34130076317400
34,130,076,317,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34130076317400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
34130076317400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 34130076317400:
23 × 3 × 52 × 7 × 239 × 5573 × 6101
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 239 × 5573 × 6101)See below for interesting mathematical facts about the number 34130076317400 from the Numbermatics database.
Names of 34130076317400
- Cardinal: 34130076317400 can be written as Thirty-four trillion, one hundred thirty billion, seventy-six million, three hundred seventeen thousand, four hundred.
Scientific notation
- Scientific notation: 3.41300763174 × 1013
Factors of 34130076317400
Divisors of 34130076317400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 239 280 300 350 420 478 525 600 700 717 840 956 1050 1195 1400 1434 1673 1912 2100 2390 2868 3346 3585 4200 4780 5019 5573 5736 5975 6101 6692 7170 8365 9560 10038 11146 11950 12202 13384 14340 16719 16730 17925 18303 20076 22292 23900 24404 25095 27865 28680 30505 33438 33460 35850 36606 39011 40152 41825 42707 44584 47800 48808 50190 55730 61010 66876 66920 71700 73212 78022 83595 83650 85414 91515 100380 111460 117033 122020 125475 128121 133752 139325 143400 146424 152525 156044 167190 167300 170828 183030 195055 200760 213535 222920 234066 244040 250950 256242 278650 305050 312088 334380 334600 341656 366060 390110 417975 427070 457575 468132 501900 512484 557300 585165 610100 640605 668760 732120 780220 835950 854140 915150 936264 975275 1003800 1024968 1067675 1114600 1170330 1220200 1281210 1331947 1458139 1560440 1671900 1708280 1830300 1950550 2135350 2340660 2562420 2663894 2916278 2925825 3203025 3343800 3660600 3901100 3995841 4270700 4374417 4681320 5124840 5327788 5832556 5851650 6406050 6659735 7290695 7802200 7991682 8541400 8748834 9323629 10206973 10655576 11665112 11703300 12812100 13319470 14581390 15983364 17497668 18647258 19979205 20413946 21872085 23406600 25624200 26638940 27970887 29162780 30620919 31966728 33298675 34000873 34995336 36453475 37294516 39958410 40827892 43744170 46618145 51034865 53277880 55941774 58325560 61241838 66597350 68001746 72906950 74589032 79916820 81655784 87488340 93236290 99896025 102002619 102069730 109360425 111883548 122483676 133194700 136003492 139854435 145813900 153104595 159833640 170004365 174976680 186472580 199792050 204005238 204139460 218720850 223767096 233090725 238006111 244967352 255174325 266389400 272006984 279708870 291627800 306209190 340008730 372945160 399584100 408010476 408278920 437441700 466181450 476012222 510013095 510348650 559417740 612418380 680017460 699272175 714018333 765522975 799168200 816020952 850021825 874883400 932362900 952024444 1020026190 1020697300 1118835480 1190030555 1224836760 1360034920 1398544350 1428036666 1531045950 1700043650 1864725800 1904048888 2040052380 2041394600 2380061110 2550065475 2797088700 2856073332 3062091900 3400087300 3570091665 4080104760 4760122220 5100130950 5594177400 5712146664 5950152775 6124183800 6800174600 7140183330 8126208647 9520244440 10200261900 11900305550 14280366660 16252417294 17850458325 20400523800 23800611100 24378625941 28560733320 32504834588 35700916650 40631043235 47601222200 48757251882 56883460529 65009669176 71401833300 81262086470 97514503764 113766921058 121893129705 142803666600 162524172940 170650381587 195029007528 203155216175 227533842116 243786259410 284417302645 325048345880 341300763174 406310432350 455067684232 487572518820 568834605290 609465648525 682601526348 812620864700 853251907935 975145037640 1137669210580 1218931297050 1365203052696 1422086513225 1625241729400 1706503815870 2275338421160 2437862594100 2844173026450 3413007631740 4266259539675 4875725188200 5688346052900 6826015263480 8532519079350 11376692105800 17065038158700 34130076317400
- Sum of all divisors σ(n): 121465611417600
- Sum of proper divisors (its aliquot sum) s(n): 87335535100200
- 34130076317400 is an abundant number, because the sum of its proper divisors (87335535100200) is greater than itself. Its abundance is 53205458782800
Bases of 34130076317400
- Binary: 1111100001010100001110001001100110110110110002
- Hexadecimal: 0x1F0A871336D8
- Base-36: C3J52863C
Squares and roots of 34130076317400
- 34130076317400 squared (341300763174002) is 1164862109431548345542760000
- 34130076317400 cubed (341300763174003) is 39756832694146295364622104925032024000000
-
The
square root of 34130076317400 is 5842095.1992756845 -
The
cube root of 34130076317400 is 32437.3788483223
Scales and comparisons
How big is 34130076317400?- 34,130,076,317,400 seconds is equal to 1,085,230 years, 44 weeks, 3 days, 10 hours, 50 minutes.
-
To count from 1 to 34,130,076,317,400 would take you about two million, seven hundred thirteen thousand and seventy-seven 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 34130076317400 cubic inches would be around 2703.1 feet tall.
Recreational maths with 34130076317400
- 34130076317400 backwards is 00471367003143
- The number of decimal digits it has is: 14
- The sum of 34130076317400's digits is 39
- More coming soon!
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