13001331175040
13,001,331,175,040 is an even composite number composed of seven prime numbers multiplied together.
13001331175040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13001331175040:
27 × 5 × 13 × 19 × 23 × 312 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 19 × 23 × 31 × 31 × 61 × 61)See below for interesting mathematical facts about the number 13001331175040 from the Numbermatics database.
Names of 13001331175040
- Cardinal: 13001331175040 can be written as Thirteen trillion, one billion, three hundred thirty-one million, one hundred seventy-five thousand and forty.
Scientific notation
- Scientific notation: 1.300133117504 × 1013
Factors of 13001331175040
Divisors of 13001331175040
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 23 26 31 32 38 40 46 52 61 62 64 65 76 80 92 95 104 115 122 124 128 130 152 155 160 184 190 208 230 244 247 248 260 299 304 305 310 320 368 380 403 416 437 460 488 494 496 520 589 598 608 610 620 640 713 736 760 793 806 832 874 920 961 976 988 992 1040 1159 1178 1196 1216 1220 1235 1240 1403 1426 1472 1495 1520 1586 1612 1664 1748 1840 1891 1922 1952 1976 1984 2015 2080 2185 2318 2356 2392 2432 2440 2470 2480 2806 2852 2944 2945 2990 3040 3172 3224 3496 3565 3680 3721 3782 3844 3904 3952 3965 3968 4030 4160 4370 4636 4712 4784 4805 4880 4940 4960 5612 5681 5704 5795 5890 5980 6080 6344 6448 6992 7015 7130 7360 7442 7564 7657 7688 7808 7904 7930 8060 8320 8740 9269 9272 9424 9455 9568 9610 9760 9880 9920 11224 11362 11408 11590 11780 11960 12160 12493 12688 12896 13547 13984 14030 14260 14720 14884 15067 15128 15314 15376 15808 15860 16120 17480 18239 18259 18538 18544 18605 18848 18910 19136 19220 19520 19760 19840 22103 22448 22724 22816 23180 23560 23920 24583 24986 25376 25792 26657 27094 27968 28060 28405 28520 29768 30134 30256 30628 30752 31616 31720 32240 34960 35929 36478 36518 37076 37088 37210 37696 37820 38272 38285 38440 39040 39520 43493 44206 44896 45448 45632 46345 46360 47120 47840 48373 49166 49972 50752 51584 53314 54188 55936 56120 56810 57040 58621 59536 60268 60512 61256 61504 62465 63440 64480 67735 69920 70699 71858 72956 73036 74152 74176 74420 75335 75392 75640 76570 76880 79040 85583 86986 88412 89792 90896 91195 91264 91295 92690 92720 94240 95680 96746 98332 99944 101504 106628 108376 110515 112240 113620 114080 115351 117242 119072 120536 121024 122512 122915 123008 124930 126880 128960 133285 135470 139840 141398 143716 145912 146072 148304 148352 148840 150670 151280 153140 153760 158080 171166 173972 176111 176824 179584 179645 181792 182390 182590 185380 185440 188480 191360 193492 196664 199888 213256 216752 217465 221030 224480 227240 228160 230702 234484 237367 238144 241072 241865 242048 245024 245830 249860 253760 257920 266570 270940 279680 282796 287339 287432 291824 292144 293105 296608 297680 301340 302560 306280 307520 342332 346541 347944 352222 353495 353648 359290 363584 364780 365180 370760 370880 376960 386984 393328 399776 419957 426512 427915 433504 434930 442060 448960 454480 456320 461404 467077 468968 474734 476288 482144 483730 490048 491660 499720 507520 533140 541880 565409 565592 574678 574864 576755 583648 584288 586210 593216 595360 602680 605120 612560 615040 684664 693082 695888 704444 706990 707296 718580 727168 729560 730360 741520 741760 762073 773968 786656 799552 826367 839914 853024 855830 867008 869860 880555 884120 897920 908960 919087 922808 934154 937936 949468 964288 967460 980096 983320 999440 1066280 1083760 1112579 1113799 1130818 1131184 1149356 1149728 1153510 1167296 1168576 1172420 1186432 1186835 1190720 1205360 1210240 1225120 1348283 1369328 1386164 1391776 1408888 1413980 1414592 1436695 1437160 1459120 1460720 1483040 1499563 1524146 1547936 1573312 1599104 1626077 1652734 1679828 1706048 1711660 1732705 1734016 1739720 1761110 