470504412028631071104
470,504,412,028,631,071,104 is an even composite number composed of five prime numbers multiplied together.
470504412028631071104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 470504412028631071104:
27 × 3 × 132 × 376 × 414
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 37 × 37 × 37 × 37 × 37 × 37 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 470504412028631071104 from the Numbermatics database.
Names of 470504412028631071104
- Cardinal: 470504412028631071104 can be written as Four hundred seventy quintillion, five hundred four quadrillion, four hundred twelve trillion, twenty-eight billion, six hundred thirty-one million, seventy-one thousand, one hundred four.
Scientific notation
- Scientific notation: 4.70504412028631071104 × 1020
Factors of 470504412028631071104
Divisors of 470504412028631071104
- Number of divisors d(n): 1680
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 37 39 41 48 52 64 74 78 82 96 104 111 123 128 148 156 164 169 192 208 222 246 296 312 328 338 384 416 444 481 492 507 533 592 624 656 676 832 888 962 984 1014 1066 1184 1248 1312 1352 1369 1443 1517 1599 1664 1681 1776 1924 1968 2028 2132 2368 2496 2624 2704 2738 2886 3034 3198 3362 3552 3848 3936 4056 4107 4264 4551 4736 4992 5043 5248 5408 5476 5772 6068 6253 6396 6724 6929 7104 7696 7872 8112 8214 8528 9102 10086 10816 10952 11544 12136 12506 12792 13448 13858 14208 15392 15744 16224 16428 17056 17797 18204 18759 19721 20172 20787 21632 21853 21904 23088 24272 25012 25584 26896 27716 30784 32448 32856 34112 35594 36408 37518 39442 40344 41574 43706 43808 46176 48544 50024 50653 51168 53391 53792 55432 56129 59163 61568 62197 64896 65559 65712 68224 68921 71188 72816 75036 78884 80688 83148 87412 87616 92352 97088 100048 101306 102336 106782 107584 110864 112258 118326 124394 131118 131424 137842 142376 145632 150072 151959 157768 161376 166296 168387 174824 175232 184704 186591 194176 200096 202612 204672 206763 213564 215168 221728 224516 231361 236652 248788 256373 262236 262848 275684 284089 284752 291264 300144 303918 315536 322752 332592 336774 349648 373182 400192 405224 413526 427128 443456 449032 462722 473304 497576 512746 524472 525696 551368 568178 569504 582528 600288 607836 631072 645504 658489 665184 673548 694083 699296 729677 746364 769119 800384 808561 810448 827052 852267 854256 886912 895973 898064 925444 946608 995152 1025492 1048944 1102736 1136356 1139008 1200576 1215672 1262144 1316978 1330368 1347096 1388166 1398592 1459354 1492728 1538238 1617122 1620896 1654104 1704534 1708512 1791946 1796128 1850888 1874161 1893216 1975467 1990304 2050984 2076773 2097888 2189031 2205472 2272712 2278016 2301289 2401152 2425683 2431344 2524288 2550077 2633956 2660736 2687919 2694192 2776332 2797184 2825761 2918708 2985456 3076476 3234244 3241792 3308208 3409068 3417024 3583892 3592256 3701776 3748322 3786432 3950934 3980608 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717232335409498584 754013480815113896 794770966264579512 882747489734767488 928016591772447872 956309780545998112 978179650787174784 1059694621686106016 1131020221222670844 1225271906324560081 1392024887658671808 1434464670818997168 1508026961630227792 1589541932529159024 1912619561091996224 2119389243372212032 2262040442445341688 2450543812649120162 2784049775317343616 2868929341637994336 3016053923260455584 3179083865058318048 3675815718973680243 3825239122183992448 4238778486744424064 4524080884890683376 4901087625298240324 5737858683275988672 6032107846520911168 6358167730116636096 7351631437947360486 9048161769781366752 9802175250596480648 11475717366551977344 12064215693041822336 12716335460233272192 14703262875894720972 18096323539562733504 19604350501192961296 29406525751789441944 36192647079125467008 39208701002385922592 58813051503578883888 78417402004771845184 117626103007157767776 156834804009543690368 235252206014315535552 470504412028631071104
- Sum of all divisors σ(n): 1425673633185686735100
- Sum of proper divisors (its aliquot sum) s(n): 955169221157055663996
- 470504412028631071104 is an abundant number, because the sum of its proper divisors (955169221157055663996) is greater than itself. Its abundance is 484664809128424592892
Bases of 470504412028631071104
- Binary: 1100110000001100011110111010111100110100111001001010100111001100000002
- Hexadecimal: 0x19818F75E69C953980
- Base-36: 2RAO6U8XXG45MO
Squares and roots of 470504412028631071104
- 470504412028631071104 squared (4705044120286310711042) is 221374401738407834550255159928562303778816
- 470504412028631071104 cubed (4705044120286310711043) is 104157632728119542248038904390913192090074759016177328784932864
-
The
square root of 470504412028631071104 is 21691113665.0157054841 -
The
cube root of 470504412028631071104 is 7777760.5167332127
Scales and comparisons
How big is 470504412028631071104?- 470,504,412,028,631,071,104 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 470,504,412,028,631,071,104 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 470504412028631071104 cubic inches would be around 648146.7 feet tall.
Recreational maths with 470504412028631071104
- 470504412028631071104 backwards is 401170136820214405074
- The number of decimal digits it has is: 21
- The sum of 470504412028631071104's digits is 60
- More coming soon!
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"Number 470504412028631071104 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 470504412028631071104 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/470504412028631071104/
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Numbermatics. 2024. "Number 470504412028631071104 - Facts about the integer". https://numbermatics.com/n/470504412028631071104/
The information we have on file for 470504412028631071104 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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