34130677909680
34,130,677,909,680 is an even composite number composed of seven prime numbers multiplied together.
34130677909680 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 34130677909680:
24 × 33 × 5 × 11 × 29 × 1093 × 45319
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 29 × 1093 × 45319)See below for interesting mathematical facts about the number 34130677909680 from the Numbermatics database.
Names of 34130677909680
- Cardinal: 34130677909680 can be written as Thirty-four trillion, one hundred thirty billion, six hundred seventy-seven million, nine hundred nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 3.413067790968 × 1013
Factors of 34130677909680
Divisors of 34130677909680
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 33 36 40 44 45 48 54 55 58 60 66 72 80 87 88 90 99 108 110 116 120 132 135 144 145 165 174 176 180 198 216 220 232 240 261 264 270 290 297 319 330 348 360 396 432 435 440 464 495 522 528 540 580 594 638 660 696 720 783 792 870 880 957 990 1044 1080 1093 1160 1188 1276 1305 1320 1392 1485 1566 1584 1595 1740 1914 1980 2088 2160 2186 2320 2376 2552 2610 2640 2871 2970 3132 3190 3279 3480 3828 3915 3960 4176 4372 4752 4785 5104 5220 5465 5742 5940 6264 6380 6558 6960 7656 7830 7920 8613 8744 9570 9837 10440 10930 11484 11880 12023 12528 12760 13116 14355 15312 15660 16395 17226 17488 19140 19674 20880 21860 22968 23760 24046 25520 26232 28710 29511 31320 31697 32790 34452 36069 38280 39348 43065 43720 45319 45936 48092 49185 52464 57420 59022 60115 62640 63394 65580 68904 72138 76560 78696 86130 87440 90638 95091 96184 98370 108207 114840 118044 120230 126788 131160 135957 137808 144276 147555 157392 158485 172260 180345 181276 190182 192368 196740 216414 226595 229680 236088 240460 253576 262320 271914 285273 288552 295110 316970 324621 344520 348667 360690 362552 380364 393480 407871 432828 453190 472176 475455 480920 498509 507152 541035 543828 570546 577104 590220 633940 649242 679785 689040 697334 721380 725104 760728 786960 815742 855819 865656 906380 950910 961840 997018 1046001 1082070 1087656 1141092 1180440 1223613 1267880 1298484 1314251 1359570 1394668 1426365 1442760 1495527 1521456 1623105 1631484 1711638 1731312 1743335 1812760 1901820 1994036 2039355 2092002 2164140 2175312 2282184 2360880 2447226 2492545 2535760 2596968 2628502 2719140 2789336 2852730 2885520 2991054 3138003 3246210 3262968 3423276 3486670 3625520 3803640 3942753 3988072 4078710 4184004 4279095 4328280 4486581 4564368 4894452 4985090 5193936 5230005 5257004 5438280 5578672 5705460 5982108 6118065 6276006 6492420 6525936 6571255 6846552 6973340 7477635 7607280 7885506 7976144 8157420 8368008 8558190 8656560 8973162 9414009 9788904 9970180 10460010 10514008 10876560 11410920 11828259 11964216 12236130 12552012 12984840 13142510 13459743 13693104 13946680 14456761 14955270 15690015 15771012 16314840 16736016 17116380 17946324 18828018 19577808 19713765 19940360 20920020 21028016 22432905 22821840 23656518 23928432 24472260 25104024 25969680 26285020 26919486 27893360 28913522 29910540 31380030 31542024 32629680 34232760 35484777 35892648 37656036 39427530 39880720 41840040 43370283 44865810 47070045 47313036 48944520 49533667 50208048 52570040 53838972 57827044 59141295 59821080 62760060 63084048 67298715 68465520 70969554 71785296 72283805 75312072 78855060 83680080 86740566 89731620 94140090 94626072 97889040 99067334 105140080 107677944 115654088 118282590 119642160 125520120 130110849 134597430 141939108 144567610 148601001 150624144 157710120 173481132 177423885 179463240 188280180 189252144 198134668 215355888 216851415 231308176 236565180 247668335 251040240 260221698 269194860 283878216 289135220 297202002 315420240 346962264 354847770 