130434564124800
130,434,564,124,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 130434564124800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
130434564124800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 130434564124800:
27 × 35 × 52 × 13 × 19 × 137 × 4957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 19 × 137 × 4957)See below for interesting mathematical facts about the number 130434564124800 from the Numbermatics database.
Names of 130434564124800
- Cardinal: 130434564124800 can be written as One hundred thirty trillion, four hundred thirty-four billion, five hundred sixty-four million, one hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.304345641248 × 1014
Factors of 130434564124800
Divisors of 130434564124800
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 64 65 72 75 76 78 80 81 90 95 96 100 104 108 114 117 120 128 130 135 137 144 150 152 156 160 162 171 180 190 192 195 200 208 216 225 228 234 240 243 247 260 270 274 285 288 300 304 312 320 324 325 342 351 360 380 384 390 400 405 411 416 432 450 456 468 475 480 486 494 513 520 540 548 570 576 585 600 608 624 640 648 650 675 684 685 702 720 741 760 780 800 810 822 832 855 864 900 912 936 950 960 972 975 988 1026 1040 1053 1080 1096 1140 1152 1170 1200 1215 1216 1233 1235 1248 1296 1300 1350 1368 1370 1404 1425 1440 1482 1520 1539 1560 1600 1620 1644 1664 1710 1728 1755 1781 1800 1824 1872 1900 1920 1944 1950 1976 2025 2052 2055 2080 2106 2160 2192 2223 2280 2340 2400 2430 2432 2466 2470 2496 2565 2592 2600 2603 2700 2736 2740 2808 2850 2880 2925 2964 3040 3078 3120 3159 3200 3240 3288 3420 3425 3456 3510 3562 3600 3648 3699 3705 3744 3800 3888 3900 3952 4050 4104 4110 4160 4212 4275 4320 4384 4446 4560 4617 4680 4800 4860 4932 4940 4957 4992 5130 5184 5200 5206 5265 5343 5400 5472 5480 5616 5700 5760 5850 5928 6075 6080 6156 6165 6175 6240 6318 6480 6576 6669 6840 6850 7020 7124 7200 7296 7398 7410 7488 7600 7695 7776 7800 7809 7904 8100 8208 8220 8320 8424 8550 8640 8768 8775 8892 8905 9120 9234 9360 9600 9720 9864 9880 9914 10260 10275 10368 10400 10412 10530 10686 10800 10944 10960 11097 11115 11232 11400 11700 11856 12150 12160 12312 12330 12350 12480 12636 12825 12960 13015 13152 13338 13680 13700 14040 14248 14400 14796 14820 14871 14976 15200 15390 15552 15600 15618 15795 15808 16029 16200 16416 16440 16848 17100 17280 17536 17550 17784 17810 18240 18468 18495 18525 18720 19440 19728 19760 19828 20007 20520 20550 20800 20824 21060 21372 21600 21888 21920 22194 22230 22464 22800 23085 23400 23427 23712 24300 24624 24660 24700 24785 24960 25272 25650 25920 26030 26304 26325 26676 26715 27360 27400 28080 28496 28800 29592 29640 29742 30400 30780 30825 31104 31200 31236 31590 31616 32058 32400 32832 32880 33291 33345 33696 33839 34200 35100 35568 35620 36480 36936 36990 37050 37440 38475 38880 39045 39456 39520 39656 40014 41040 41100 41600 41648 42120 42744 43200 43840 44388 44460 44525 44613 44928 45600 46170 46800 46854 47424 48087 48600 49248 49320 49400 49570 50544 51300 51840 52060 52608 52650 53352 53430 54720 54800 55485 55575 56160 56992 59184 59280 59484 60021 60800 61560 61650 62400 62472 63180 64116 64441 64800 65075 65664 65760 66582 66690 67392 67678 68400 70200 70281 71136 71240 73872 73980 74100 74355 74880 76950 77760 78090 78912 78975 79040 79312 80028 80145 82080 82200 83296 84240 85488 86400 87680 88776 88920 89050 89226 91200 92340 92475 93600 93708 94183 94848 96174 97200 98496 98640 98800 99140 100035 101088 101517 102600 104120 105300 106704 106860 109440 109600 110970 111150 112320 113984 115425 117135 118368 118560 118968 120042 123120 123300 123925 124800 124944 126360 128232 128882 129600 130150 131520 133164 133380 133575 133839 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15096593070 15255504576 15483685200 15677231265 15867951840 15891150600 16103032608 16502348700 16703107200 16722380016 16773992300 16950560640 17162442648 17419145850 17602505280 17631057600 17877544425 18115911684 18309175200 18580422240 19041542208 19069380720 19558339200 19834939800 20128790760 20644913600 20902975020 21123006336 21157269120 21188200800 21453053310 21470710144 22003131600 22296506688 22644889605 22883256864 23225527800 23801927760 23836725900 24154548912 24412233600 24773896320 25054660800 25083570024 25160988450 25425840960 26128718775 26313206400 26403757920 26446586400 26838387680 27173867526 27870633360 28250934400 28604071080 29337508800 29752409700 30193186140 30511009152 30967370400 31354462530 31735903680 31782301200 32206065216 33004697400 33444760032 33547984600 34324885296 34838291700 