34097080971200
34,097,080,971,200 is an even composite number composed of seven prime numbers multiplied together.
34097080971200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 34097080971200:
26 × 52 × 13 × 29 × 53 × 139 × 7673
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 29 × 53 × 139 × 7673)See below for interesting mathematical facts about the number 34097080971200 from the Numbermatics database.
Names of 34097080971200
- Cardinal: 34097080971200 can be written as Thirty-four trillion, ninety-seven billion, eighty million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 3.40970809712 × 1013
Factors of 34097080971200
Divisors of 34097080971200
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 53 58 64 65 80 100 104 106 116 130 139 145 160 200 208 212 232 260 265 278 290 320 325 377 400 416 424 464 520 530 556 580 650 689 695 725 754 800 832 848 928 1040 1060 1112 1160 1300 1325 1378 1390 1450 1508 1537 1600 1696 1807 1856 1885 2080 2120 2224 2320 2600 2650 2756 2780 2900 3016 3074 3392 3445 3475 3614 3770 4031 4160 4240 4448 4640 5200 5300 5512 5560 5800 6032 6148 6890 6950 7228 7367 7540 7673 7685 8062 8480 8896 9035 9280 9425 10400 10600 11024 11120 11600 12064 12296 13780 13900 14456 14734 15080 15346 15370 16124 16960 17225 18070 18850 19981 20155 20800 21200 22048 22240 23200 24128 24592 27560 27800 28912 29468 30160 30692 30740 32248 34450 36140 36835 37700 38365 38425 39962 40310 42400 44096 44480 45175 46400 49184 52403 55120 55600 57824 58936 60320 61384 61480 64496 68900 72280 73670 75400 76730 76850 79924 80620 84800 90350 95771 98368 99749 99905 100775 104806 110240 111200 115648 117872 120640 122768 122960 128992 137800 144560 147340 150800 153460 153700 159848 161240 180700 184175 191542 191825 199498 199810 201550 209612 213643 220480 222400 222517 235744 245536 245920 257984 262015 275600 289120 294680 301600 306920 307400 319696 322480 361400 368350 383084 383650 398996 399620 403100 406669 419224 427286 445034 471488 478855 491072 491840 498745 499525 524030 551200 578240 589360 603200 613840 614800 639392 644960 722800 736700 766168 767300 797992 799240 806200 813338 838448 854572 890068 957710 997490 999050 1048060 1066547 1068215 1102400 1112585 1178720 1227680 1229600 1278784 1289920 1310075 1445600 1473400 1532336 1534600 1595984 1598480 1612400 1626676 1676896 1709144 1780136 1915420 1994980 1998100 2033345 2096120 2133094 2136430 2225170 2357440 2394275 2455360 2459200 2493725 2620150 2777359 2891200 2892721 2946800 3064672 3069200 3191968 3196960 3224800 3253352 3353792 3418288 3560272 3830840 3989960 3996200 4066690 4192240 4266188 4272860 4450340 4788550 4987450 5240300 5286697 5332735 5341075 5554718 5562925 5785442 5893600 6129344 6138400 6383936 6393920 6449600 6506704 6836576 7120544 7661680 7979920 7992400 8133380 8384480 8532376 8545720 8900680 9577100 9974900 10166725 10480600 10573394 10665470 10682150 11109436 11125850 11570884 11787200 11793401 12276800 13013408 13673152 13865111 13886795 14241088 14463605 15323360 15959840 15984800 16266760 16768960 17064752 17091440 17801360 19154200 19949800 20333450 20961200 21146788 21330940 21364300 22218872 22251700 23141768 23586802 26026816 26433485 26663675 27730222 27773590 28927210 30646720 30929863 31919680 31969600 32533520 34129504 34182880 35602720 38308400 39899600 40666900 41922400 42293576 42661880 42728600 44437744 44503400 46283536 47173604 52866970 53327350 55460444 55547180 56526991 57854420 58967005 61859726 65067040 68259008 68365760 69325555 69433975 71205440 72318025 76616800 79799200 81333800 83844800 84587152 85323760 85457200 88875488 89006800 92567072 94347208 105733940 106654700 110920888 111094360 113053982 115708840 117934010 123719452 130134080 132167425 138651110 138867950 144636050 153233600 