34053888900304

Names of 34053888900304

• Cardinal: 34053888900304 can be written as Thirty-four trillion, fifty-three billion, eight hundred eighty-eight million, nine hundred thousand, three hundred four.

Scientific notation

• Scientific notation: 3.4053888900304 × 10¹³

Factors of 34053888900304

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 694

Divisors of 34053888900304

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 34 49 52 56 67 68 91 98 104 112 119 131 134 136 182 196 208 221 238 262 268 272 343 364 392 442 457 469 476 524 536 637 686 728 784 833 871 884 914 917 938 952 1048 1072 1139 1274 1372 1456 1547 1666 1703 1742 1768 1828 1834 1876 1904 2096 2227 2278 2401 2548 2744 3094 3199 3283 3332 3406 3484 3536 3656 3668 3752 4454 4459 4556 4802 5096 5488 5831 5941 6097 6188 6398 6419 6566 6664 6812 6968 7312 7336 7504 7769 7973 8777 8908 8918 9112 9604 10192 10829 11662 11882 11921 12194 12376 12796 12838 13132 13328 13624 13936 14672 14807 15538 15589 15946 17554 17816 17836 18224 19208 21658 22393 22981 23324 23764 23842 24388 24752 25592 25676 26264 27248 28951 29614 30619 31076 31178 31213 31892 35108 35632 35672 38416 40817 41587 42679 43316 44786 44933 45962 46648 47528 47684 48776 51184 51352 52528 54383 55811 57902 59228 59867 61238 61439 62152 62356 62426 63784 70216 71344 75803 81634 83174 83447 85358 86632 89572 89866 91924 93296 95056 95368 97552 100997 102704 103649 108766 109123 111622 114101 115804 118456 119734 122476 122878 124304 124712 124852 127568 140432 149209 151606 156751 160867 163268 166348 166894 170716 173264 179144 179732 183848 190736 201994 202657 207298 214333 217532 218246 223244 228202 231608 236912 239468 244952 245756 249424 249704 291109 298418 298753 303212 313502 314531 321734 326536 332696 333788 341432 358288 359464 367696 380681 390677 398047 403988 405314 414596 419069 428666 430073 435064 436492 446488 456404 463216 478936 489904 491512 499408 520523 530621 582218 584129 596836 597506 606424 627004 629062 643468 653072 665392 667576 682864 706979 718928 725543 761362 763861 778271 781354 796094 798707 807976 810628 829192 838138 857332 860146 870128 872984 892976 912808 957872 983024 1017739 1041046 1044463 1061242 1097257 1164436 1168258 1193672 1195012 1212848 1254008 1258124 1286936 1335152 1413958 1418599 1451086 1500331 1522724 1527722 1556542 1562708 1592188 1597414 1615952 1621256 1658384 1676276 1714664 1720292 1745968 1825616 1939717 2035478 2037763 2082092 2088926 2091271 2122484 2194514 2328872 2336516 2387344 2390024 2508016 2516248 2573872 2664767 2734739 2786329 2827916 2837198 2902172 2933483 3000662 3010511 3045448 3055444 3113084 3125416 3184376 3194828 3242512 3352552 3429328 3440584 3643661 3879434 4011089 4070956 4075526 4088903 4164184 4177852 4182542 4244968 4389028 4657744 4673032 4780048 4948853 5032496 5078801 5329534 5347027 5447897 5469478 5572658 5590949 5655832 5674396 5804344 5866966 6001324 6021022 6090896 6110888 6226168 6250832 6368752 6389656 6705104 6766799 6881168 7124173 7287322 7311241 7758868 8022178 8141912 8151052 8177806 8328368 8355704 8365084 8489936 8778056 9346064 9897706 9930193 10157602 10502317 10659068 10694054 10895794 10938956 11145316 11181898 11311664 11348792 11608688 11733932 12002648 12042044 12221776 12452336 12779312 13230607 13533598 13578019 14248346 14264341 14574644 14622482 15517736 16044356 16283824 16302104 16355612 16711408 16730168 17556112 18653369 19504303 19795412 19860386 20315204 20534381 21004634 21073577 21318136 21388108 21791588 21877912 22290632 22363796 22697584 23467864 24005296 24084088 25505627 26461214 27067196 27156038 28077623 28496692 28528682 29149288 29244964 31035472 32088712 32604208 32711224 33460336 34641971 35551607 37306738 38135279 39008606 39136643 39590824 39720772 40630408 41068762 42009268 42147154 42636272 42776216 43583176 43755824 44581264 44727592 46935728 47367593 48168176 49869211 51011254 51178687 52144157 52922428 54134392 54312076 56155246 56993384 57057364 58298576 58489928 64177424 65422448 68188513 69283942 69511351 71103214 73516219 74613476 76270558 78017212 78273286 79181648 79441544 