34345077957120
34,345,077,957,120 is an even composite number composed of seven prime numbers multiplied together.
34345077957120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 34345077957120:
29 × 3 × 5 × 7 × 17 × 3121 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 3121 × 12041)See below for interesting mathematical facts about the number 34345077957120 from the Numbermatics database.
Names of 34345077957120
- Cardinal: 34345077957120 can be written as Thirty-four trillion, three hundred forty-five billion, seventy-seven million, nine hundred fifty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.434507795712 × 1013
Factors of 34345077957120
Divisors of 34345077957120
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 256 272 280 320 336 340 357 384 408 420 448 476 480 510 512 544 560 595 640 672 680 714 768 816 840 896 952 960 1020 1088 1120 1190 1280 1344 1360 1428 1536 1632 1680 1785 1792 1904 1920 2040 2176 2240 2380 2560 2688 2720 2856 3121 3264 3360 3570 3584 3808 3840 4080 4352 4480 4760 5376 5440 5712 6242 6528 6720 7140 7616 7680 8160 8704 8960 9363 9520 10752 10880 11424 12041 12484 13056 13440 14280 15232 15605 16320 17920 18726 19040 21760 21847 22848 24082 24968 26112 26880 28560 30464 31210 32640 36123 37452 38080 43520 43694 45696 46815 48164 49936 53057 53760 57120 60205 60928 62420 65280 65541 72246 74904 76160 84287 87388 91392 93630 96328 99872 106114 109235 114240 120410 124840 130560 131082 144492 149808 152320 159171 168574 174776 180615 182784 187260 192656 199744 204697 212228 218470 228480 240820 249680 252861 262164 265285 288984 299616 304640 318342 327705 337148 349552 361230 371399 374520 385312 399488 409394 421435 424456 436940 456960 481640 499360 505722 524328 530570 577968 599232 614091 636684 655410 674296 699104 722460 742798 749040 770624 795855 798976 818788 842870 848912 873880 913920 963280 998720 1011444 1023485 1048656 1061140 1114197 1155936 1198464 1228182 1264305 1273368 1310820 1348592 1398208 1432879 1444920 1485596 1498080 1541248 1591710 1597952 1637576 1685740 1697824 1747760 1856995 1926560 1997440 2022888 2046970 2097312 2122280 2228394 2311872 2396928 2456364 2528610 2546736 2621640 2697184 2796416 2865758 2889840 2971192 2996160 3070455 3082496 3183420 3275152 3371480 3395648 3495520 3713990 3853120 3994880 4045776 4093940 4194624 4244560 4298637 4456788 4623744 4793856 4912728 5057220 5093472 5243280 5394368 5570985 5592832 5731516 5779680 5942384 5992320 6140910 6164992 6366840 6550304 6742960 6791296 6991040 7164395 7427980 7706240 7989760 8091552 8187880 8389248 8489120 8597274 8913576 9247488 9825456 10114440 10186944 10486560 10788736 11141970 11185664 11463032 11559360 11884768 11984640 12281820 12733680 13100608 13485920 13582592 13982080 14328790 14855960 15412480 16183104 16375760 16778496 16978240 17194548 17827152 18494976 19650912 20228880 20373888 20973120 21493185 21577472 22283940 22926064 23118720 23769536 23969280 24563640 25467360 26201216 26971840 27165184 27964160 28657580 29711920 30824960 32366208 32751520 33556992 33956480 34389096 35654304 37579961 39301824 40457760 40747776 41946240 42986370 43154944 44567880 45852128 46237440 47539072 49127280 50934720 52402432 53943680 55928320 57315160 59423840 64732416 65503040 67912960 68778192 71308608 75159922 78603648 80915520 81495552 83892480 85972740 89135760 91704256 92474880 95078144 98254560 101869440 104804864 107887360 112739883 114630320 118847680 129464832 131006080 135825920 137556384 142617216 150319844 157207296 161831040 167784960 171945480 178271520 183408512 187899805 190156288 196509120 203738880 215774720 225479766 229260640 237695360 262012160 263059727 275112768 285234432 300639688 314414592 323662080 343890960 356543040 366817024 375799610 393018240 407477760 450959532 458521280 475390720 524024320 526119454 550225536 563699415 570468864 601279376 638859337 647324160 687781920 713086080 733634048 751599220 786036480 789179181 901919064 917042560 950781440 1052238908 1100451072 1127398830 1202558752 1277718674 1315298635 1375563840 1426172160 1503198440 1572072960 1578358362 1803838128 1834085120 1916578011 2104477816 2200902144 2254797660 2405117504 2555437348 2630597270 2751127680 2852344320 3006396880 3156716724 3194296685 3607676256 3668170240 3833156022 3945895905 4208955632 4472015359 4509595320 4810235008 5110874696 5261194540 5502255360 6012793760 6313433448 6388593370 7215352512 7666312044 7891791810 8417911264 8944030718 9019190640 9582890055 9620470016 10221749392 10522389080 11004510720 12025587520 12626866896 12777186740 13416046077 14430705024 15332624088 15783583620 16835822528 17888061436 18038381280 19165780110 19240940032 20443498784 21044778160 22360076795 24051175040 25253733792 25554373480 26832092154 28861410048 30665248176 31567167240 33671645056 35776122872 36076762560 38331560220 40886997568 42089556320 44720153590 48102350080 50507467584 51108746960 53664184308 57722820096 61330496352 63134334480 67080230385 67343290112 71552245744 72153525120 76663120440 81773995136 84179112640 89440307180 96204700160 101014935168 102217493920 107328368616 122660992704 126268668960 134160460770 134686580224 143104491488 144307050240 153326240880 163547990272 168358225280 178880614360 202029870336 204434987840 214656737232 245321985408 252537337920 268320921540 286208982976 288614100480 306652481760 327095980544 336716450560 357761228720 404059740672 408869975680 429313474464 490643970816 505074675840 536641843080 572417965952 613304963520 673432901120 715522457440 817739951360 858626948928 981287941632 1010149351680 1073283686160 1144835931904 1226609927040 1431044914880 1635479902720 1717253897856 2020298703360 2146567372320 2289671863808 2453219854080 2862089829760 3434507795712 4293134744640 4906439708160 5724179659520 6869015591424 8586269489280 11448359319040 17172538978560 34345077957120
- Sum of all divisors σ(n): 132917109760512
- Sum of proper divisors (its aliquot sum) s(n): 98572031803392
- 34345077957120 is an abundant number, because the sum of its proper divisors (98572031803392) is greater than itself. Its abundance is 64226953846272
Bases of 34345077957120
- Binary: 1111100111100100101100010101111100010000000002
- Hexadecimal: 0x1F3C962BE200
- Base-36: C69WSNH1C
Squares and roots of 34345077957120
- 34345077957120 squared (343450779571202) is 1179584379880650112558694400
- 34345077957120 cubed (343450779571203) is 40512917484001980597254861919646384128000
-
The
square root of 34345077957120 is 5860467.3838457629 -
The
cube root of 34345077957120 is 32505.3491651737
Scales and comparisons
How big is 34345077957120?- 34,345,077,957,120 seconds is equal to 1,092,067 years, 12 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 34,345,077,957,120 would take you about two million, seven hundred thirty thousand, one hundred sixty-eight 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 34345077957120 cubic inches would be around 2708.8 feet tall.
Recreational maths with 34345077957120
- 34345077957120 backwards is 02175977054343
- The number of decimal digits it has is: 14
- The sum of 34345077957120's digits is 57
- More coming soon!
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