35205010560 35262115200 35755088850 36231823368 36618350400 37160844480 37741482675 38083084416 38138761440 39669879600 40257581520 40760801289 41289827200 41805950040 42376401600 42906106620 44006263200 44593013376 45289779210 45766513728 46451055600 47603855520 47673451800 48309097824 50109321600 50167140048 50321976900 50851681920 52257437550 52807515840 52893172800 53632633275 53676775360 54347735052 55741266720 57208142160 58675017600 59504819400 60386372280 61934740800 62708925060 63471807360 63564602400 64412130432 66009394800 66889520064 67095969200 67934668815 68649770592 69676583400 71510177700 72463646736 73236700800 74321688960 75482965350 76277522880 78386156325 79339759200 80515163040 81521602578 83611900080 84752803200 85812213240 88012526400 90579558420 91533027456 92902111200 95207711040 95346903600 96618195648 100334280096 100643953800 104514875100 105615031680 105786345600 107265266550 107353550720 108695470104 111482533440 113224448025 114416284320 119009638800 120772744560 123869481600 125417850120 127129204800 132018789600 133779040128 134191938400 135869337630 137299541184 139353166800 143020355400 144927293472 150965930700 152555045760 156772312650 158679518400 161030326080 163043205156 167223800160 171624426480 176025052800 181159116840 185804222400 190415422080 190693807200 193236391296 200668560192 201287907600 203804006445 209029750200 214530533100 217390940208 222965066880 226448896050 228832568640 238019277600 241545489120 250835700240 254258409600 264037579200 268383876800 271738675260 274599082368 278706333600 286040710800 289854586944 301931861400 313544625300 317359036800 322060652160 326086410312 334447600320 339673344075 343248852960 362318233680 371608444800 381387614400 401337120384 402575815200 407608012890 418059500400 429061066200 434781880416 452897792100 457665137280 476038555200 483090978240 501671400480 528075158400 536767753600 543477350520 557412667200 572081421600 579709173888 603863722800 627089250600 652172820624 668895200640 679346688150 686497705920 724636467360 762775228800 805151630400 815216025780 836119000800 858122132400 869563760832 905795584200 952077110400 966181956480 1003342800960 1019020032225 1086954701040 1114825334400 1144162843200 1207727445600 1254178501200 1304345641248 1358693376300 1372995411840 1449272934720 1610303260800 1630432051560 1672238001600 1716244264800 1739127521664 1811591168400 2006685601920 2038040064450 2173909402080 2288325686400 2415454891200 2508357002400 2608691282496 2717386752600 2898545869440 3260864103120 3344476003200 3432488529600 3623182336800 4076080128900 4347818804160 4830909782400 5016714004800 5217382564992 5434773505200 6521728206240 6864977059200 7246364673600 8152160257800 8695637608320 10033428009600 10869547010400 13043456412480 14492729347200 16304320515600 21739094020800 26086912824960 32608641031200 43478188041600 65217282062400 130434564124800
- Sum of all divisors σ(n): 551247836630400
- Sum of proper divisors (its aliquot sum) s(n): 420813272505600
- 130434564124800 is an abundant number, because the sum of its proper divisors (420813272505600) is greater than itself. Its abundance is 290378708380800
Bases of 130434564124800
- Binary: 111011010100001001010011101110001110000100000002
- Hexadecimal: 0x76A129DC7080
- Base-36: 1A8GT7RC00
Squares and roots of 130434564124800
- 130434564124800 squared (1304345641248002) is 17013175518426563189975040000
- 130434564124800 cubed (1304345641248003) is 2219106133124687040402478599391444992000000
-
The
square root of 130434564124800 is 11420795.2492284879 -
The
cube root of 130434564124800 is 50714.3539148747
Scales and comparisons
How big is 130434564124800?- 130,434,564,124,800 seconds is equal to 4,147,415 years, 35 weeks, 2 days.
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To count from 1 to 130,434,564,124,800 would take you about ten million, three hundred sixty-eight thousand, five hundred thirty-nine 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 130434564124800 cubic inches would be around 4226.2 feet tall.
Recreational maths with 130434564124800
- 130434564124800 backwards is 008421465434031
- 130434564124800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130434564124800's digits is 45
- More coming soon!
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"Number 130434564124800 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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The information we have on file for 130434564124800 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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