1331485430400
1,331,485,430,400 is an even composite number composed of six prime numbers multiplied together.
1331485430400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1331485430400:
27 × 33 × 52 × 41 × 409 × 919
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 41 × 409 × 919)See below for interesting mathematical facts about the number 1331485430400 from the Numbermatics database.
Names of 1331485430400
- Cardinal: 1331485430400 can be written as One trillion, three hundred thirty-one billion, four hundred eighty-five million, four hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.3314854304 × 1012
Factors of 1331485430400
Divisors of 1331485430400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 82 90 96 100 108 120 123 128 135 144 150 160 164 180 192 200 205 216 225 240 246 270 288 300 320 328 360 369 384 400 409 410 432 450 480 492 540 576 600 615 640 656 675 720 738 800 818 820 864 900 919 960 984 1025 1080 1107 1152 1200 1227 1230 1312 1350 1440 1476 1600 1636 1640 1728 1800 1838 1845 1920 1968 2045 2050 2160 2214 2400 2454 2460 2624 2700 2757 2880 2952 3075 3200 3272 3280 3456 3600 3676 3681 3690 3936 4090 4100 4320 4428 4595 4800 4908 4920 5248 5400 5514 5535 5760 5904 6135 6150 6544 6560 7200 7352 7362 7380 7872 8180 8200 8271 8640 8856 9190 9225 9600 9816 9840 10225 10800 11028 11043 11070 11808 12270 12300 13088 13120 13785 14400 14704 14724 14760 15744 16360 16400 16542 16769 17280 17712 18380 18405 18450 19632 19680 20450 21600 22056 22086 22140 22975 23616 24540 24600 24813 26176 26240 27570 27675 28800 29408 29448 29520 30675 32720 32800 33084 33538 35424 36760 36810 36900 37679 39264 39360 40900 41355 43200 44112 44172 44280 45950 47232 49080 49200 49626 50307 52352 55140 55215 55350 58816 58896 59040 61350 65440 65600 66168 67076 68925 70848 73520 73620 73800 75358 78528 78720 81800 82710 83845 86400 88224 88344 88560 91900 92025 98160 98400 99252 100614 110280 110430 110700 113037 117632 117792 118080 122700 124065 130880 131200 132336 134152 137850 141696 147040 147240 147600 150716 150921 157056 163600 165420 167690 176448 176688 177120 183800 184050 188395 196320 196800 198504 201228 206775 220560 220860 221400 226074 235584 236160 245400 248130 251535 261760 264672 268304 275700 276075 294080 294480 295200 301432 301842 327200 330840 335380 339111 352896 353376 354240 367600 368100 375871 376790 392640 393600 397008 402456 413550 419225 441120 441720 442800 452148 452763 471168 490800 496260 503070 529344 536608 551400 552150 565185 588160 588960 590400 602864 603684 620325 654400 661680 670760 678222 706752 708480 735200 736200 751742 753580 754605 785280 794016 804912 827100 838450 882240 883440 885600 904296 905526 941975 981600 992520 1006140 1017333 1058688 1073216 1102800 1104300 1127613 1130370 1177920 1180800 1205728 1207368 1240650 1257675 1308800 1323360 1341520 1356444 1413504 1470400 1472400 1503484 1507160 1509210 1588032 1609824 1654200 1676900 1695555 1764480 1766880 1771200 1808592 1811052 1879355 1883950 1963200 1985040 2012280 2034666 2146432 2205600 2208600 2255226 2260740 2263815 2355840 2411456 2414736 2481300 2515350 2646720 2683040 2712888 2825925 2940800 2944800 3006968 3014320 3018420 3176064 3219648 3308400 3353800 3382839 3391110 3533760 3542400 3617184 3622104 3758710 3767900 3773025 3926400 3970080 4024560 4069332 4411200 4417200 4510452 4521480 4527630 4822912 4829472 4962600 5030700 5086665 5293440 5366080 5425776 5638065 5651850 5889600 6013936 6028640 6036840 6439296 6616800 6707600 6765678 6782220 7067520 7234368 7244208 7517420 7535800 7546050 7940160 8049120 8138664 8477775 8822400 8834400 9020904 9042960 9055260 9396775 9658944 9925200 10061400 10148517 10173330 10732160 10851552 11276130 11303700 11319075 11779200 12027872 12057280 12073680 13233600 13415200 13531356 13564440 14468736 14488416 15034840 15071600 