345401911008

Names of 345401911008

• Cardinal: 345401911008 can be written as Three hundred forty-five billion, four hundred one million, nine hundred eleven thousand and eight.

Scientific notation

• Scientific notation: 3.45401911008 × 10¹¹

Factors of 345401911008

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 131

Divisors of 345401911008

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 37 42 44 48 49 56 63 66 71 72 74 77 84 88 96 98 99 111 112 121 126 132 142 144 147 148 154 168 176 196 198 213 222 224 231 242 252 259 264 284 288 294 296 308 333 336 343 352 363 392 396 407 426 441 444 462 484 497 504 518 528 539 568 588 592 616 639 666 672 686 693 726 777 781 784 792 814 847 852 882 888 924 968 994 1008 1029 1036 1056 1078 1089 1136 1176 1184 1221 1232 1278 1331 1332 1372 1386 1452 1491 1554 1562 1568 1584 1617 1628 1694 1704 1764 1776 1813 1848 1936 1988 2016 2058 2072 2156 2178 2272 2331 2343 2352 2442 2464 2541 2556 2627 2662 2664 2744 2772 2849 2904 2982 3087 3108 3124 3168 3234 3256 3388 3408 3479 3528 3552 3626 3663 3696 3773 3872 3976 3993 4116 4144 4312 4356 4473 4477 4662 4686 4704 4851 4884 5082 5112 5254 5324 5328 5439 5467 5488 5544 5698 5808 5929 5964 6174 6216 6248 6468 6512 6776 6816 6958 7029 7056 7252 7326 7392 7546 7623 7881 7952 7986 8232 8288 8547 8591 8624 8712 8946 8954 9317 9324 9372 9702 9768 10164 10224 10437 10508 10648 10656 10878 10934 10976 11088 11319 11396 11616 11858 11928 11979 12348 12432 12496 12691 12936 13024 13431 13552 13916 14058 14112 14504 14652 15092 15246 15762 15904 15972 16317 16401 16464 17094 17182 17248 17424 17787 17892 17908 18389 18634 18648 18744 19404 19536 19943 20328 20448 20874 21016 21296 21756 21868 22176 22638 22792 23643 23716 23856 23958 24353 24696 24864 24992 25382 25641 25773 25872 26862 27104 27832 27951 28116 28897 29008 29304 30184 30492 31311 31339 31524 31944 32634 32802 32928 33957 34188 34364 34848 35574 35784 35816 36778 37268 37296 37488 38073 38269 38808 39072 39886 40293 40656 41503 41748 42032 42592 43512 43736 45276 45584 47286 47432 47712 47916 48706 49203 49247 49392 50764 51282 51546 51744 53361 53724 55167 55664 55902 56232 57794 58016 58608 59829 60137 60368 60984 62622 62678 63048 63888 65219 65268 65604 67914 68376 68728 71148 71568 71632 73059 73556 74536 74592 74976 76146 76538 77319 77616 79772 80586 81312 83006 83496 83853 84064 86691 87024 87472 90552 91168 94017 94501 94572 94864 95832 97412 98406 98494 98784 101528 102564 103092 106722 107448 110334 111328 111804 112464 114219 114807 115588 117216 119658 120274 120736 121968 124509 125244 125356 126096 127776 128723 130438 130536 131208 135828 136752 137456 139601 142296 143136 143264 146118 147112 147741 149072 152292 153076 154638 155232 159544 161172 165501 166012 166992 167706 173382 174048 174944 179487 180411 181104 188034 189002 189144 189728 191664 194824 195657 196812 196988 202279 203056 205128 206184 213444 214896 219177 219373 220668 223608 224928 228438 229614 231176 239316 240548 243936 249018 250488 250712 252192 257446 260073 260876 261072 262416 267883 271656 273504 274912 279202 282051 283503 284592 292236 294224 295482 298144 304584 306152 309276 317867 319088 322344 331002 332024 333984 335412 344421 344729 346764 358974 360822 362208 373527 376068 378004 378288 383328 386169 389648 391314 393624 393976 404558 406112 410256 412368 418803 420959 426888 429792 438354 438746 441336 443223 447216 456533 456876 459228 462352 478632 481096 498036 500976 501424 514892 520146 