47506993043328
47,506,993,043,328 is an even composite number composed of six prime numbers multiplied together.
What does the number 47506993043328 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
47506993043328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 47506993043328:
27 × 33 × 74 × 132 × 19 × 1783
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 13 × 13 × 19 × 1783)See below for interesting mathematical facts about the number 47506993043328 from the Numbermatics database.
Names of 47506993043328
- Cardinal: 47506993043328 can be written as Forty-seven trillion, five hundred six billion, nine hundred ninety-three million, forty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 4.7506993043328 × 1013
Factors of 47506993043328
Divisors of 47506993043328
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 49 52 54 56 57 63 64 72 76 78 84 91 96 98 104 108 112 114 117 126 128 133 144 147 152 156 168 169 171 182 189 192 196 208 216 224 228 234 247 252 266 273 288 294 304 312 336 338 342 343 351 364 378 384 392 399 416 432 441 448 456 468 494 504 507 513 532 546 576 588 608 624 637 672 676 684 686 702 728 741 756 784 798 819 832 864 882 896 912 931 936 988 1008 1014 1026 1029 1064 1092 1152 1176 1183 1197 1216 1248 1274 1323 1344 1352 1368 1372 1404 1456 1482 1512 1521 1568 1596 1638 1664 1728 1729 1764 1783 1824 1862 1872 1911 1976 2016 2028 2052 2058 2128 2184 2223 2352 2366 2394 2401 2432 2457 2496 2548 2646 2688 2704 2736 2744 2793 2808 2912 2964 3024 3042 3087 3136 3192 3211 3276 3456 3458 3528 3549 3566 3591 3648 3724 3744 3822 3952 4032 4056 4104 4116 4256 4368 4446 4459 4563 4704 4732 4788 4802 4914 4992 5096 5187 5292 5349 5408 5472 5488 5586 5616 5733 5824 5928 6048 6084 6174 6272 6384 6422 6517 6552 6669 6916 7056 7098 7132 7182 7203 7296 7448 7488 7644 7904 8064 8112 8208 8232 8281 8379 8512 8736 8892 8918 9126 9261 9408 9464 9576 9604 9633 9828 10192 10374 10584 10647 10698 10816 10944 10976 11172 11232 11466 11648 11856 12096 12103 12168 12348 12481 12768 12844 13034 13104 13338 13377 13832 14112 14196 14264 14364 14406 14896 14976 15288 15561 15808 16047 16224 16416 16464 16562 16758 17024 17199 17472 17784 17836 18252 18522 18816 18928 19152 19208 19266 19551 19656 20384 20748 21168 21294 21396 21609 21632 21888 21952 22344 22464 22477 22932 23179 23712 24192 24206 24336 24696 24843 24962 25137 25536 25688 26068 26208 26676 26754 27664 28224 28392 28528 28728 28812 28899 29792 30576 31122 31213 31616 31941 32094 32448 32832 32928 33124 33516 33877 34398 34944 35568 35672 36309 36504 37044 37443 37856 38304 38416 38532 39102 39312 40131 40768 41496 42336 42588 42792 43218 43904 44688 44928 44954 45619 45864 46358 46683 47424 48141 48412 48672 49392 49686 49924 50274 51072 51376 52136 52416 53352 53508 55328 56448 56784 57056 57456 57624 57798 57967 58653 59584 61152 62244 62426 63882 64188 64827 64896 65664 65856 66248 67032 67431 67754 68796 69537 71136 71344 72618 73008 74088 74529 74886 75712 76608 76832 77064 78204 78624 80262 81536 82992 84672 84721 85176 85584 86436 86697 87367 89376 89908 91238 91728 92716 93366 93639 94848 96282 96824 97344 98784 99372 99848 100548 101631 102752 104272 104832 106704 107016 108927 110656 112329 113568 114112 114912 115248 115596 115934 117306 119168 120393 122304 124488 124852 127764 128376 129654 131712 132496 134064 134862 135508 136857 137592 139074 142272 142688 145236 146016 148176 149058 149772 151424 153216 153664 154128 156408 157248 157339 160524 162253 165984 169344 169442 170352 171168 172872 173394 173901 174734 175959 178752 179816 182476 183456 185432 186732 187278 192564 193648 194688 197568 198744 199696 201096 202293 203262 205504 208544 208611 213408 214032 217854 221312 223587 224658 227136 228224 229824 230496 231192 231868 234612 