1331166983328
1,331,166,983,328 is an even composite number composed of six prime numbers multiplied together.
1331166983328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 1331166983328:
25 × 34 × 7 × 132 × 53 × 8191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 53 × 8191)See below for interesting mathematical facts about the number 1331166983328 from the Numbermatics database.
Names of 1331166983328
- Cardinal: 1331166983328 can be written as One trillion, three hundred thirty-one billion, one hundred sixty-six million, nine hundred eighty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.331166983328 × 1012
Factors of 1331166983328
Divisors of 1331166983328
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 53 54 56 63 72 78 81 84 91 96 104 106 108 112 117 126 144 156 159 162 168 169 182 189 208 212 216 224 234 252 273 288 312 318 324 336 338 351 364 371 378 416 424 432 468 477 504 507 546 567 624 636 648 672 676 689 702 728 742 756 819 848 864 936 954 1008 1014 1053 1092 1113 1134 1183 1248 1272 1296 1352 1378 1404 1431 1456 1484 1512 1521 1638 1696 1872 1908 2016 2028 2067 2106 2184 2226 2268 2366 2457 2544 2592 2704 2756 2808 2862 2912 2968 3024 3042 3276 3339 3549 3744 3816 4056 4134 4212 4293 4368 4452 4536 4563 4732 4823 4914 5088 5408 5512 5616 5724 5936 6048 6084 6201 6552 6678 7098 7371 7632 8112 8191 8268 8424 8586 8736 8904 8957 9072 9126 9464 9646 9828 10017 10647 11024 11232 11448 11872 12168 12402 13104 13356 13689 14196 14469 14742 15264 16224 16382 16536 16848 17172 17808 17914 18144 18252 18603 18928 19292 19656 20034 21294 22048 22896 24336 24573 24804 26208 26712 26871 27378 28392 28938 29484 30051 31941 32764 33072 33696 34344 35616 35828 36504 37206 37856 38584 39312 40068 42588 43407 45792 48672 49146 49608 53424 53742 54756 55809 56784 57337 57876 58968 60102 62699 63882 65528 66144 68688 71656 73008 73719 74412 77168 78624 80136 80613 85176 86814 95823 98292 99216 106483 106848 107484 109512 111618 113568 114674 115752 117936 120204 125398 127764 130221 131056 137376 143312 146016 147438 148824 154336 160272 161226 170352 172011 173628 188097 191646 196584 198432 212966 214968 219024 221157 223236 229348 231504 235872 240408 241839 250796 255528 260442 262112 286624 294876 297648 319449 320544 322452 340704 344022 347256 376194 383292 390663 393168 425932 429936 434123 438048 442314 446472 458696 463008 480816 483678 501592 511056 516033 520884 564291 589752 595296 638898 644904 663471 688044 694512 725517 745381 752388 766584 781326 786336 851864 859872 868246 884628 892944 917392 958347 961632 967356 1003184 1022112 1032066 1041768 1128582 1179504 1277796 1289808 1302369 1326942 1376088 1384279 1389024 1451034 1490762 1504776 1533168 1548099 1562652 1692873 1703728 1736492 1769256 1785888 1834784 1916694 1934712 2006368 2064132 2083536 2236143 2257164 2359008 2555592 2579616 2604738 2653884 2752176 2768558 2875041 2902068 2981524 3009552 3038861 3066336 3096198 3125304 3385746 3407456 3472984 3538512 3833388 3869424 3907107 4128264 4152837 4167072 4472286 4514328 4644297 5078619 5111184 5209476 5307768 5504352 5537116 5643599 5750082 5804136 5963048 6019104 6077722 6192396 6250608 6708429 6771492 6945968 7077024 7666776 7738848 7814214 8256528 8305674 8625123 8944572 9028656 9116583 9288594 9689953 10157238 10222368 10418952 10615536 11074232 11287198 11500164 11608272 11721321 11926096 12155444 12384792 12458511 12501216 13416858 13542984 13891936 15333552 15628428 16513056 16611348 16930797 17250246 17889144 18057312 18233166 18577188 19379906 20125287 20314476 20837904 21231072 22148464 22574396 23000328 23216544 23442642 23852192 24310888 24769584 24917022 26833716 27085968 27349749 29069859 