521752 522144 524832 535766 541233 543312 558404 564102 567006 569184 584472 586971 588448 590964 606837 609168 612304 618552 635734 638176 644688 658119 661507 662004 664048 670824 688842 689458 693528 717948 721644 747054 752136 756008 756576 772338 779296 782628 787248 787952 803649 809116 820512 824736 837606 841918 850509 853776 876708 877492 882672 886446 894432 901061 913066 913752 918456 924704 953601 957264 962192 996072 1001952 1002848 1029784 1034187 1040292 1043504 1071532 1082466 1086624 1116808 1128204 1134012 1158507 1168944 1173942 1181928 1213674 1218336 1224608 1237104 1256409 1262877 1271468 1289376 1316238 1323014 1324008 1328096 1341648 1369599 1377684 1378916 1387056 1415953 1435896 1443288 1494108 1504272 1512016 1535611 1544676 1565256 1574496 1575904 1607298 1618232 1675212 1683836 1701018 1707552 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7091568 7208488 7239309 7282044 7304528 7577262 7628808 7897428 7938084 8109549 8217594 8273496 8322336 8495718 8572256 8659728 8840139 8900276 9025632 9072096 9213666 9261098 9268056 9391536 9643788 9652412 9709392 9911671 10051272 10103016 10171744 10489611 10529904 10584112 10812732 10956792 11021472 11031328 11327624 11443212 11786852 11907126 11952864 12284888 12357408 12410244 12743577 12858384 13350414 13401696 13470688 13608144 13820499 13891647 13986148 14183136 14416976 14478618 14564088 14609056 15154524 15257616 15575483 15794856 15876168 16219098 16435188 16546992 16891721 16991436 17319456 17680278 17800552 18427332 18522196 18536112 18783072 19287576 19304824 19418784 19823342 20025621 20102544 20206032 20979222 21059808 21168224 21625464 21717927 21913584 22655248 22886424 23573704 23814252 24475759 24569776 24820488 25487154 25716768 26520417 26700828 27216288 27640998 27783294 27972296 28833952 28957236 29128176 29735013 30309048 30515232 31150966 31468833 31589712 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3925021716 4111927512 4485739104 4667593392 4797248764 4864815648 5233362288 5482570016 6167891268 7049018592 7195873146 7850043432 8223855024 9335186784 9594497528 10466724576 10793809719 12335782536 14391746292 15700086864 16447710048 19188995056 21587619438 24671565072 28783492584 31400173728 38377990112 43175238876 49343130144 57566985168 86350477752 115133970336 172700955504 345401911008
• Sum of all divisors σ(n): 1312203110400
• Sum of proper divisors (its aliquot sum) s(n): 966801199392
• 345401911008 is an abundant number, because the sum of its proper divisors (966801199392) is greater than itself. Its abundance is 621399288384

Bases of 345401911008

• Binary: 101000001101011100011101110011011100000₂
• Hexadecimal: 0x506B8EE6E0
• Base-36: 4EOBDO80

Squares and roots of 345401911008

• 345401911008 squared (345401911008²) is 119302480127978351576064
• 345401911008 cubed (345401911008³) is 41207304624197667042026194270912512
• The square root of 345401911008 is 587709.0360101671
• The cube root of 345401911008 is 7016.3015383189

Scales and comparisons

• 345,401,911,008 seconds is equal to 10,982 years, 37 weeks, 7 hours, 16 minutes, 48 seconds.
• To count from 1 to 345,401,911,008 would take you about twenty-one thousand, nine hundred sixty-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 345401911008 cubic inches would be around 584.7 feet tall.

Recreational maths with 345401911008

• 345401911008 backwards is 800119104543
• 345401911008 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345401911008's digits is 36
• More coming soon!