34009977402688

Names of 34009977402688

• Cardinal: 34009977402688 can be written as Thirty-four trillion, nine billion, nine hundred seventy-seven million, four hundred two thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 3.4009977402688 × 10¹³

Factors of 34009977402688

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 189

Divisors of 34009977402688

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 7 8 14 16 28 29 31 32 41 56 58 62 64 79 82 112 116 124 158 164 203 217 224 232 248 287 316 328 406 434 448 464 496 553 574 632 656 812 841 868 899 928 961 992 1106 1148 1189 1264 1271 1312 1624 1682 1736 1798 1856 1922 1984 2212 2291 2296 2378 2449 2528 2542 2624 3239 3248 3364 3472 3596 3844 4424 4582 4592 4756 4898 5056 5084 5887 6293 6478 6496 6727 6728 6944 7192 7688 8323 8848 8897 9164 9184 9512 9796 10168 11774 12586 12956 12992 13454 13456 13888 14384 15376 16037 16646 17143 17696 17794 18328 18368 19024 19592 20336 22673 23548 24389 25172 25912 26071 26908 26912 27869 28768 30752 32074 33292 34286 34481 35392 35588 36656 36859 38048 39184 39401 40672 45346 47096 48778 50344 51824 52142 53816 53824 55738 57536 61504 64148 66439 66584 68572 68962 71021 71176 73312 73718 75919 76096 78368 78802 81344 90692 93931 94192 97556 100409 100688 103648 104284 107632 111476 128296 132878 133168 137144 137924 142042 142352 146624 147436 151838 156736 157604 170723 181384 182497 187862 188384 195083 195112 200818 201376 207296 208568 215264 222952 241367 256592 258013 265756 266336 274288 275807 275848 284084 284704 294872 303676 315208 341446 362768 364994 375724 376768 390166 390224 401636 402752 417136 430528 445904 465073 482734 497147 513184 516026 531433 531512 532672 548576 551614 551696 568168 569408 589744 607352 630416 657517 682892 702863 725536 729988 751448 756059 780332 780448 803272 808201 834272 891808 930146 965468 994294 999949 1026368 1032052 1062866 1063024 1068911 1097152 1103228 1103392 1136336 1142629 1179488 1214704 1260832 1315034 1365784 1405726 1451072 1459976 1502896 1512118 1560664 1560896 1606544 1616402 1668544 1783616 1860292 1926731 1930936 1988588 1999898 2059609 2064104 2125732 2126048 2137822 2201651 2206456 2206784 2272672 2285258 2358976 2429408 2521664 2630068 2723999 2731568 2811452 2911861 2919952 3005792 3024236 3112679 3121328 3213088 3232804 3720584 3853462 3861872 3977176 3999796 4119218 4128208 4251464 4252096 4275644 4403302 4412912 4545344 4570516 4858816 5260136 5292413 5447998 5463136 5622904 5657407 5823722 5839904 6011584 6048472 6225358 6242656 6426176 6465608 6999643 7441168 7482377 7706924 7723744 7954352 7998403 7999592 8238436 8256416 8502928 8551288 8806604 8825824 9141032 10520272 10584826 10895996 10926272 11245808 11314814 11647444 11679808 12096944 12450716 12485312 12931216 13487117 13999286 14417263 14882336 14964754 15411557 15413848 15447488 15908704 15996806 15999184 16476872 16512832 17005856 17102576 17613208 17651648 18282064 19067993 20383027 21040544 21169652 21788753 21791992 22491616 22629628 23294888 23437829 24193888 24901432 25862432 26974234 27998572 28834526 29764672 29929508 30823114 30827696 30998419 31817408 31993612 31998368 32953744 33136241 34011712 34205152 35226416 36564128 38135986 40766054 42081088 42339304 43577506 43583984 44983232 45259256 46589776 46875658 48387776 49802864 51724864 53948468 55997144 57669052 59728661 59859016 61646228 61655392 61996838 63847879 63987224 63996736 65907488 66272482 68410304 70452832 73128256 76271972 78995971 81532108 84443969 84678608 87155012 87167968 90267691 90518512 93179552 93751316 99605728 107896936 111994288 