153314213 154649315 159598400 162667600 169174304 170647520 170914400 177750976 178013600 185134144 188694416 211467880 213309400 221841776 222188720 226107964 231417680 235868020 247438904 264334850 277302220 277735900 282634955 289272100 294835025 306628426 309298630 325335200 338348608 341295040 341828800 346627775 356027200 377388832 402088219 422935760 426618800 443683552 444377440 452215928 462835360 471736040 494877808 528669700 554604440 555471800 565269910 578544200 589670050 613256852 618597260 650670400 693255550 734850883 754777664 766571065 773246575 804176438 845871520 853237600 887367104 888754880 904431856 925670720 943472080 989755616 1057339400 1109208880 1110943600 1130539820 1157088400 1179340100 1226513704 1237194520 1386511100 1413174775 1469701766 1533142130 1546493150 1608352876 1639282739 1691743040 1706475200 1808863712 1886944160 1979511232 2010441095 2114678800 2218417760 2221887200 2261079640 2314176800 2358680200 2453027408 2474389040 2773022200 2826349550 2939403532 3066284260 3092986300 3216705752 3278565478 3617727424 3674254415 3773888320 3832855325 4020882190 4229357600 4436835520 4443774400 4522159280 4628353600 4717360400 4906054816 4948778080 5546044400 5652699100 5878807064 6132568520 6185972600 6433411504 6557130956 7348508830 7665710650 8041764380 8196413695 8458715200 9044318560 9434720800 9812109632 9897556160 10052205475 11092088800 11305398200 11757614128 12265137040 12371945200 12866823008 13114261912 14697017660 15331421300 16083528760 16392827390 18088637120 18371272075 18869441600 20104410950 21310675607 22184177600 22610796400 23515228256 24530274080 24743890400 25733646016 26228523824 29394035320 30662842600 32167057520 32785654780 36742544150 40208821900 40982068475 42621351214 45221592800 47030456512 49060548160 49487780800 52457047648 58788070640 61325685200 64334115040 65571309560 73485088300 80417643800 81964136950 85242702428 90443185600 104914095296 106553378035 117576141280 122651370400 128668230080 131142619120 146970176600 160835287600 163928273900 170485404856 213106756070 235152282560 245302740800 262285238240 293940353200 321670575200 327856547800 340970809712 426213512140 524570476480 532766890175 587880706400 643341150400 655713095600 681941619424 852427024280 1065533780350 1175761412800 1311426191200 1363883238848 1704854048560 2131067560700 2622852382400 3409708097120 4262135121400 6819416194240 8524270242800 17048540485600 34097080971200
- Sum of all divisors σ(n): 95930850657600
- Sum of proper divisors (its aliquot sum) s(n): 61833769686400
- 34097080971200 is an abundant number, because the sum of its proper divisors (61833769686400) is greater than itself. Its abundance is 27736688715200
Bases of 34097080971200
- Binary: 1111100000010110110000110011000101111110000002
- Hexadecimal: 0x1F02D8662FC0
- Base-36: C33ZDNE0W
Squares and roots of 34097080971200
- 34097080971200 squared (340970809712002) is 1162610930756569135229440000
- 34097080971200 cubed (340970809712003) is 39641639044008934280228978170032128000000
-
The
square root of 34097080971200 is 5839270.5855440541 -
The
cube root of 34097080971200 is 32426.9225026261
Scales and comparisons
How big is 34097080971200?- 34,097,080,971,200 seconds is equal to 1,084,181 years, 36 weeks, 4 days, 20 hours, 53 minutes, 20 seconds.
-
To count from 1 to 34,097,080,971,200 would take you about two million, seven hundred ten thousand, four hundred fifty-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 34097080971200 cubic inches would be around 2702.2 feet tall.
Recreational maths with 34097080971200
- 34097080971200 backwards is 00217908079043
- 34097080971200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34097080971200's digits is 50
- More coming soon!
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