40830874448
40,830,874,448 is an even composite number composed of seven prime numbers multiplied together.
40830874448 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 40830874448:
24 × 72 × 13 × 17 × 19 × 79 × 157
(2 × 2 × 2 × 2 × 7 × 7 × 13 × 17 × 19 × 79 × 157)See below for interesting mathematical facts about the number 40830874448 from the Numbermatics database.
Names of 40830874448
- Cardinal: 40830874448 can be written as Forty billion, eight hundred thirty million, eight hundred seventy-four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.0830874448 × 1010
Factors of 40830874448
Divisors of 40830874448
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 19 26 28 34 38 49 52 56 68 76 79 91 98 104 112 119 133 136 152 157 158 182 196 208 221 238 247 266 272 304 314 316 323 364 392 442 476 494 532 553 628 632 637 646 728 784 833 884 931 952 988 1027 1064 1099 1106 1256 1264 1274 1292 1343 1456 1501 1547 1666 1729 1768 1862 1904 1976 2041 2054 2128 2198 2212 2261 2512 2548 2584 2669 2686 2983 3002 3094 3332 3458 3536 3724 3871 3952 4082 4108 4199 4396 4424 4522 5096 5168 5338 5372 5966 6004 6188 6664 6916 7189 7448 7693 7742 8164 8216 8398 8792 8848 9044 9401 10192 10507 10676 10744 10829 11932 12008 12103 12376 12403 13328 13832 14287 14378 14896 15386 15484 15827 16328 16432 16796 17459 17584 18088 18683 18802 19513 20881 21014 21352 21488 21658 23864 24016 24206 24752 24806 25517 27664 28574 28756 29393 30772 30968 31654 32656 33592 34697 34918 36176 37366 37604 38779 39026 41762 42028 42704 43316 47728 48412 49612 50323 50711 51034 57148 57512 58786 61544 61936 63308 65807 67184 69394 69836 73549 74732 75208 77558 78052 83524 84056 86632 86821 96824 99224 100009 100646 101422 102068 114296 115024 117572 122213 123088 126616 130781 131614 136591 138788 139672 146167 147098 149464 150416 155116 156104 161239 167048 168112 173264 173642 178619 193648 198448 200018 201292 202844 204136 205751 210851 228592 235144 235657 242879 244426 253232 261562 263228 271453 273182 277576 279344 292334 294196 298928 310232 312208 322478 331721 334096 347284 354977 357238 400036 402584 405688 408272 411502 421702 470288 471314 485758 488852 523124 526456 542906 546364 555152 584668 588392 607747 620464 644956 659243 663442 694568 709954 714476 800072 805168 811376 823004 843404 855491 942628 956137 971516 977704 1046248 1052912 1085812 1092728 1128673 1169336 1176784 1215494 1250333 1289912 1318486 1326884 1389136 1419908 1428952 1475957 1600144 1646008 1649599 1686808 1700153 1710982 1885256 1900171 1912274 1943032 1955408 2092496 2171624 2185456 2257346 2322047 2338672 2430988 2484839 2500666 2579824 2636972 2653768 2741063 2839816 2857904 2951914 3063541 3292016 3299198 3373616 3400306 3421964 3770512 3800342 3824548 3886064 4006169 4343248 4514692 4614701 4644094 4861976 4969678 5001332 5273944 5307536 5482126 5679632 5903828 6127082 6598396 6800612 6843928 7600684 7649096 7900711 8012338 9029384 9229402 9288188 9723952 9939356 10002664 10331699 10547888 10964252 11547193 11807656 12254164 13196792 13601224 13687856 15201368 15298192 15801422 16024676 16254329 18058768 18458804 18576376 19187441 19878712 20005328 20663398 21444787 21928504 23094386 23615312 24508328 26393584 27202448 28043183 30402736 31602844 32049352 32302907 32508658 36917608 37152752 38374882 39757424 41326796 42889574 43857008 46188772 49016656 52080197 56086366 63205688 64098704 64605814 65017316 73835216 76749764 82653592 85779148 92377544 104160394 112172732 126411376 129211628 130034632 134312087 150113509 153499528 165307184 171558296 184755088 196302281 208320788 224345464 258423256 260069264 268624174 300227018 306999056 343116592 364561379 392604562 416641576 448690928 516846512 537248348 600454036 729122758 785209124 833283152 1074496696 1200908072 1458245516 1570418248 2148993392 2401816144 2551929653 2916491032 3140836496 5103859306 5832982064 10207718612 20415437224 40830874448
- Sum of all divisors σ(n): 112567795200
- Sum of proper divisors (its aliquot sum) s(n): 71736920752
- 40830874448 is an abundant number, because the sum of its proper divisors (71736920752) is greater than itself. Its abundance is 30906046304
Bases of 40830874448
- Binary: 1001100000011011010110110011010100002
- Hexadecimal: 0x981B5B350
- Base-36: IR9NCCW
Squares and roots of 40830874448
- 40830874448 squared (408308744482) is 1667160308188339304704
- 40830874448 cubed (408308744483) is 68071613228327068487992639803392
-
The
square root of 40830874448 is 202066.5099614481 -
The
cube root of 40830874448 is 3443.4693918927
Scales and comparisons
How big is 40830874448?- 40,830,874,448 seconds is equal to 1,298 years, 15 weeks, 2 days, 13 hours, 34 minutes, 8 seconds.
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To count from 1 to 40,830,874,448 would take you about two thousand, five hundred ninety-six 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 40830874448 cubic inches would be around 287 feet tall.
Recreational maths with 40830874448
- 40830874448 backwards is 84447803804
- The number of decimal digits it has is: 11
- The sum of 40830874448's digits is 50
- More coming soon!
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