1338435604480
1,338,435,604,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 1338435604480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 416 divisors.
1338435604480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 1338435604480:
212 × 5 × 13 × 31 × 257 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 31 × 257 × 631)See below for interesting mathematical facts about the number 1338435604480 from the Numbermatics database.
Names of 1338435604480
- Cardinal: 1338435604480 can be written as One trillion, three hundred thirty-eight billion, four hundred thirty-five million, six hundred four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.33843560448 × 1012
Factors of 1338435604480
Divisors of 1338435604480
- Number of divisors d(n): 416
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 208 248 256 257 260 310 320 403 416 496 512 514 520 620 631 640 806 832 992 1024 1028 1040 1240 1262 1280 1285 1612 1664 1984 2015 2048 2056 2080 2480 2524 2560 2570 3155 3224 3328 3341 3968 4030 4096 4112 4160 4960 5048 5120 5140 6310 6448 6656 6682 7936 7967 8060 8203 8224 8320 9920 10096 10240 10280 12620 12896 13312 13364 15872 15934 16120 16406 16448 16640 16705 19561 19840 20192 20480 20560 25240 25792 26624 26728 31744 31868 32240 32812 32896 33280 33410 39122 39680 39835 40384 41015 41120 50480 51584 53248 53456 63488 63736 64480 65624 65792 66560 66820 78244 79360 79670 80768 82030 82240 97805 100960 103168 103571 106912 126976 127472 128960 131248 131584 133120 133640 156488 158720 159340 161536 162167 164060 164480 195610 201920 206336 207142 213824 254293 254944 257920 262496 263168 266240 267280 312976 317440 318680 323072 324334 328120 328960 391220 403840 412672 414284 427648 508586 509888 515840 517855 524992 526336 534560 625952 634880 637360 646144 648668 656240 657920 782440 807680 810835 825344 828568 855296 1017172 1019776 1031680 1035710 1049984 1052672 1069120 1251904 1271465 1274720 1292288 1297336 1312480 1315840 1564880 1615360 1621670 1650688 1657136 1710592 2034344 2039552 2063360 2071420 2099968 2108171 2138240 2503808 2542930 2549440 2584576 2594672 2624960 2631680 3129760 3230720 3243340 3314272 3421184 4068688 4079104 4126720 4142840 4199936 4216342 4276480 5007616 5027177 5085860 5098880 5189344 5249920 5263360 6259520 6461440 6486680 6628544 6842368 8137376 8158208 8253440 8285680 8399872 8432684 8552960 10015232 10054354 10171720 10197760 10378688 10499840 10540855 12519040 12922880 12973360 13257088 13684736 16274752 16316416 16571360 16799744 16865368 17105920 20030464 20108708 20343440 20395520 20757376 20999680 21081710 25038080 25135885 25946720 26514176 32549504 32632832 33142720 33599488 33730736 34211840 40060928 40217416 40686880 40791040 41514752 41999360 42163420 50076160 50271770 51893440 53028352 65099008 65353301 66285440 67461472 68423680 80121856 80434832 81373760 81582080 83029504 83998720 84326840 100152320 100543540 103786880 106056704 130198016 130706602 132570880 134922944 160869664 162747520 163164160 166059008 167997440 168653680 200304640 201087080 207573760 212113408 260396032 261413204 265141760 269845888 321739328 325495040 326766505 332118016 337307360 400609280 402174160 415147520 424226816 520792064 522826408 530283520 539691776 643478656 650990080 653533010 664236032 674614720 804348320 830295040 1041584128 1045652816 1060567040 1079383552 1286957312 1301980160 1307066020 1349229440 1608696640 1660590080 2091305632 2121134080 2158767104 2573914624 2603960320 2614132040 2698458880 3217393280 3321180160 4182611264 4317534208 5147829248 5207920640 5228264080 5396917760 6434786560 8365222528 8635068416 10295658496 10456528160 10793835520 12869573120 16730445056 20591316992 20913056320 21587671040 25739146240 33460890112 41826112640 43175342080 51478292480 66921780224 83652225280 102956584960 133843560448 167304450560 267687120896 334608901120 669217802240 1338435604480
- Sum of all divisors σ(n): 3590070478848
- Sum of proper divisors (its aliquot sum) s(n): 2251634874368
- 1338435604480 is an abundant number, because the sum of its proper divisors (2251634874368) is greater than itself. Its abundance is 913199269888
Bases of 1338435604480
- Binary: 100110111101000001111101010010000000000002
- Hexadecimal: 0x137A0FA9000
- Base-36: H2VA01Z4
Squares and roots of 1338435604480
- 1338435604480 squared (13384356044802) is 1791409867339742996070400
- 1338435604480 cubed (13384356044803) is 2397686748664305526473332088635392000
-
The
square root of 1338435604480 is 1156907.7769986681 -
The
cube root of 1338435604480 is 11020.4457328083
Scales and comparisons
How big is 1338435604480?- 1,338,435,604,480 seconds is equal to 42,558 years, 5 weeks, 5 days, 19 hours, 54 minutes, 40 seconds.
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To count from 1 to 1,338,435,604,480 would take you about one hundred six thousand, three hundred ninety-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 1338435604480 cubic inches would be around 918.4 feet tall.
Recreational maths with 1338435604480
- 1338435604480 backwards is 0844065348331
- The number of decimal digits it has is: 13
- The sum of 1338435604480's digits is 49
- More coming soon!
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