1768240 1817920 1838174 1845616 1868308 1875872 1898936 1928576 1934920 1966640 1998880 2099785 2132560 2167520 2191669 2225158 2227598 2261636 2262368 2298712 2299456 2307020 2334592 2335385 2337152 2344840 2373670 2381440 2410720 2450240 2653073 2696566 2738656 2772328 2783552 2817776 2827045 2827960 2829184 2873390 2874320 2918240 2921440 2966080 2999126 3048292 3095872 3146624 3252154 3305468 3359656 3412096 3423320 3465410 3479440 3522220 3536480 3575881 3635840 3676348 3691232 3736616 3751744 3797872 3810365 3869840 3933280 3997760 4131835 4199570 4265120 4335040 4383338 4450316 4455196 4523272 4524736 4595435 4597424 4598912 4614040 4670770 4689680 4747340 4821440 4900480 5306146 5393132 5459441 5477312 5544656 5562895 5567104 5568995 5635552 5654090 5655920 5746780 5748640 5836480 5842880 5932160 5998252 6096584 6191744 6504308 6610936 6719312 6741415 6846640 6930820 6958880 7044440 7072960 7151762 7352696 7382464 7473232 7497815 7503488 7595744 7620730 7739680 7866560 7995520 8130385 8263670 8399140 8530240 8670080 8766676 8900632 8910392 9046544 9049472 9190870 9194848 9228080 9341540 9379360 9494680 9642880 10612292 10742771 10786264 10918882 10954624 10958345 11089312 11125790 11137990 11271104 11308180 11311840 11493560 11497280 11672960 11685760 11996504 12193168 13008616 13221872 13265365 13438624 13482830 13693280 13861640 13917760 14088880 14145920 14303524 14479387 14705392 14764928 14946464 14995630 15191488 15241460 15479360 15733120 16260770 16527340 16798280 17060480 17527679 17533352 17801264 17820784 17879405 18093088 18381740 18389696 18456160 18683080 18758720 18989360 21139001 21224584 21485542 21572528 21837764 21916690 22178624 22251580 22275980 22542208 22616360 22623680 22987120 22994560 23993008 24386336 25617377 26017232 26443744 26530730 26877248 26965660 27297205 27386560 27723280 27835520 28177760 28491697 28607048 28958774 29410784 29892928 29991260 30382976 30482920 30958720 32521540 33054680 33596560 34489949 35055358 35066704 35602528 35641568 35758810 36186176 36763480 36779392 36912320 37366160 37517440 37978720 42278002 42449168 42971084 43145056 43675528 43833380 44357248 44503160 44551960 45232720 45247360 45974240 46486453 47986016 48772672 50408387 51234754 52034464 52887488 53061460 53713855 53754496 53931320 54594410 54773120 55446560 56355520 56983394 57214096 57917548 58821568 59785856 59982520 60965840 65043080 66109360 67193120 67941739 68979898 70110716 70133408 71205056 71283136 71517620 72372352 72396935 73526960 73824640 74732320 75957440 82245263 84556004 84898336 85942168 86290112 87351056 87638395 87666760 89006320 89103920 90465440 91948480 92972906 95972032 97545344 100816774 102469508 104068928 105695005 105774976 106122920 107427710 107862640 109188820 110893120 112711040 113966788 114428192 115835096 117643136 119965040 121931680 128086885 130086160 132218720 134386240 135883478 137959796 140221432 140266816 142410112 142458485 142566272 143035240 144793870 147053920 149464640 151914880 164490526 169112008 169796672 171884336 172449745 172580224 174702112 175276790 175333520 178012640 178207840 180930880 183896960 185945812 191944064 201633548 204939016 208137856 211390010 212245840 214855420 215725280 218377640 221786240 227933576 228856384 231670192 232432265 239930080 243863360 252041935 256173770 260172320 264437440 268772480 271766956 275919592 280442864 280533632 284916970 286070480 289587740 294107840 298929280 328981052 333025901 338224016 339593344 339708695 343768672 344899490 349404224 350553580 350667040 356025280 356415680 361861760 371891624 403267096 409878032 411226315 422780020 424491680 429710840 431450560 436755280 455867152 457712768 463340384 464864530 479860160 487726720 504083870 512347540 520344640 528874880 543533912 551839184 560885728 569833940 572140960 579175480 588215680 