358926480 376560360 390332547 396269336 433702830 445803003 473130360 495336670 520443396 538389720 544870337 567756432 578270440 594404004 650554245 693924528 709695540 743005005 753120720 780665094 792538672 867405660 891606006 946260720 990673340 1040886792 1076779440 1089740674 1156540880 1188808008 1301108490 1337409009 1419391080 1436476343 1486010010 1561330188 1634611011 1734811320 1783212012 1951662735 1981346680 2081773584 2179481348 2229015015 2377616016 2602216980 2674818018 2724351685 2838782160 2872952686 2972020020 3122660376 3269222022 3469622640 3566424024 3903325470 3962693360 4309429029 4358962696 4458030030 4903833033 5204433960 5349636036 5448703370 5745905372 5944040040 6245320752 6538444044 6687045045 7132848048 7182381715 7806650940 8173055055 8618858058 8717925392 8916060060 9807666066 10408867920 10699272072 10897406740 11491810744 11888080080 12928287087 13076888088 13374090090 14364763430 14711499099 15613301880 15801239773 16346110110 17237716116 17832120120 19615332132 21398544144 21547145145 21794813480 22983621488 24519165165 25856574174 26153776176 26748180180 28729526860 29422998198 31226603760 31602479546 32692220220 34475432232 35664240240 38784861261 39230664264 43094290290 43589626960 47403719319 49038330330 51713148348 53496360360 57459053720 58845996396 63204959092 64641435435 65384440440 68950864464 73557495495 77569722522 78461328528 79006198865 86188580580 94807438638 98076660660 103426296696 106992720720 114918107440 117691992792 126409918184 129282870870 130768880880 142211157957 147114990990 155139445044 158012397730 172377161160 189614877276 193924306305 196153321320 206852593392 235383985584 237018596595 252819836368 258565741740 284422315914 294229981980 310278890088 316024795460 344754322320 379229754552 387848612610 392306642640 426633473871 474037193190 517131483480 568844631828 588459963960 620557780176 632049590920 711055789785 758459509104 775697225220 853266947742 948074386380 1034262966960 1137689263656 1176919927920 1264099181840 1422111579570 1551394450440 1706533895484 1896148772760 2133167369355 2275378527312 2844223159140 3102788900880 3413067790968 3792297545520 4266334738710 5688446318280 6826135581936 8532669477420 11376892636560 17065338954840 34130677909680
- Sum of all divisors σ(n): 132795286272000
- Sum of proper divisors (its aliquot sum) s(n): 98664608362320
- 34130677909680 is an abundant number, because the sum of its proper divisors (98664608362320) is greater than itself. Its abundance is 64533930452640
Bases of 34130677909680
- Binary: 1111100001010101010101110111011001000101100002
- Hexadecimal: 0x1F0AAAEEC8B0
- Base-36: C3JF0EDO0
Squares and roots of 34130677909680
- 34130677909680 squared (341306779096802) is 1164903174574318334237702400
- 34130677909680 cubed (341306779096803) is 39758935047359791407810964125877919232000
-
The
square root of 34130677909680 is 5842146.6867650627 -
The
cube root of 34130677909680 is 32437.5694325435
Scales and comparisons
How big is 34130677909680?- 34,130,677,909,680 seconds is equal to 1,085,249 years, 51 weeks, 1 day, 7 hours, 48 minutes.
-
To count from 1 to 34,130,677,909,680 would take you about two million, seven hundred thirteen thousand, one hundred twenty-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 34130677909680 cubic inches would be around 2703.1 feet tall.
Recreational maths with 34130677909680
- 34130677909680 backwards is 08690977603143
- The number of decimal digits it has is: 14
- The sum of 34130677909680's digits is 63
- More coming soon!
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The information we have on file for 34130677909680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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