13745135040
13,745,135,040 is an even composite number composed of six prime numbers multiplied together.
13745135040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 13745135040:
26 × 3 × 5 × 73 × 133 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 19)See below for interesting mathematical facts about the number 13745135040 from the Numbermatics database.
Names of 13745135040
- Cardinal: 13745135040 can be written as Thirteen billion, seven hundred forty-five million, one hundred thirty-five thousand and forty.
Scientific notation
- Scientific notation: 1.374513504 × 1010
Factors of 13745135040
Divisors of 13745135040
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 26 28 30 32 35 38 39 40 42 48 49 52 56 57 60 64 65 70 76 78 80 84 91 95 96 98 104 105 112 114 120 130 133 140 147 152 156 160 168 169 182 190 192 195 196 208 210 224 228 240 245 247 260 266 273 280 285 294 304 312 320 336 338 343 364 380 390 392 399 416 420 448 455 456 480 490 494 507 520 532 546 560 570 588 608 624 637 665 672 676 686 728 735 741 760 780 784 798 832 840 845 910 912 931 960 980 988 1014 1029 1040 1064 1092 1120 1140 1176 1183 1216 1235 1248 1274 1330 1344 1352 1365 1372 1456 1470 1482 1520 1560 1568 1596 1680 1690 1715 1729 1820 1824 1862 1911 1960 1976 1995 2028 2058 2080 2128 2184 2197 2240 2280 2352 2366 2470 2496 2535 2548 2660 2704 2730 2744 2793 2912 2940 2964 3040 3120 3136 3185 3192 3211 3360 3380 3430 3458 3549 3640 3648 3705 3724 3822 3920 3952 3990 4056 4116 4160 4256 4368 4394 4459 4560 4655 4704 4732 4940 5070 5096 5145 5187 5320 5408 5460 5488 5586 5824 5880 5915 5928 6080 6240 6370 6384 6422 6517 6591 6720 6760 6860 6916 7098 7280 7410 7448 7644 7840 7904 7980 8112 8232 8281 8512 8645 8736 8788 8918 9120 9310 9408 9464 9555 9633 9880 10140 10192 10290 10374 10640 10816 10920 10976 10985 11172 11760 11830 11856 12103 12480 12740 12768 12844 13034 13182 13377 13520 13720 13832 13965 14196 14560 14820 14896 15288 15379 15680 15808 15960 16055 16224 16464 16562 17290 17472 17576 17745 17836 18240 18620 18928 19110 19266 19551 19760 20280 20384 20580 20748 21280 21840 21952 21970 22295 22344 22477 23520 23660 23712 24206 24843 25480 25536 25688 25935 26068 26364 26754 27040 27440 27664 27930 28392 29120 29640 29792 30576 30758 31920 32110 32448 32585 32928 32955 33124 34580 35152 35490 35672 36309 37240 37856 38220 38532 39102 39520 40560 40768 41160 41405 41496 41743 42560 43680 43940 44590 44688 44954 46137 47040 47320 47424 48165 48412 49686 50960 51376 51870 52136 52728 53508 54080 54880 55328 55860 56784 57967 59280 59584 60515 61152 61516 63840 64220 65170 65856 65910 66248 66885 67431 69160 70304 70980 71344 72618 74480 75712 76440 76895 77064 78204 79040 81120 82320 82810 82992 83486 84721 87360 87880 89180 89376 89908 92274 94640 96330 96824 97755 99372 101920 102752 103740 104272 105456 107016 107653 109760 110656 111720 112385 113568 115934 118560 121030 122304 123032 124215 125229 127680 128440 130340 131820 132496 133770 134862 138320 140608 141960 142688 145236 148960 152880 153790 154128 156408 157339 162240 164640 165620 165984 166972 169442 173901 175760 178360 178752 179816 181545 184548 189280 192660 193648 195510 198744 203840 205504 207480 208544 208715 210912 214032 215306 223440 224770 227136 230685 231868 237120 242060 246064 248430 250458 254163 256880 260680 263640 264992 267540 269724 276640 283920 285376 289835 290472 292201 297920 305760 307580 308256 312816 314678 322959 329280 331240 331968 333944 337155 338884 347802 351520 356720 359632 363090 369096 378560 385320 387296 391020 397488 414960 417088 417430 421824 423605 428064 430612 446880 449540 461370 463736 472017 484120 492128 496860 500916 508326 513760 521360 527280 529984 535080 538265 539448 553280 567840 579670 580944 584402 611520 615160 616512 625632 626145 629356 645918 662480 667888 674310 