Search a number
-
+
20321414300040 = 2335761433938167
BaseRepresentation
bin1001001111011011100101…
…01011100100000110001000
32122221201010022011200120120
410213231302223210012020
510130421224030100130
6111115310122023240
74165113406343010
oct447556253440610
978851108150516
1020321414300040
116525299659967
122342514647b20
13b453bb8048a9
145037c143ac40
1525391752c910
hex127b72ae4188

20321414300040 has 128 divisors (see below), whose sum is σ = 69684780072960. Its totient is φ = 4644137389824.

The previous prime is 20321414300029. The next prime is 20321414300051. The reversal of 20321414300040 is 4000341412302.

It is an interprime number because it is at equal distance from previous prime (20321414300029) and next prime (20321414300051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3191037 + ... + 7129203.

It is an arithmetic number, because the mean of its divisors is an integer number (544412344320).

Almost surely, 220321414300040 is an apocalyptic number.

20321414300040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321414300040 is an abundant number, since it is smaller than the sum of its proper divisors (49363365772920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20321414300040 is a wasteful number, since it uses less digits than its factorization.

20321414300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944331 (or 3944327 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20321414300040 its reverse (4000341412302), we get a palindrome (24321755712342).

The spelling of 20321414300040 in words is "twenty trillion, three hundred twenty-one billion, four hundred fourteen million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 6143 12286 18429 24572 30715 36858 43001 49144 61430 73716 86002 92145 122860 129003 147432 172004 184290 215005 245720 258006 344008 368580 430010 516012 645015 737160 860020 1032024 1290030 1720040 2580060 3938167 5160120 7876334 11814501 15752668 19690835 23629002 27567169 31505336 39381670 47258004 55134338 59072505 78763340 82701507 94516008 110268676 118145010 137835845 157526680 165403014 220537352 236290020 275671690 330806028 413507535 472580040 551343380 661612056 827015070 1102686760 1654030140 3308060280 24192159881 48384319762 72576479643 96768639524 120960799405 145152959286 169345119167 193537279048 241921598810 290305918572 338690238334 362882398215 483843197620 508035357501 580611837144 677380476668 725764796430 846725595835 967686395240 1016070715002 1354760953336 1451529592860 1693451191670 2032141430004 2540176787505 2903059185720 3386902383340 4064282860008 5080353575010 6773804766680 10160707150020 20321414300040