34149041011680

Names of 34149041011680

• Cardinal: 34149041011680 can be written as Thirty-four trillion, one hundred forty-nine billion, forty-one million, eleven thousand, six hundred eighty.

Scientific notation

• Scientific notation: 3.414904101168 × 10¹³

Factors of 34149041011680

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 20568

Divisors of 34149041011680

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 79 80 84 96 98 105 112 120 140 147 158 160 168 196 210 224 237 240 245 280 294 316 336 392 395 420 474 480 490 553 560 588 632 672 735 784 790 840 941 948 980 1106 1120 1176 1185 1264 1470 1568 1580 1659 1680 1882 1896 1960 2212 2352 2370 2528 2765 2823 2940 3160 3318 3360 3764 3792 3871 3920 4424 4704 4705 4740 5530 5646 5880 6320 6587 6636 7528 7584 7742 7840 8295 8848 9410 9480 11060 11292 11613 11760 12640 13174 13272 14115 15056 15484 16590 17696 18820 18960 19355 19531 19761 22120 22584 23226 23520 26348 26544 28230 30112 30968 32935 33180 37640 37920 38710 39062 39522 44240 45168 46109 46452 52696 53088 56460 58065 58593 61936 65870 66360 74339 75280 77420 78124 79044 88480 90336 92218 92904 97655 98805 105392 112920 116130 117186 123872 131740 132720 136717 138327 148678 150560 154840 156248 158088 184436 185808 195310 197610 210784 223017 225840 230545 232260 234372 263480 265440 273434 276654 292965 297356 309680 312496 316176 368872 371616 371695 390620 395220 410151 446034 451680 461090 464520 468744 520373 526960 546868 553308 585930 594712 619360 624992 632352 683585 691635 737744 743390 781240 790440 820302 892068 922180 929040 937488 957019 1040746 1053920 1093736 1106616 1115085 1171860 1189424 1367170 1383270 1475488 1486780 1542949 1561119 1562480 1580880 1640604 1784136 1844360 1858080 1874976 1914038 2050755 2081492 2187472 2213232 2230170 2343720 2378848 2601865 2734340 2766540 2871057 2973560 3085898 3122238 3124960 3161760 3281208 3568272 3642611 3688720 3828076 4101510 4162984 4374944 4426464 4460340 4628847 4687440 4785095 5203730 5468680 5533080 5742114 5947120 6171796 6244476 6562416 7136544 7285222 7377440 7656152 7714745 7805595 8203020 8325968 8920680 9257694 9374880 9570190 10407460 10800643 10927833 10937360 11066160 11484228 11894240 12343592 12488952 13124832 14355285 14570444 15312304 15429490 15611190 16406040 16651936 17841360 18213055 18378671 18515388 19140380 20814920 21601286 21855666 21874720 22132320 22968456 23144235 24687184 24977904 28710570 29140888 30624608 30858980 31222380 32401929 32812080 35682720 36426110 36757342 37030776 38280760 41629840 43202572 43711332 45936912 46288470 49374368 49955808 54003215 54639165 55136013 57421140 58281776 61717960 62444760 64803858 65624160 72852220 73514684 74061552 75604501 76561520 83259680 86405144 87422664 91873824 91893355 92576940 108006430 109278330 110272026 114842280 116563552 123435920 124889520 128650697 129607716 145704440 147029368 148123104 151209002 153123040 162009645 172810288 174845328 183786710 185153880 216012860 218556660 220544052 226813503 229684560 246871840 249779040 257301394 259215432 275680065 291408880 294058736 302418004 324019290 345620576 349690656 367573420 370307760 378022505 385952091 432025720 437113320 441088104 453627006 459369120 514602788 518430864 551360130 582817760 588117472 604836008 643253485 648038580 735146840 740615520 756045010 771904182 864051440 874226640 882176208 900554879 907254012 1029205576 1036861728 1102720260 1134067515 1209672016 1286506970 1296077160 1451915009 1470293680 1512090020 1543808364 1728102880 1748453280 1764352416 1801109758 1814508024 1929760455 2058411152 2205440520 2268135030 2419344032 2573013940 2592154320 2701664637 2903830018 2940587360 3024180040 3087616728 3602219516 3629016048 3859520910 4116822304 4355745027 4410881040 4502774395 4536270060 5146027880 5184308640 5403329274 5807660036 6048360080 6175233456 7204439032 7258032096 7259575045 7719041820 8711490054 8821762080 9005548790 9072540120 10163405063 10292055760 10806658548 11615320072 12096720160 12350466912 13508323185 14408878064 14519150090 15438083640 17422980108 18011097580 18145080240 20326810126 20584111520 21613317096 21778725135 23230640144 27016646370 28817756128 29038300180 30490215189 30876167280 34845960216 36022195160 36290160480 40653620252 43226634192 43557450270 46461280288 50817025315 54033292740 58076600360 60980430378 61752334560 69691920432 71143835441 72044390320 81307240504 86453268384 87114900540 101634050630 108066585480 116153200720 121960860756 139383840864 142287670882 144088780640 152451075945 162614481008 174229801080 203268101260 213431506323 216133170960 232306401440 243921721512 284575341764 304902151890 325228962016 348459602160 355719177205 406536202520 426863012646 432266341920 487843443024 569150683528 609804303780 696919204320 711438354410 813072405040 853726025292 975686886048 1067157531615 1138301367056 1219608607560 1422876708820 1626144810080 1707452050584 2134315063230 2276602734112 2439217215120 2845753417640 3414904101168 4268630126460 4878434430240 5691506835280 6829808202336 8537260252920 11383013670560 17074520505840 34149041011680
• Sum of all divisors σ(n): 126856946119680
• Sum of proper divisors (its aliquot sum) s(n): 92707905108000
• 34149041011680 is an abundant number, because the sum of its proper divisors (92707905108000) is greater than itself. Its abundance is 58558864096320

Bases of 34149041011680

• Binary: 111110000111011110001011101010111101111100000₂
• Hexadecimal: 0x1F0EF1757BE0
• Base-36: C3RUPBDUO

Squares and roots of 34149041011680

• 34149041011680 squared (34149041011680²) is 1166157002017402597896422400
• 34149041011680 cubed (34149041011680³) is 39823143287950077812634704634348613632000
• The square root of 34149041011680 is 5843718.0811260907
• The cube root of 34149041011680 is 32443.3857795873

Scales and comparisons

• 34,149,041,011,680 seconds is equal to 1,085,833 years, 45 weeks, 3 days, 5 hours, 28 minutes.
• To count from 1 to 34,149,041,011,680 would take you about two million, seven hundred fourteen thousand, five hundred eighty-four 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 34149041011680 cubic inches would be around 2703.6 feet tall.

Recreational maths with 34149041011680

• 34149041011680 backwards is 08611014094143
• 34149041011680 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34149041011680's digits is 42
• More coming soon!