237139 240786 244608 248976 249704 254163 255528 256752 259308 262101 264992 268128 269724 271016 273714 275184 278148 280917 284544 285376 290472 292032 296352 298116 299544 301327 304893 307328 308256 312816 314496 314678 321048 324506 326781 331968 336987 338884 340704 342336 345744 346788 347802 349468 351918 357504 359632 364952 366912 370864 373464 374556 385128 387296 395136 397488 399392 402192 404586 405769 406524 410571 411008 417088 417222 426816 428064 435708 440401 447174 449316 454272 459648 460992 462384 463736 469224 472017 474278 481572 486759 497952 499408 508326 511056 513504 518616 521703 524202 529984 536256 539448 542032 547428 550368 556296 561834 570752 580944 584064 592704 593047 596232 599088 602654 606879 609786 611569 616512 625632 625833 629356 642096 649012 653562 663936 673974 677768 681408 684672 691488 693576 695604 698936 703836 711417 719264 729904 733824 741728 746928 749112 762489 770256 774592 786303 794976 798784 804384 809172 811538 813048 821142 834176 834444 842751 853632 856128 871416 880802 894348 898632 903981 914679 921984 924768 927472 938448 944034 948556 963144 973518 995904 998816 1016652 1022112 1027008 1037232 1043406 1048404 1059968 1072512 1078896 1084064 1094856 1100736 1101373 1112592 1123668 1135771 1161888 1185408 1186094 1192464 1198176 1205308 1213758 1217307 1219572 1223138 1231713 1233024 1251264 1251666 1258712 1284192 1298024 1307124 1321203 1347948 1355536 1362816 1382976 1387152 1391208 1397872 1407672 1416051 1422834 1438528 1459808 1460277 1483456 1493856 1498224 1524978 1540512 1549184 1565109 1572606 1589952 1597568 1608768 1618344 1623076 1626096 1642284 1659973 1668888 1685502 1712256 1742832 1761604 1779141 1788696 1797264 1807962 1829358 1834707 1849536 1854944 1876896 1888068 1897112 1926288 1947036 1991808 1997632 2033304 2044224 2054016 2074464 2086812 2096808 2109289 2134251 2157792 2168128 2189712 2201472 2202746 2225184 2247336 2271542 2287467 2323776 2358909 2372188 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23753496521664 47506993043328
- Sum of all divisors σ(n): 186547406688000
- Sum of proper divisors (its aliquot sum) s(n): 139040413644672
- 47506993043328 is an abundant number, because the sum of its proper divisors (139040413644672) is greater than itself. Its abundance is 91533420601344
Bases of 47506993043328
- Binary: 10101100110101000101010111000111010111100000002
- Hexadecimal: 0x2B351571D780
- Base-36: GU8ET2AO0
Squares and roots of 47506993043328
- 47506993043328 squared (475069930433282) is 2256914388018814987285315584
- 47506993043328 cubed (475069930433283) is 107219216130996714073337792220977065623552
-
The
square root of 47506993043328 is 6892531.6860590493 -
The
cube root of 47506993043328 is 36217.5593828703
Scales and comparisons
How big is 47506993043328?- 47,506,993,043,328 seconds is equal to 1,510,575 years, 22 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 47,506,993,043,328 would take you about three million, seven hundred seventy-six thousand, four hundred thirty-eight 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 47506993043328 cubic inches would be around 3018.1 feet tall.
Recreational maths with 47506993043328
- 47506993043328 backwards is 82334039960574
- 47506993043328 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 47506993043328's digits is 63
- More coming soon!
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"Number 47506993043328 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 47506993043328 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/47506993043328/
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The information we have on file for 47506993043328 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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