1329812813824
1,329,812,813,824 is an even composite number composed of five prime numbers multiplied together.
1329812813824 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 1329812813824:
211 × 112 × 19 × 53 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 19 × 53 × 73 × 73)See below for interesting mathematical facts about the number 1329812813824 from the Numbermatics database.
Names of 1329812813824
- Cardinal: 1329812813824 can be written as One trillion, three hundred twenty-nine billion, eight hundred twelve million, eight hundred thirteen thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.329812813824 × 1012
Factors of 1329812813824
Divisors of 1329812813824
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 8 11 16 19 22 32 38 44 53 64 73 76 88 106 121 128 146 152 176 209 212 242 256 292 304 352 418 424 484 512 583 584 608 704 803 836 848 968 1007 1024 1166 1168 1216 1387 1408 1606 1672 1696 1936 2014 2048 2299 2332 2336 2432 2774 2816 3212 3344 3392 3869 3872 4028 4598 4664 4672 4864 5329 5548 5632 6413 6424 6688 6784 7738 7744 8056 8833 9196 9328 9344 9728 10658 11077 11096 11264 12826 12848 13376 13568 15257 15476 15488 16112 17666 18392 18656 18688 19456 21316 22154 22192 22528 25652 25696 26752 27136 30514 30952 30976 32224 35332 36784 37312 37376 38912 42559 42632 44308 44384 51304 51392 53504 54272 58619 61028 61904 61952 64448 70664 73511 73568 74624 74752 85118 85264 88616 88768 101251 102608 102784 107008 108544 117238 121847 122056 123808 123904 128896 141328 147022 147136 149248 149504 167827 170236 170528 177232 177536 202502 205216 205568 214016 234476 243694 244112 247616 247808 257792 282437 282656 294044 294272 298496 335654 340472 341056 354464 355072 405004 410432 411136 428032 468149 468952 487388 488224 495232 515584 564874 565312 588088 588544 596992 644809 671308 680944 682112 708928 710144 808621 810008 820864 822272 936298 937904 974776 976448 990464 1031168 1113761 1129748 1130624 1176176 1177088 1193984 1289618 1342616 1361888 1364224 1417856 1420288 1617242 1620016 1641728 1644544 1872596 1875808 1949552 1952896 1980928 2062336 2227522 2259496 2261248 2352352 2354176 2579236 2685232 2723776 2728448 2835712 2840576 3106807 3234484 3240032 3283456 3745192 3751616 3899104 3905792 3961856 4455044 4518992 4522496 4704704 4708352 5158472 5366303 5370464 5447552 5456896 5671424 6213614 6468968 6480064 6566912 7490384 7503232 7798208 7811584 7923712 8894831 8910088 9037984 9044992 9409408 10316944 10732606 10740928 10895104 10913792 11342848 12251371 12427228 12937936 12960128 13133824 14980768 15006464 15596416 15623168 17789662 17820176 18075968 18089984 18818816 20633888 21465212 21481856 21790208 22685696 24502742 24854456 25875872 25920256 29961536 30012928 31192832 31246336 34174877 35579324 35640352 36151936 37637632 41267776 42930424 42963712 43580416 49005484 49708912 51751744 51840512 59029333 59923072 60025856 62385664 68349754 71158648 71280704 72303872 75275264 82535552 85860848 85927424 87160832 98010968 99417824 103503488 103681024 118058666 119846144 120051712 124771328 136699508 142317296 142561408 144607744 150550528 165071104 171721696 171854848 196021936 198835648 207006976 207362048 236117332 239692288 249542656 273399016 284634592 285122816 289215488 330142208 343443392 343709696 392043872 397671296 414013952 472234664 479384576 546798032 569269184 570245632 578430976 649322663 660284416 686886784 784087744 795342592 828027904 944469328 958769152 1093596064 1138538368 1140491264 1298645326 1320568832 1373773568 1568175488 1590685184 1656055808 1888938656 2187192128 2277076736 2280982528 2597290652 2747547136 3136350976 3181370368 3777877312 4374384256 4554153472 5194581304 5495094272 6272701952 6362740736 7555754624 8748768512 9108306944 10389162608 10990188544 12545403904 15111509248 17497537024 18216613888 20778325216 25090807808 30223018496 34995074048 41556650432 60446036992 69990148096 83113300864 120892073984 166226601728 332453203456 664906406912 1329812813824
- Sum of all divisors σ(n): 3178075937400
- Sum of proper divisors (its aliquot sum) s(n): 1848263123576
- 1329812813824 is an abundant number, because the sum of its proper divisors (1848263123576) is greater than itself. Its abundance is 518450309752
Bases of 1329812813824
- Binary: 100110101100111110000010100111000000000002
- Hexadecimal: 0x1359F053800
- Base-36: GYWO7Q4G
Squares and roots of 1329812813824
- 1329812813824 squared (13298128138242) is 1768402119810504485502976
- 1329812813824 cubed (13298128138243) is 2351643798917533343539685930485940224
-
The
square root of 1329812813824 is 1153175.1011117089 -
The
cube root of 1329812813824 is 10996.7285418141
Scales and comparisons
How big is 1329812813824?- 1,329,812,813,824 seconds is equal to 42,283 years, 48 weeks, 4 days, 17 minutes, 4 seconds.
-
To count from 1 to 1,329,812,813,824 would take you about one hundred five thousand, seven hundred nine 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 1329812813824 cubic inches would be around 916.4 feet tall.
Recreational maths with 1329812813824
- 1329812813824 backwards is 4283182189231
- The number of decimal digits it has is: 13
- The sum of 1329812813824's digits is 52
- More coming soon!
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