655309031 657962104 666051802 676448032 679417390 687537344 689798980 698808448 701107160 701334080 712050560 712831360 743783248 806534192 819756064 822452630 845560040 848983360 859421680 862901120 873510560 883242607 911734304 926680768 929729060 959720320 1008167740 1024695080 1040689280 1069188419 1087067824 1103678368 1121771456 1139667880 1144281920 1158350960 1310618062 1315924208 1332103604 1352896064 1358834780 1375074688 1379597960 1402214320 1402668160 1487566496 1562659997 1613068384 1639512128 1644905260 1665129505 1691120080 1697966720 1718843360 1747021120 1766485214 1823468608 1853361536 1859458120 2016335480 2049390160 2138376838 2174135648 2207356736 2243542912 2279335760 2288563840 2316701920 2621236124 2631848416 2664207208 2705792128 2717669560 2759195920 2804428640 2975132992 3125319994 3226136768 3276545155 3279024256 3289810520 3330259010 3382240160 3437686720 3494042240 3532970428 3646937216 3718916240 4032670960 4098780320 4276753676 4348271296 4414713472 4416213035 4558671520 4633403840 5242472248 5263696832 5328414416 5345942095 5435339120 5518391840 5608857280 5950265984 6250639988 6452273536 6553090310 6579621040 6660518020 6764480320 6875373440 7065940856 7437832480 7813299985 8065341920 8197560640 8553507352 8696542592 8832426070 9117343040 9266807680 10484944496 10527393664 10656828832 10691884190 10870678240 11036783680 11217714560 12501279976 13106180620 13159242080 13321036040 13528960640 14131881712 14875664960 15626599970 16130683840 16395121280 17107014704 17664852140 18234686080 20314579961 20969888992 21313657664 21383768380 21741356480 22073567360 25002559952 26212361240 26318484160 26642072080 28263763424 29751329920 31253199940 32261367680 34214029408 35329704280 40629159922 41939777984 42627315328 42767536760 43482712960 50005119904 52424722480 52636968320 53284144160 56527526848 62506399880 68428058816 70659408560 81258319844 83879555968 85535073520 100010239808 101572899805 104849444960 106568288320 113055053696 125012799760 136856117632 141318817120 162516639688 171070147040 200020479616 203145799610 209698889920 213136576640 250025599520 282637634240 325033279376 342140294080 406291599220 419397779840 500051199040 565275268480 650066558752 684280588160 812583198440 1000102398080 1300133117504 1625166396880 2600266235008 3250332793760 6500665587520 13001331175040
- Sum of all divisors σ(n): 38623025750400
- Sum of proper divisors (its aliquot sum) s(n): 25621694575360
- 13001331175040 is an abundant number, because the sum of its proper divisors (25621694575360) is greater than itself. Its abundance is 12620363400320
Bases of 13001331175040
- Binary: 101111010011000110111011100111101110100000002
- Hexadecimal: 0xBD31BB9EE80
- Base-36: 4LWQ8WARK
Squares and roots of 13001331175040
- 13001331175040 squared (130013311750402) is 169034612323066987119001600
- 13001331175040 cubed (130013311750403) is 2197674974856691375736521616439640064000
-
The
square root of 13001331175040 is 3605735.8715025147 -
The
cube root of 13001331175040 is 23514.1494236733
Scales and comparisons
How big is 13001331175040?- 13,001,331,175,040 seconds is equal to 413,402 years, 6 weeks, 1 hour, 57 minutes, 20 seconds.
-
To count from 1 to 13,001,331,175,040 would take you about one million, thirty-three thousand, five hundred five 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 13001331175040 cubic inches would be around 1959.5 feet tall.
Recreational maths with 13001331175040
- 13001331175040 backwards is 04057113310031
- The number of decimal digits it has is: 14
- The sum of 13001331175040's digits is 29
- More coming soon!
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The information we have on file for 13001331175040 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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