991134144
991,134,144 is an even composite number composed of six prime numbers multiplied together.
991134144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 991134144:
26 × 34 × 7 × 11 × 13 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 191)See below for interesting mathematical facts about the number 991134144 from the Numbermatics database.
Names of 991134144
- Cardinal: 991134144 can be written as Nine hundred ninety-one million, one hundred thirty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.91134144 × 108
Factors of 991134144
Divisors of 991134144
- Number of divisors d(n): 560
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 39 42 44 48 52 54 56 63 64 66 72 77 78 81 84 88 91 96 99 104 108 112 117 126 132 143 144 154 156 162 168 176 182 189 191 192 198 208 216 224 231 234 252 264 273 286 288 297 308 312 324 336 351 352 364 378 382 396 416 429 432 448 462 468 504 528 546 567 572 573 576 594 616 624 648 672 693 702 704 728 756 764 792 819 832 858 864 891 924 936 1001 1008 1053 1056 1092 1134 1144 1146 1188 1232 1248 1287 1296 1337 1344 1386 1404 1456 1512 1528 1584 1638 1716 1719 1728 1782 1848 1872 2002 2016 2079 2101 2106 2112 2184 2268 2288 2292 2376 2457 2464 2483 2496 2574 2592 2674 2772 2808 2912 3003 3024 3056 3168 3276 3432 3438 3564 3696 3744 3861 4004 4011 4032 4158 4202 4212 4368 4536 4576 4584 4752 4914 4928 4966 5148 5157 5184 5348 5544 5616 5824 6006 6048 6112 6237 6303 6336 6552 6864 6876 7128 7371 7392 7449 7488 7722 8008 8022 8316 8404 8424 8736 9009 9072 9152 9168 9504 9828 9932 10296 10314 10696 11088 11232 11583 12012 12033 12096 12224 12474 12606 13104 13728 13752 14256 14707 14742 14784 14898 15444 15471 16016 16044 16632 16808 16848 17381 17472 18018 18144 18336 18909 19008 19656 19864 20592 20628 21392 22176 22347 22464 23166 24024 24066 24948 25212 26208 27027 27313 27456 27504 28512 29414 29484 29796 30888 30942 32032 32088 33264 33616 33696 34762 36036 36099 36288 36672 37818 39312 39728 41184 41256 42784 44121 44352 44694 46332 48048 48132 49896 50424 52143 52416 54054 54626 55008 56727 57024 58828 58968 59592 61776 61884 64064 64176 66528 67041 67232 67392 69524 72072 72198 75636 78624 79456 81081 81939 82368 82512 85568 88242 89388 92664 96096 96264 99792 100848 104286 108108 108297 109252 110016 113454 117656 117936 119184 123552 123768 128352 132363 133056 134082 134464 139048 144144 144396 151272 156429 157248 158912 162162 163878 165024 170181 176484 178776 185328 191191 192192 192528 199584 201123 201696 208572 216216 216594 218504 226908 235312 235872 238368 245817 247104 247536 256704 264726 268164 278096 288288 288792 302544 312858 324324 327756 330048 340362 352968 357552 370656 382382 385056 397089 399168 402246 403392 417144 432432 433188 437008 453816 469287 470624 471744 476736 491634 495072 529452 536328 556192 573573 576576 577584 605088 625716 648648 655512 680724 705936 715104 737451 741312 764764 770112 794178 804492 834288 864864 866376 874016 907632 938574 941248 983268 990144 1058904 1072656 1112384 1147146 1155168 1191267 1210176 1251432 1297296 1311024 1361448 1407861 1411872 1430208 1474902 1529528 1588356 1608984 1668576 1720719 1729728 1732752 1748032 1815264 1877148 1966536 2117808 2145312 2212353 2294292 2310336 2382534 2502864 2594592 2622048 2722896 2815722 2823744 2949804 3059056 3176712 3217968 3337152 3441438 3465504 3630528 3754296 3933072 4235616 4290624 4424706 4588584 4765068 5005728 5162157 5189184 5244096 5445792 5631444 5899608 6118112 6353424 6435936 6882876 6931008 7508592 7866144 8471232 8849412 9177168 9530136 10011456 10324314 10891584 11262888 11799216 12236224 12706848 12871872 13765752 15017184 15486471 15732288 17698824 18354336 19060272 20648628 22525776 23598432 25413696 27531504 30034368 30972942 35397648 36708672 38120544 41297256 45051552 47196864 55063008 61945884 70795296 76241088 82594512 90103104 110126016 123891768 141590592 165189024 247783536 330378048 495567072 991134144
- Sum of all divisors σ(n): 3965423616
- Sum of proper divisors (its aliquot sum) s(n): 2974289472
- 991134144 is an abundant number, because the sum of its proper divisors (2974289472) is greater than itself. Its abundance is 1983155328
Bases of 991134144
- Binary: 1110110001001110000001110000002
- Hexadecimal: 0x3B1381C0
- Base-36: GE3G00
Squares and roots of 991134144
- 991134144 squared (9911341442) is 982346891402612736
- 991134144 cubed (9911341443) is 973637545321389533458857984
-
The
square root of 991134144 is 31482.2830175957 -
The
cube root of 991134144 is 997.0359376815
Scales and comparisons
How big is 991134144?- 991,134,144 seconds is equal to 31 years, 26 weeks, 5 days, 11 hours, 2 minutes, 24 seconds.
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To count from 1 to 991,134,144 would take you about forty-seven 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 991134144 cubic inches would be around 83.1 feet tall.
Recreational maths with 991134144
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