30667104 31256856 33222696 33861594 34500492 35163963 35778288 36466332 37154376 37375533 38759812 39505193 40250574 40628952 41675808 44296928 45148792 46000656 46885284 48621776 49539168 49834044 50792391 53667432 54171936 54699498 58139718 60375861 62513712 66445392 67723188 69000984 70327926 71556576 72932664 73366787 74308752 74751066 77519624 79010386 80501148 81257904 82049247 87209577 90297584 92001312 93770568 97243552 99668088 101584782 107334864 109398996 112126599 116279436 118515579 120751722 125027424 132890784 135446376 138001968 140655852 145865328 146733574 148617504 149502132 152377173 155039248 158020772 161002296 162515808 164098494 174419154 180595168 187541136 199336176 203169564 214669728 218797992 220100361 224253198 232558872 237031158 241503444 246147741 261628731 270892752 276003936 281311704 291730656 293467148 299004264 304754346 310078496 316041544 322004592 328196988 348838308 355546737 375082272 398672352 406339128 437595984 440200722 448506396 457131519 465117744 474062316 483006888 492295482 513567509 523257462 541785504 562623408 586934296 598008528 609508692 632083088 644009184 656393976 660301083 697676616 711093474 784886193 812678256 875191968 880401444 897012792 914263038 930235488 948124632 966013776 984590964 1027135018 1046514924 1066640211 1125246816 1173868592 1196017056 1219017384 1264166176 1312787952 1320602166 1395353232 1422186948 1540702527 1569772386 1625356512 1760802888 1794025584 1828526076 1896249264 1932027552 1969181928 1980903249 2054270036 2093029848 2133280422 2347737184 2438034768 2625575904 2641204332 2790706464 2844373896 3081405054 3139544772 3199920633 3521605776 3588051168 3657052152 3792498528 3938363856 3961806498 4108540072 4186059696 4266560844 4622107581 4876069536 5282408664 5688747792 5942709747 6162810108 6279089544 6399841266 7043211552 7314104304 7876727712 7923612996 8217080144 8372119392 8533121688 9244215162 10564817328 11377495584 11885419494 12325620216 12558179088 12799682532 13866322743 14628208608 15847225992 16434160288 17066243376 18488430324 21129634656 23770838988 24651240432 25116358176 25599365064 27732645486 31694451984 34132486752 36976860648 41598968229 47541677976 49302480864 51198730128 55465290972 63388903968 73953721296 83197936458 95083355952 102397460256 110930581944 147907442592 166395872916 190166711904 221861163888 332791745832 443722327776 665583491664 1331166983328
- Sum of all divisors σ(n): 4936858730496
- Sum of proper divisors (its aliquot sum) s(n): 3605691747168
- 1331166983328 is an abundant number, because the sum of its proper divisors (3605691747168) is greater than itself. Its abundance is 2274524763840
Bases of 1331166983328
- Binary: 100110101111011111011110000110100101000002
- Hexadecimal: 0x135EFBC34A0
- Base-36: GZJ2GA00
Squares and roots of 1331166983328
- 1331166983328 squared (13311669833282) is 1772005537502567829955584
- 1331166983328 cubed (13311669833283) is 2358835265797804389255674025508503552
-
The
square root of 1331166983328 is 1153762.0999703537 -
The
cube root of 1331166983328 is 11000.4599899323
Scales and comparisons
How big is 1331166983328?- 1,331,166,983,328 seconds is equal to 42,326 years, 51 weeks, 4 days, 6 hours, 28 minutes, 48 seconds.
-
To count from 1 to 1,331,166,983,328 would take you about one hundred five thousand, eight hundred seventeen 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 1331166983328 cubic inches would be around 916.7 feet tall.
Recreational maths with 1331166983328
- 1331166983328 backwards is 8233896611331
- 1331166983328 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1331166983328's digits is 54
- More coming soon!
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