1313657594144
1,313,657,594,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 1313657594144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
1313657594144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 1313657594144:
25 × 72 × 192 × 31 × 43 × 1741
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 19 × 19 × 31 × 43 × 1741)See below for interesting mathematical facts about the number 1313657594144 from the Numbermatics database.
Names of 1313657594144
- Cardinal: 1313657594144 can be written as One trillion, three hundred thirteen billion, six hundred fifty-seven million, five hundred ninety-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.313657594144 × 1012
Factors of 1313657594144
Divisors of 1313657594144
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 7 8 14 16 19 28 31 32 38 43 49 56 62 76 86 98 112 124 133 152 172 196 217 224 248 266 301 304 344 361 392 434 496 532 589 602 608 688 722 784 817 868 931 992 1064 1178 1204 1333 1376 1444 1519 1568 1634 1736 1741 1862 2107 2128 2356 2408 2527 2666 2888 3038 3268 3472 3482 3724 4123 4214 4256 4712 4816 5054 5332 5719 5776 6076 6536 6944 6964 7448 8246 8428 9331 9424 9632 10108 10664 11191 11438 11552 12152 12187 13072 13928 14896 15523 16492 16856 17689 18662 18848 20216 21328 22382 22876 24304 24374 25327 26144 27856 28861 29792 31046 32984 33079 33712 35378 37324 40033 40432 42656 44764 45752 48608 48748 50654 53971 55712 57722 62092 65317 65968 66158 67424 70756 74648 74863 78337 80066 80864 85309 89528 91504 97496 101308 107942 108661 115444 124184 130634 131936 132316 141512 149296 149726 156674 160132 170618 177289 179056 183008 194992 202616 215884 217322 230888 231553 248368 261268 264632 283024 298592 299452 313348 320264 341236 354578 358112 377797 389984 405232 431768 434644 461776 463106 481213 496736 522536 524041 529264 548359 566048 598904 626696 628501 640528 682472 709156 755594 760627 810464 863536 869288 923552 926212 962426 1025449 1045072 1048082 1058528 1096718 1197808 1241023 1253392 1257002 1281056 1364944 1418312 1422397 1511188 1521254 1620871 1727072 1738576 1852424 1924852 2050898 2090144 2096164 2193436 2320753 2395616 2482046 2506784 2514004 2644579 2729888 2836624 2844794 3022376 3042508 3241742 3368491 3477152 3668287 3704848 3849704 4101796 4192328 4386872 4399507 4641506 4964092 5028008 5289158 5673248 5689588 6044752 6085016 6483484 6736982 7178143 7336574 7409696 7699408 8203592 8384656 8773744 8799014 9283012 9928184 9956779 10056016 10578316 11379176 12089504 12170032 12966968 13473964 14356286 14673148 15398816 16245271 16407184 16769312 17547488 17598028 18566024 19483531 19856368 19913558 20112032 21156632 22758352 23579437 24340064 25933936 26947928 27025543 28712572 29346296 30796549 32490542 32814368 35196056 37132048 38967062 39712736 39827116 42313264 44094307 45516704 47158874 50247001 51867872 53895856 54051086 57425144 58692592 61593098 64981084 69697453 70392112 74264096 77934124 79654232 84626528 88188614 94317748 100494002 107791712 108102172 113716897 114850288 117385184 123186196 129962168 136384717 139394906 140784224 155868248 159308464 176377228 188635496 189178801 200988004 216204344 227433794 229700576 246372392 259924336 272769434 278789812 308660149 311736496 318616928 352754456 377270992 378357602 401976008 432408688 454867588 492744784 519848672 545538868 557579624 617320298 623472992 705508912 754541984 756715204 803952016 837791833 864817376 909735176 954693019 985489568 1091077736 1115159248 1234640596 1324251607 1411017824 1513430408 1607904032 1675583666 1819470352 1909386038 2160621043 2182155472 2230318496 2469281192 2648503214 3026860816 3351167332 3638940704 3818772076 4321242086 4364310944 4938562384 5297006428 5864542831 6053721632 6702334664 7637544152 8642484172 9877124768 10594012856 11729085662 13404669328 15275088304 17284968344 21188025712 23458171324 26809338656 30550176608 34569936688 41051799817 42376051424 46916342648 69139873376 82103599634 93832685296 164207199268 187665370592 328414398536 656828797072 1313657594144
- Sum of all divisors σ(n): 3355762265856
- Sum of proper divisors (its aliquot sum) s(n): 2042104671712
- 1313657594144 is an abundant number, because the sum of its proper divisors (2042104671712) is greater than itself. Its abundance is 728447077568
Bases of 1313657594144
- Binary: 100110001110111000001100000100001001000002
- Hexadecimal: 0x131DC182120
- Base-36: GRHHTAU8
Squares and roots of 1313657594144
- 1313657594144 squared (13136575941442) is 1725696274652202223092736
- 1313657594144 cubed (13136575941443) is 2266974016382875422739371932762537984
-
The
square root of 1313657594144 is 1146149.0278947149 -
The
cube root of 1313657594144 is 10952.0157646313
Scales and comparisons
How big is 1313657594144?- 1,313,657,594,144 seconds is equal to 41,770 years, 12 weeks, 6 days, 7 hours, 15 minutes, 44 seconds.
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To count from 1 to 1,313,657,594,144 would take you about one hundred four thousand, four hundred twenty-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 1313657594144 cubic inches would be around 912.7 feet tall.
Recreational maths with 1313657594144
- 1313657594144 backwards is 4414957563131
- The number of decimal digits it has is: 13
- The sum of 1313657594144's digits is 53
- More coming soon!
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