16807 16928 17248 18032 18634 19208 19481 20608 21296 21952 22264 23276 23716 24334 24794 25921 26411 27104 28336 29624 30184 30613 31556 32384 33614 33856 34496 36064 37268 38416 38962 40733 41503 42592 43904 44528 46552 47432 48668 49588 51842 52822 54208 55223 56672 59248 60368 61226 63112 64009 65219 67228 67712 68992 72128 74536 76832 77924 81466 83006 85169 85184 86779 89056 93104 94864 97336 99176 103684 105644 108416 110446 113344 118496 120736 122452 126224 128018 130438 133837 134456 136367 144256 149072 153664 155848 162932 166012 170338 170368 173558 178112 181447 184877 186208 189728 194672 198352 207368 211288 214291 220892 226688 236992 241472 244904 252448 256036 260876 267674 268912 272734 285131 290521 298144 307328 311696 325864 332024 340676 347116 356224 362894 369754 372416 379456 386561 389344 396704 414736 422576 428582 441784 448063 456533 473984 482944 489808 504896 512072 521752 535348 537824 545468 570262 581042 596183 596288 607453 623392 651728 664048 681352 694232 704099 725788 739508 744832 758912 773122 778688 793408 829472 845152 857164 883568 896126 913066 936859 954569 979616 1009792 1024144 1043504 1070696 1075648 1090936 1140524 1162084 1192366 1192576 1214906 1246784 1270129 1303456 1328096 1362704 1388464 1408198 1451576 1472207 1479016 1500037 1546244 1557376 1586816 1658944 1690304 1714328 1767136 1792252 1826132 1873718 1909138 1959232 1995917 2033647 2048288 2087008 2141392 2151296 2181872 2281048 2324168 2384732 2429812 2493568 2540258 2606912 2656192 2725408 2776928 2816396 2903152 2944414 2958032 3000074 3092488 3136441 3195731 3317888 3380608 3428656 3534272 3584504 3652264 3747436 3818276 3918464 3991834 4067294 4096576 4173281 4174016 4252171 4282784 4363744 4562096 4648336 4769464 4859624 4928693 5080516 5213824 5312384 5450816 5553856 5632792 5806304 5888828 5916064 6000148 6184976 6272882 6391462 6558013 6681983 6857312 7068544 7169008 7304528 7494872 7636552 7983668 8134588 8193152 8346562 8348032 8504342 8565568 8727488 8890903 9124192 9296672 9538928 9719248 9857386 10161032 10305449 10500259 10901632 11107712 11265584 11612608 11777656 11832128 12000296 12369952 12545764 12782924 13116026 13363966 13714624 13971419 14338016 14609056 14989744 15273104 15967336 16194277 16269176 16693124 17008684 17131136 17454976 17781806 18248384 18593344 19077856 19438496 19714772 20322064 20610898 21000518 21955087 22370117 22531168 23225216 23555312 23664256 24000592 24739904 25091528 25565848 26232052 26727932 27429248 27942838 28676032 29212967 29218112 29979488 30546208 31934672 32388554 32538352 33386248 34017368 34500851 35563612 36496768 37186688 38155712 38876992 39429544 40644128 41221796 42001036 43910174 44740234 45062336 45906091 46773881 47110624 48001184 49479808 50183056 51131696 52464104 53455864 55885676 57352064 58425934 58436224 59958976 61092416 63869344 64777108 65076704 66772496 68034736 69001702 71127224 72138143 73501813 76311424 77753984 78859088 81288256 82443592 84002072 87820348 89480468 90124672 91812182 93547762 94221248 96002368 97799933 100366112 102263392 104928208 106911728 111771352 113359939 116851868 119917952 122184832 127738688 129554216 130153408 133544992 136069472 138003404 142254448 144276286 147003626 153685609 157718176 162576512 164887184 168004144 175640696 178960936 183624364 187095524 188442496 192004736 195599866 200732224 204490769 204526784 209856416 213823456 223542704 226719878 233703736 241505957 255477376 259108432 260306816 267089984 272138944 276006808 284508896 