1338932080640
1,338,932,080,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1338932080640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 832 divisors.
1338932080640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 1338932080640:
212 × 5 × 7 × 11 × 31 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 31 × 61 × 449)See below for interesting mathematical facts about the number 1338932080640 from the Numbermatics database.
Names of 1338932080640
- Cardinal: 1338932080640 can be written as One trillion, three hundred thirty-eight billion, nine hundred thirty-two million, eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.33893208064 × 1012
Factors of 1338932080640
Divisors of 1338932080640
- Number of divisors d(n): 832
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 31 32 35 40 44 55 56 61 62 64 70 77 80 88 110 112 122 124 128 140 154 155 160 176 217 220 224 244 248 256 280 305 308 310 320 341 352 385 427 434 440 448 449 488 496 512 560 610 616 620 640 671 682 704 770 854 868 880 896 898 976 992 1024 1085 1120 1220 1232 1240 1280 1342 1364 1408 1540 1705 1708 1736 1760 1792 1796 1891 1952 1984 2048 2135 2170 2240 2245 2387 2440 2464 2480 2560 2684 2728 2816 3080 3143 3355 3410 3416 3472 3520 3584 3592 3782 3904 3968 4096 4270 4340 4480 4490 4697 4774 4880 4928 4939 4960 5120 5368 5456 5632 6160 6286 6710 6820 6832 6944 7040 7168 7184 7564 7808 7936 8540 8680 8960 8980 9394 9455 9548 9760 9856 9878 9920 10240 10736 10912 11264 11935 12320 12572 13237 13420 13640 13664 13888 13919 14080 14336 14368 15128 15616 15715 15872 17080 17360 17920 17960 18788 18910 19096 19520 19712 19756 19840 20480 20801 21472 21824 22528 23485 23870 24640 24695 25144 26474 26840 27280 27328 27389 27776 27838 28160 28672 28736 30256 31232 31430 31744 34160 34573 34720 35840 35920 37576 37820 38192 39040 39424 39512 39680 41602 42944 43648 45056 46970 47740 49280 49390 50288 52948 53680 54560 54656 54778 55552 55676 56320 57472 60512 62464 62860 63488 66185 68320 69146 69440 69595 71680 71840 75152 75640 76384 78080 78848 79024 79360 83204 85888 87296 93940 95480 97433 98560 98780 100576 104005 105896 107360 109120 109312 109556 111104 111352 112640 114944 121024 124928 125720 126976 132370 136640 136945 138292 138880 139190 143360 143680 145607 150304 151280 152768 153109 156160 157696 158048 158720 166408 171776 172865 174592 187880 190960 191723 194866 197120 197560 201152 208010 211792 214720 218240 218624 219112 222208 222704 225280 229888 242048 249856 251440 264740 273280 273890 276584 277760 278380 287360 291214 300608 301279 302560 305536 306218 312320 315392 316096 317440 332816 343552 345730 349184 375760 381920 383446 389732 394240 395120 402304 416020 423584 429440 436480 437248 438224 444416 445408 459776 484096 487165 502880 529480 546560 547780 553168 555520 556760 574720 582428 601216 602558 605120 611072 612436 624640 632192 634880 665632 687104 691460 698368 728035 751520 763840 765545 766892 779464 788480 790240 804608 832040 847168 849059 858880 872960 874496 876448 888832 890816 919552 958615 968192 974330 1005760 1058960 1071763 1093120 1095560 1106336 1111040 1113520 1149440 1164856 1202432 1205116 1210240 1222144 1224872 1249280 1264384 1331264 1374208 1382920 1396736 1456070 1503040 1506395 1527680 1531090 1533784 1558928 1576960 1580480 1609216 1664080 1694336 1698118 1717760 1745920 1748992 1752896 1781632 1839104 1917230 1936384 1948660 2011520 2108953 2117920 2143526 2186240 2191120 2212672 2222080 2227040 2298880 2329712 2404864 2410232 2420480 2444288 2449744 2528768 2662528 2748416 2765840 2912140 3006080 3012790 3055360 3062180 3067568 3117856 3160960 3218432 3328160 3388672 3396236 3435520 3491840 3505792 3563264 3834460 3872768 3897320 4023040 4217906 4235840 4245295 4287052 4372480 4382240 4425344 4444160 4454080 4597760 4659424 4809728 4820464 4840960 4888576 4899488 5057536 5325056 5358815 5531680 5824280 5943413 6012160 6025580 6110720 6124360 6135136 6235712 6321920 6436864 6656320 6777344 6792472 6871040 6983680 7011584 7126528 7668920 7745536 7794640 8046080 8435812 8471680 8490590 8574104 8744960 8764480 8850688 8908160 9195520 9318848 9339649 9619456 