115338104 119457322 119718032 123292456 123310784 123993676 127695758 127974448 131814976 132544964 140905664 152543944 157991942 163064216 164064803 168887938 169357216 174310024 174335936 180535382 181037024 186359104 187502632 199211456 215793872 216988933 223988576 230676208 231953687 238914644 239436064 246584912 247987352 255391516 255948896 265089928 305087888 315983884 326128432 328129606 337775876 338714432 348620048 361070764 362074048 375005264 418100627 431587744 433977866 446935153 447977152 461352416 463907374 477829288 478872128 493169824 495974704 510783032 511897792 530179856 552971797 591107783 610175776 631873837 631967768 652256864 656259212 675551752 697240096 722141528 750010528 836201254 863175488 867955732 893870306 922704832 927814748 955658576 960950989 986339648 991949408 1021566064 1060359712 1105943594 1182215566 1220351552 1263747674 1263935536 1304513728 1312518424 1351103504 1394480192 1444283056 1500021056 1672402508 1735911464 1787740612 1851588491 1855629496 1911317152 1921901978 1983898816 2043132128 2120719424 2211887188 2364431132 2448875101 2527495348 2527871072 2617763039 2625036848 2702207008 2888566112 3344805016 3471822928 3575481224 3703176982 3711258992 3822634304 3843803956 4086264256 4423774376 4728862264 4897750202 5054990696 5055742144 5235526078 5250073696 5404414016 5777132224 6689610032 6726656923 6943645856 7150962448 7406353964 7422517984 7687607912 8847548752 9457724528 9795500404 10109981392 10471052156 10500147392 12961119437 13379220064 13453313846 13887291712 14301924896 14812707928 14845035968 15375215824 17142125707 17695097504 18324341273 18915449056 19591000808 20219962784 20942104312 25922238874 26758440128 26906627692 28603849792 29625415856 30750431648 34284251414 35390195008 36648682546 37830898112 39182001616 40439925568 41884208624 51844477748 53813255384 59250831712 61500863296 68568502828 73297365092 75915128131 78364003232 83768417248 103688955496 107626510768 118501663424 137137005656 146594730184 151830256262 156728006464 167536834496 207377910992 215253021536 274274011312 293189460368 303660512524 414755821984 430506043072 531405896917 548548022624 586378920736 607321025048 829511643968 1062811793834 1097096045248 1172757841472 1214642050096 2125623587668 2429284100192 4251247175336 4858568200384 8502494350672 17004988701344 34009977402688
• Sum of all divisors σ(n): 85627956556800
• Sum of proper divisors (its aliquot sum) s(n): 51617979154112
• 34009977402688 is an abundant number, because the sum of its proper divisors (51617979154112) is greater than itself. Its abundance is 17608001751424

Bases of 34009977402688

• Binary: 111101110111010010000100111110011010101000000₂
• Hexadecimal: 0x1EEE909F3540
• Base-36: C1ZYUFMF4

Squares and roots of 34009977402688

• 34009977402688 squared (34009977402688²) is 1156678562931348398509625344
• 34009977402688 cubed (34009977402688³) is 39338611787468788761998016127101098524672
• The square root of 34009977402688 is 5831807.3873103869
• The cube root of 34009977402688 is 32399.2866157413

Scales and comparisons

• 34,009,977,402,688 seconds is equal to 1,081,412 years, 4 weeks, 1 day, 17 hours, 11 minutes, 28 seconds.
• To count from 1 to 34,009,977,402,688 would take you about two million, seven hundred three thousand, five hundred thirty 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 34009977402688 cubic inches would be around 2699.9 feet tall.

Recreational maths with 34009977402688

• 34009977402688 backwards is 88620477990043
• The number of decimal digits it has is: 14
• The sum of 34009977402688's digits is 67
• More coming soon!