288552572 294007252 307371218 315436352 321342637 329774368 336008288 351281392 357921872 367248728 374191048 391199732 401464448 408981538 409053568 419712832 427646912 447085408 453439756 467407472 483011914 504967001 514512691 518216864 534179968 544277888 552013616 569017792 577105144 588014504 614742436 630872704 642685274 659548736 672016576 702562784 715843744 734497456 748382096 782399464 793519573 817963076 839425664 855293824 894170816 906879512 934814944 966023828 1009934002 1029025382 1036433728 1075799263 1104027232 1138035584 1154210288 1176029008 1229484872 1285370548 1319097472 1344033152 1405125568 1431687488 1468994912 1496764192 1564798928 1587039146 1635926152 1690541699 1788341632 1813759024 1869629888 1932047656 2019868004 2058050764 2072867456 2151598526 2208054464 2249398459 2308420576 2352058016 2458969744 2570741096 2810251136 2863374976 2937989824 2993528384 3129597856 3174078292 3271852304 3381083398 3534769007 3627518048 3739259776 3864095312 4039736008 4116101528 4303197052 4416108928 4498796918 4616841152 4704116032 4917939488 5141482192 5554637011 5875979648 5987056768 6259195712 6348156584 6543704608 6762166796 7069538014 7255036096 7728190624 8079472016 8232203056 8606394104 8997593836 9233682304 9408232064 9835878976 10282964384 11109274022 11833791893 12518391424 12696313168 13087409216 13524333592 14139076028 14510072192 15456381248 16158944032 16464406112 17212788208 17995187672 19671757952 20565928768 22218548044 23667583786 24743383049 25392626336 26174818432 27048667184 28278152056 30912762496 32317888064 32928812224 34425576416 35990375344 38882459077 41131857536 44437096088 47335167572 49486766098 50785252672 54097334368 56556304112 64635776128 65857624448 68851152832 71980750688 77764918154 88874192176 94670335144 98973532196 101570505344 108194668736 113112608224 137702305664 143961501376 155529836308 177748384352 189340670288 197947064392 216389337472 226225216448 272177213539 287923002752 311059672616 355496768704 378681340576 395894128784 452450432896 544354427078 622119345232 710993537408 757362681152 791788257568 1088708854156 1244238690464 1514725362304 1583576515136 2177417708312 2488477380928 3167153030272 4354835416624 4976954761856 8709670833248 17419341666496 34838683332992
• Sum of all divisors σ(n): 93111144883200
• Sum of proper divisors (its aliquot sum) s(n): 58272461550208
• 34838683332992 is an abundant number, because the sum of its proper divisors (58272461550208) is greater than itself. Its abundance is 23433778217216

Bases of 34838683332992

• Binary: 111111010111110000011010110000011000110000000₂
• Hexadecimal: 0x1FAF83583180
• Base-36: CCKO4JQM8

Squares and roots of 34838683332992

• 34838683332992 squared (34838683332992²) is 1213733856376494569955672064
• 34838683332992 cubed (34838683332992³) is 42284889472831887276428662928330863935488
• The square root of 34838683332992 is 5902430.2903966599
• The cube root of 34838683332992 is 32660.3306929421

Scales and comparisons

• 34,838,683,332,992 seconds is equal to 1,107,762 years, 19 weeks, 12 hours, 56 minutes, 32 seconds.
• To count from 1 to 34,838,683,332,992 would take you about two million, seven hundred sixty-nine thousand, four hundred 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 34838683332992 cubic inches would be around 2721.7 feet tall.

Recreational maths with 34838683332992

• 34838683332992 backwards is 29923338683843
• The number of decimal digits it has is: 14
• The sum of 34838683332992's digits is 71
• More coming soon!