9640928 9681920 9777152 9798976 10115072 10544765 10650112 10717630 11063360 11648560 11886826 12024320 12051160 12221440 12248720 12270272 12471424 12643840 12873728 13312640 13554688 13584944 13742080 14023168 14253056 15337840 15589280 16092160 16871624 16943360 16981180 17148208 17528960 17701376 17816320 18637696 18679298 19238912 19281856 19363840 19597952 20230144 21089530 21300224 21435260 22126720 23297120 23773652 24048640 24102320 24442880 24497440 24540544 24942848 25287680 26625280 27109376 27169888 28046336 28506112 29717065 30675680 31178560 32184320 33743248 33886720 33962360 34296416 35057920 35402752 35632640 37275392 37358596 38563712 38727680 39195904 42179060 42600448 42870520 44253440 46594240 46698245 47547304 48097280 48204640 48885760 48994880 49081088 49885696 50575360 53250560 54218752 54339776 56092672 57012224 59434130 61351360 62357120 64368640 65377543 67486496 67773440 67924720 68592832 70115840 70805504 71265280 74550784 74717192 77127424 78391808 84358120 85200896 85741040 88506880 93188480 93396490 95094608 96194560 96409280 97989760 98162176 99771392 101150720 106501120 108679552 112185344 118868260 122702720 124714240 130755086 134972992 135546880 135849440 137185664 140231680 141611008 142530560 149101568 149434384 154254848 156783616 168716240 171482080 177013760 186376960 186792980 190189216 192818560 195979520 196324352 199542784 213002240 217359104 237736520 245405440 249428480 261510172 269945984 271093760 271698880 274371328 280463360 285061120 298203136 298868768 308509696 313567232 326887715 337432480 342964160 354027520 372753920 373585960 380378432 385637120 391959040 392648704 399085568 426004480 434718208 475473040 490810880 498856960 523020344 539891968 543397760 548742656 560926720 596406272 597737536 617019392 627134464 653775430 674864960 685928320 708055040 745507840 747171920 760756864 771274240 783918080 785297408 869436416 950946080 981621760 997713920 1046040688 1079783936 1086795520 1097485312 1195475072 1234038784 1307550860 1349729920 1371856640 1491015680 1494343840 1521513728 1542548480 1567836160 1738872832 1901892160 1963243520 1995427840 2092081376 2159567872 2173591040 2194970624 2390950144 2615101720 2699459840 2743713280 2982031360 2988687680 3043027456 3085096960 3135672320 3477745664 3803784320 3926487040 4184162752 4319135744 4347182080 4389941248 4781900288 5230203440 5398919680 5487426560 5977375360 6086054912 6170193920 7607568640 8368325504 8638271488 8694364160 9563800576 10460406880 10797839360 10974853120 11954750720 12172109824 15215137280 16736651008 17388728320 19127601152 20920813760 21595678720 21949706240 23909501440 24344219648 30430274560 33473302016 38255202304 41841627520 43191357440 47819002880 60860549120 66946604032 83683255040 95638005760 121721098240 133893208064 167366510080 191276011520 267786416128 334733020160 669466040320 1338932080640
- Sum of all divisors σ(n): 4212244684800
- Sum of proper divisors (its aliquot sum) s(n): 2873312604160
- 1338932080640 is an abundant number, because the sum of its proper divisors (2873312604160) is greater than itself. Its abundance is 1534380523520
Bases of 1338932080640
- Binary: 100110111101111101001001000110000000000002
- Hexadecimal: 0x137BE923000
- Base-36: H33HL9FK
Squares and roots of 1338932080640
- 1338932080640 squared (13389320806402) is 1792739116566959462809600
- 1338932080640 cubed (13389320806403) is 2400355915389714527418194428166144000
-
The
square root of 1338932080640 is 1157122.3274312875 -
The
cube root of 1338932080640 is 11021.8081971125
Scales and comparisons
How big is 1338932080640?- 1,338,932,080,640 seconds is equal to 42,573 years, 46 weeks, 5 days, 1 hour, 57 minutes, 20 seconds.
-
To count from 1 to 1,338,932,080,640 would take you about one hundred six thousand, four hundred thirty-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 1338932080640 cubic inches would be around 918.5 feet tall.
Recreational maths with 1338932080640
- 1338932080640 backwards is 0460802398331
- The number of decimal digits it has is: 13
- The sum of 1338932080640's digits is 47
- More coming soon!
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