15092100 15410711 15880320 16098240 16277328 16914195 16955550 17668800 18041808 18085920 18110520 18793550 19317888 19850400 20122800 20297034 20346660 21703104 22552260 22607400 22638150 24055744 24114560 24147360 25433325 26467200 26830400 27062712 27128880 28190325 28976832 30069680 30143200 30184200 30821422 32196480 32554656 33828390 33911100 35337600 36083616 36171840 36221040 37587100 39700800 40245600 40594068 40693320 43406208 45104520 45214800 45276300 46232133 48111488 48294720 50742585 50866650 53660800 54125424 54257760 56380650 57953664 60139360 60286400 60368400 61642844 65109312 67656780 67822200 72167232 72343680 72442080 75174200 77053555 79401600 80491200 81188136 81386640 84570975 90209040 90429600 90552600 92464266 96589440 101485170 101733300 108250848 108515520 112761300 120278720 120572800 120736800 123285688 130218624 135313560 135644400 138696399 144334464 144884160 150348400 154107110 160982400 162376272 162773280 169141950 180418080 180859200 181105200 184928532 202970340 203466600 216501696 217031040 225522600 231160665 240557440 241473600 246571376 253712925 270627120 271288800 277392798 289768320 300696800 308214220 324752544 325546560 338283900 360836160 361718400 362210400 369857064 385267775 405940680 406933200 416089197 433003392 451045200 462321330 482947200 493142752 507425850 541254240 542577600 554785596 601393600 616428440 649505088 651093120 676567800 693481995 721672320 724420800 739714128 770535550 811881360 813866400 832178394 902090400 924642660 986285504 1014851700 1082508480 1085155200 1109571192 1155803325 1202787200 1232856880 1299010176 1353135600 1386963990 1448841600 1479428256 1541071100 1623762720 1627732800 1664356788 1804180800 1849285320 1972571008 2029703400 2080445985 2165016960 2219142384 2311606650 2465713760 2706271200 2773927980 2958856512 3082142200 3247525440 3255465600 3328713576 3467409975 3608361600 3698570640 4059406800 4160891970 4438284768 4623213300 4931427520 5412542400 5547855960 5917713024 6164284400 6495050880 6657427152 6934819950 7397141280 8118813600 8321783940 8876569536 9246426600 9862855040 10402229925 10825084800 11095711920 12328568800 13314854304 13869639900 14794282560 16237627200 16643567880 17753139072 18492853200 20804459850 22191423840 24657137600 26629708608 27739279800 29588565120 32475254400 33287135760 36985706400 41608919700 44382847680 49314275200 53259417216 55478559600 66574271520 73971412800 83217839400 88765695360 110957119200 133148543040 147942825600 166435678800 221914238400 266297086080 332871357600 443828476800 665742715200 1331485430400
- Sum of all divisors σ(n): 5009366880000
- Sum of proper divisors (its aliquot sum) s(n): 3677881449600
- 1331485430400 is an abundant number, because the sum of its proper divisors (3677881449600) is greater than itself. Its abundance is 2346396019200
Bases of 1331485430400
- Binary: 100110110000000101011011101010010100000002
- Hexadecimal: 0x13602B75280
- Base-36: GZOC1PC0
Squares and roots of 1331485430400
- 1331485430400 squared (13314854304002) is 1772853451367473244160000
- 1331485430400 cubed (13314854304003) is 2360528540730145581060861886464000000
-
The
square root of 1331485430400 is 1153900.0955022059 -
The
cube root of 1331485430400 is 11001.3371112893
Scales and comparisons
How big is 1331485430400?- 1,331,485,430,400 seconds is equal to 42,337 years, 6 weeks, 1 day.
-
To count from 1 to 1,331,485,430,400 would take you about one hundred five thousand, eight hundred forty-two 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 1331485430400 cubic inches would be around 916.8 feet tall.
Recreational maths with 1331485430400
- 1331485430400 backwards is 0040345841331
- 1331485430400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1331485430400's digits is 36
- More coming soon!
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