46220131434993152
46,220,131,434,993,152 is an even composite number composed of five prime numbers multiplied together.
46220131434993152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 46220131434993152:
29 × 72 × 133 × 233 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 23 × 23 × 23 × 41 × 41 × 41)See below for interesting mathematical facts about the number 46220131434993152 from the Numbermatics database.
Names of 46220131434993152
- Cardinal: 46220131434993152 can be written as Forty-six quadrillion, two hundred twenty trillion, one hundred thirty-one billion, four hundred thirty-four million, nine hundred ninety-three thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.6220131434993152 × 1016
Factors of 46220131434993152
Divisors of 46220131434993152
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 41 46 49 52 56 64 82 91 92 98 104 112 128 161 164 169 182 184 196 208 224 256 287 299 322 328 338 364 368 392 416 448 512 529 533 574 598 637 644 656 676 728 736 784 832 896 943 1058 1066 1127 1148 1183 1196 1274 1288 1312 1352 1456 1472 1568 1664 1681 1792 1886 2009 2093 2116 2132 2197 2254 2296 2366 2392 2548 2576 2624 2704 2912 2944 3136 3328 3362 3584 3703 3731 3772 3887 4018 4186 4232 4264 4394 4508 4592 4732 4784 5096 5152 5248 5408 5824 5888 6272 6601 6656 6724 6877 6929 7406 7462 7544 7774 8036 8281 8372 8464 8528 8788 9016 9184 9464 9568 10192 10304 10496 10816 11648 11767 11776 12167 12259 12544 13202 13448 13754 13858 14651 14812 14924 15088 15379 15548 16072 16562 16744 16928 17056 17576 18032 18368 18928 19136 20384 20608 20992 21632 21689 21853 23296 23534 24334 24518 25088 25921 26117 26404 26896 27209 27508 27716 29302 29624 29848 30176 30758 31096 32144 33124 33488 33856 34112 35152 36064 36736 37856 38272 38663 40768 41216 43264 43378 43706 46207 46592 47068 48139 48503 48668 49036 50531 51842 52234 52808 53792 54418 55016 55432 58604 59248 59696 60352 61516 62192 64288 66248 66976 67712 68224 68921 70304 72128 73472 75712 76544 77326 81536 82369 82432 85169 85813 86528 86756 87412 89401 90077 92414 94136 96278 97006 97336 98072 101062 103684 104468 105616 107584 107653 108836 110032 110864 117208 118496 119392 120704 123032 124384 128576 132496 133952 135424 136448 137842 140608 144256 146944 151424 151823 152971 153088 154652 158171 159367 163072 164738 170338 171626 173512 174824 178802 180154 184828 188272 190463 192556 194012 194672 196144 202124 207368 208936 211232 215168 215306 217672 220064 221728 234416 236992 238784 241408 246064 248768 257152 264992 267904 270641 270848 272896 275684 281216 281957 284089 288512 302848 303646 305942 309304 316342 318734 326144 329476 336973 339521 340676 343252 347024 349648 353717 357604 360308 369656 376544 380926 385112 388024 389344 392288 404248 414736 417872 422464 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51584968119412 55553042590136 58954249279328 62799091623632 63489191531584 68372975495552 70457517431392 71770390427008 72559076036096 77291189690624 80522877064448 86716944530944 87372649215488 90273694208971 103169936238824 111106085180272 117908498558656 125598183247264 126978383063168 136745950991104 140915034862784 143540780854016 154582379381248 161045754128896 180547388417942 206339872477648 222212170360544 235816997117312 251196366494528 253956766126336 273491901982208 281830069725568 287081561708032 361094776835884 412679744955296 444424340721088 471633994234624 502392732989056 507913532252672 563660139451136 722189553671768 825359489910592 888848681442176 943267988469248 1004785465978112 1127320278902272 1444379107343536 1650718979821184 1777697362884352 2009570931956224 2888758214687072 3301437959642368 3555394725768704 5777516429374144 6602875919284736 11555032858748288 23110065717496576 46220131434993152
- Sum of all divisors σ(n): 124706715096902400
- Sum of proper divisors (its aliquot sum) s(n): 78486583661909248
- 46220131434993152 is an abundant number, because the sum of its proper divisors (78486583661909248) is greater than itself. Its abundance is 32266452226916096
Bases of 46220131434993152
- Binary: 101001000011010011110110111100111010011110010110000000002
- Hexadecimal: 0xA434F6F3A79600
- Base-36: CN3O393YRCW
Squares and roots of 46220131434993152
- 46220131434993152 squared (462201314349931522) is 2136300549868042128304866286895104
- 46220131434993152 cubed (462201314349931523) is 98740092199549049690202557177897493213661582327808
-
The
square root of 46220131434993152 is 214988677.4576585745 -
The
cube root of 46220131434993152 is 358875.4295933727
Scales and comparisons
How big is 46220131434993152?- 46,220,131,434,993,152 seconds is equal to 1,469,657,211 years, 19 weeks, 5 days, 1 hour, 12 minutes, 32 seconds.
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To count from 1 to 46,220,131,434,993,152 would take you about four billion, four hundred eight million, nine hundred seventy-one thousand, six hundred thirty-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 46220131434993152 cubic inches would be around 29906.3 feet tall.
Recreational maths with 46220131434993152
- 46220131434993152 backwards is 25139943413102264
- The number of decimal digits it has is: 17
- The sum of 46220131434993152's digits is 59
- More coming soon!
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The information we have on file for 46220131434993152 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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