81260816 82137524 84018536 84294308 85552432 87166352 89455184 92614249 94735186 95046133 99738422 102022508 102357374 104288314 105844856 108268784 108624152 112310492 113986768 114114728 116979856 136377026 136530121 138567884 139022702 142206428 143740667 147032438 149226952 152541116 156034424 156546572 158883088 164275048 168037072 168588616 178539389 185228498 189470372 190092266 196543361 199476844 204045016 204714748 208576628 211689712 217248304 224620984 228229456 242493797 266946953 272754052 273060242 273956501 277135768 278045404 284412856 287481334 294064876 298453904 305082232 312068848 313093144 328550096 331573151 337177232 349084477 357078778 358250809 365009099 370456996 378940744 380184532 393086722 398953688 408090032 409429496 417153256 449241968 477319591 484987594 533893906 545508104 546120484 547913002 554271536 556090808 568825712 574962668 588129752 610164464 626186288 648299743 663146302 665322931 698168954 714157556 716501618 730018198 740913992 757881488 760369064 786173444 797907376 818858992 834306512 886450669 954639182 955710847 969975188 1067787812 1091016208 1092240968 1095826004 1112181616 1149925336 1176259504 1249775723 1296599486 1326292604 1330645862 1375803527 1396337908 1428315112 1433003236 1460036396 1481827984 1520738128 1572346888 1772901338 1868628671 1909278364 1911421694 1939950376 2135575624 2184481936 2191652008 2299850672 2321012057 2443591339 2499551446 2555063693 2593198972 2652585208 2661291724 2751607054 2792675816 2856630224 2866006472 2920072792 3144693776 3341237137 3545802676 3737257342 3818556728 3822843388 3879900752 4271151248 4383304016 4538098201 4642024114 4657260517 4887182678 4999102892 5110127386 5186397944 5305170416 5322583448 5503214108 5585351632 5732012944 5840145584 6205154683 6682474274 7091605352 7474514684 7637113456 7645686776 9076196402 9284048228 9314521034 9630624689 9774365356 9998205784 10220254772 10372795888 10645166896 11006428216 12410309366 13364948548 14183210704 14949029368 15291373552 16247084399 17885445851 18152392804 18568096456 18629042068 19261249378 19548730712 19996411568 20440509544 22012856432 23388659959 24820618732 26729897096 29898058736 31766687407 32494168798 35770891702 36304785608 37136192912 37258084136 38522498756 39097461424 40881019088 43436082781 46777319918 49641237464 53459794192 63533374814 64988337596 71541783404 72609571216 74516168272 77044997512 86872165562 93554639836 99282474928 125198120957 127066749628 129976675192 143083566808 154089995024 163720619713 173744331124 187109279672 250396241914 254133499256 259953350384 286167133616 304052579467 327441239426 347488662248 374218559344 500792483828 508266998512 608105158934 654882478852 694977324496 1001584967656 1216210317868 1309764957704 2003169935312 2128368056269 2432420635736 2619529915408 4256736112538 4864841271472 8513472225076 17026944450152 34053888900304
• Sum of all divisors σ(n): 89954659783296
• Sum of proper divisors (its aliquot sum) s(n): 55900770882992
• 34053888900304 is an abundant number, because the sum of its proper divisors (55900770882992) is greater than itself. Its abundance is 21846881982688

Bases of 34053888900304

• Binary: 111101111100011001001111100110111110011010000₂
• Hexadecimal: 0x1EF8C9F37CD0
• Base-36: C2K527ETS

Squares and roots of 34053888900304

• 34053888900304 squared (34053888900304²) is 1159667349234247974451292416
• 34053888900304 cubed (34053888900304³) is 39491183072133119471181561780109775294464
• The square root of 34053888900304 is 5835571.0003652599
• The cube root of 34053888900304 is 32413.2245779149

Scales and comparisons

• 34,053,888,900,304 seconds is equal to 1,082,808 years, 17 weeks, 1 day, 15 hours, 25 minutes, 4 seconds.
• To count from 1 to 34,053,888,900,304 would take you about two million, seven hundred seven thousand and twenty 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 34053888900304 cubic inches would be around 2701.1 feet tall.

Recreational maths with 34053888900304

• 34053888900304 backwards is 40300988835043
• The number of decimal digits it has is: 14
• The sum of 34053888900304's digits is 55
• More coming soon!