677768 695604 703040 713440 719264 726180 738192 753571 770640 774592 782040 786695 794976 829920 834860 847210 856128 861224 869505 876603 893760 899080 922740 927472 944034 968240 984256 993720 1001832 1016652 1027520 1042720 1054560 1070160 1076530 1078896 1101373 1135680 1159340 1161888 1168804 1230320 1251264 1252290 1258712 1270815 1291836 1324960 1335776 1348620 1355536 1391208 1426880 1438528 1452360 1461005 1476384 1507142 1541280 1564080 1573390 1589952 1614795 1659840 1669720 1694420 1722448 1739010 1753206 1798160 1845480 1854944 1888068 1936480 1987440 2003664 2033304 2045407 2085440 2109120 2140320 2153060 2157792 2202746 2260713 2318680 2323776 2337608 2360085 2460640 2504580 2517424 2541630 2583672 2649920 2671552 2697240 2711072 2782416 2904720 2922010 2952768 3014284 3082560 3128160 3146780 3229590 3304119 3339440 3388840 3444896 3478020 3506412 3596320 3690960 3709888 3767855 3776136 3872960 3974880 4007328 4066608 4090814 4280640 4306120 4315584 4383015 4405492 4521426 4637360 4675216 4720170 4921280 5009160 5034848 5083260 5167344 5394480 5422144 5506865 5564832 5809440 5844020 6028568 6136221 6256320 6293560 6459180 6608238 6678880 6777680 6889792 6956040 7012824 7192640 7381920 7535710 7552272 7949760 8014656 8133216 8181628 8612240 8766030 8810984 9042852 9274720 9350432 9440340 10018320 10069696 10166520 10227035 10334688 10788960 11013730 11129664 11303565 11618880 11688040 12057136 12272442 12587120 12918360 13216476 13357760 13555360 13912080 14025648 14317849 14763840 15071420 15104544 16266432 16363256 16520595 17224480 17532060 17621968 18085704 18549440 18700864 18880680 20036640 20333040 20454070 20669376 21577920 22027460 22607130 23376080 24114272 24544884 25174240 25836720 26432952 27110720 27824160 28051296 28635698 30142840 30209088 30681105 32726512 33041190 34448960 35064120 35243936 36171408 37761360 40073280 40666080 40908140 42953547 44054920 45214260 46752160 48228544 49089768 50348480 51673440 52865904 55648320 56102592 57271396 60285680 61362210 65453024 66082380 70128240 70487872 71589245 72342816 75522720 81332160 81816280 85907094 88109840 90428520 93504320 98179536 103346880 105731808 114542792 120571360 122724420 130906048 132164760 140256480 143178490 144685632 151045440 163632560 171814188 176219680 180857040 196359072 211463616 214767735 229085584 241142720 245448840 264329520 280512960 286356980 327265120 343628376 352439360 361714080 392718144 429535470 458171168 490897680 528659040 572713960 654530240 687256752 723428160 859070940 916342336 981795360 1057318080 1145427920 1374513504 1718141880 1963590720 2290855840 2749027008 3436283760 4581711680 6872567520 13745135040
- Sum of all divisors σ(n): 58033920000
- Sum of proper divisors (its aliquot sum) s(n): 44288784960
- 13745135040 is an abundant number, because the sum of its proper divisors (44288784960) is greater than itself. Its abundance is 30543649920
Bases of 13745135040
- Binary: 11001100110100011000011101110000002
- Hexadecimal: 0x333461DC0
- Base-36: 6BBHY2O
Squares and roots of 13745135040
- 13745135040 squared (137451350402) is 188928737267835801600
- 13745135040 cubed (137451350403) is 2596851006683083741538648064000
-
The
square root of 13745135040 is 117239.6479012113 -
The
cube root of 13745135040 is 2395.4273489479
Scales and comparisons
How big is 13745135040?- 13,745,135,040 seconds is equal to 437 years, 2 weeks, 5 days, 5 hours, 4 minutes.
-
To count from 1 to 13,745,135,040 would take you about eight hundred seventy-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 13745135040 cubic inches would be around 199.6 feet tall.
Recreational maths with 13745135040
- 13745135040 backwards is 04053154731
- The number of decimal digits it has is: 11
- The sum of 13745135040's digits is 33
- More coming soon!
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