46421464974744132
46,421,464,974,744,132 is an even composite number composed of six prime numbers multiplied together.
What does the number 46421464974744132 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
46421464974744132 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 46421464974744132:
22 × 33 × 75 × 132 × 733 × 389
(2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 73 × 73 × 73 × 389)See below for interesting mathematical facts about the number 46421464974744132 from the Numbermatics database.
Names of 46421464974744132
- Cardinal: 46421464974744132 can be written as Forty-six quadrillion, four hundred twenty-one trillion, four hundred sixty-four billion, nine hundred seventy-four million, seven hundred forty-four thousand, one hundred thirty-two.
Scientific notation
- Scientific notation: 4.6421464974744132 × 1016
Factors of 46421464974744132
Divisors of 46421464974744132
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 73 78 84 91 98 108 117 126 146 147 156 169 182 189 196 219 234 252 273 292 294 338 343 351 364 378 389 438 441 468 507 511 546 588 637 657 676 686 702 756 778 819 876 882 949 1014 1022 1029 1092 1167 1183 1274 1314 1323 1372 1404 1521 1533 1556 1638 1764 1898 1911 1971 2028 2044 2058 2334 2366 2401 2457 2548 2628 2646 2723 2847 3042 3066 3087 3276 3501 3549 3577 3796 3822 3942 4116 4459 4563 4599 4668 4732 4802 4914 5057 5292 5329 5446 5694 5733 6084 6132 6174 6643 7002 7098 7154 7203 7644 7884 8169 8281 8541 8918 9126 9198 9261 9604 9828 10114 10503 10647 10658 10731 10892 11388 11466 12337 12348 13286 13377 13797 14004 14196 14308 14406 15171 15987 16338 16562 16807 17082 17199 17836 18252 18396 18522 19061 19929 20228 21006 21294 21316 21462 21609 22932 24507 24674 24843 25039 25623 26572 26754 27594 28397 28812 30342 31213 31941 31974 32193 32676 33124 33614 34164 34398 35399 37011 37044 37303 38122 39858 40131 42012 42588 42924 43218 45513 46501 47961 49014 49348 49686 50078 50421 51246 53508 55188 56794 57183 57967 59787 60684 62426 63882 63948 64386 64827 65741 67228 68796 69277 70798 73521 74022 74529 74606 75117 76244 79716 80262 85191 86359 86436 91026 93002 93639 95922 96579 98028 99372 100156 100842 102492 106197 111033 111909 113588 114366 115934 119574 120393 124852 127764 128772 129654 131482 133427 136539 138554 139503 141596 143883 147042 148044 149058 149212 150234 151263 160524 170382 171549 172718 173901 175273 179361 182052 186004 187278 191844 193158 197223 198779 201684 207831 212394 218491 222066 223587 223818 225351 228732 231868 239148 240786 247793 255573 259077 259308 261121 262964 266854 273078 277108 279006 280917 287766 294084 298116 300468 302526 318591 325507 333099 335727 340764 343098 345436 347802 350546 358722 369161 374556 386316 389017 394446 397558 400281 405769 415662 418509 424788 436982 444132 447174 447636 450702 453789 460187 481572 484939 495586 511146 514647 518154 521703 522242 525819 533708 546156 558012 561834 575532 591669 596337 604513 605052 623493 637182 651014 655473 666198 671454 676053 686196 695604 701092 717444 738322 743379 766719 777231 778034 783363 788892 795116 800562 811538 831324 837018 842751 873964 894348 900601 901404 907578 920374 933989 955773 969878 976521 991172 1007181 1022292 1029294 1036308 1043406 1044484 1051638 1107483 1123668 1167051 1183338 1192674 1200843 1209026 1217307 1226911 1246986 1255527 1274364 1302028 1310946 1332396 1342908 1352106 1380561 1391453 1454817 1476644 1486758 1533438 1554462 1556068 1565109 1566726 1577457 1601124 1623076 1674036 1685502 1734551 1775007 1789011 1801202 1813539 1815156 1827847 1840748 1867978 1870479 1911546 1939756 1953042 1966419 2014362 2058588 2072981 2086812 2103276 2214966 2230137 2278549 2331693 2334102 2350089 2366676 2385348 2401686 2418052 2434614 2453822 2493972 2511054 2584127 2621892 2701803 2704212 2723119 2761122 2782906 2801967 2840383 2909634 2929563 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46421464974744132
- Sum of all divisors σ(n): 154548913087296000
- Sum of proper divisors (its aliquot sum) s(n): 108127448112551868
- 46421464974744132 is an abundant number, because the sum of its proper divisors (108127448112551868) is greater than itself. Its abundance is 61705983137807736
Bases of 46421464974744132
- Binary: 101001001110110000010011100100011100010111011010010001002
- Hexadecimal: 0xA4EC1391C5DA44
- Base-36: CP31ALR96X0
Squares and roots of 46421464974744132
- 46421464974744132 squared (464214649747441322) is 2154952410401396215824618868433424
- 46421464974744132 cubed (464214649747441323) is 100036047841688856760655501096755711754696076667968
-
The
square root of 46421464974744132 is 215456410.8462408505 -
The
cube root of 46421464974744132 is 359395.7584332737
Scales and comparisons
How big is 46421464974744132?- 46,421,464,974,744,132 seconds is equal to 1,476,058,995 years, 9 weeks, 1 day, 17 hours, 22 minutes, 12 seconds.
-
To count from 1 to 46,421,464,974,744,132 would take you about four billion, four hundred twenty-eight million, one hundred seventy-six thousand, nine hundred eighty-five 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 46421464974744132 cubic inches would be around 29949.6 feet tall.
Recreational maths with 46421464974744132
- 46421464974744132 backwards is 23144747946412464
- The number of decimal digits it has is: 17
- The sum of 46421464974744132's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 46421464974744132 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 46421464974744132 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/46421464974744132/
Chicago style:
Numbermatics. 2024. "Number 46421464974744132 - Facts about the integer". https://numbermatics.com/n/46421464974744132/
The information we have on file for 46421464974744132 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!
Keywords: Divisors of 46421464974744132, math, Factors of 46421464974744132, curriculum, school, college, exams, university, Prime factorization of 46421464974744132, STEM, science, technology, engineering, physics, economics, calculator, forty-six quadrillion, four hundred twenty-one trillion, four hundred sixty-four billion, nine hundred seventy-four million, seven hundred forty-four thousand, one hundred thirty-two.