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3230364040416 = 25341677462769
BaseRepresentation
bin101111000000100000101…
…100110111110011100000
3102102211010121212000220000
4233000200230313303200
5410411241143243131
610512001520220000
7452246301202212
oct57004054676340
912384117760800
103230364040416
111035a98315957
1244209646a600
131a5811774ca6
14b24c99065b2
1559068750ce6
hex2f020b37ce0

3230364040416 has 120 divisors (see below), whose sum is σ = 9557300879280. Its totient is φ = 1070340037632.

The previous prime is 3230364040349. The next prime is 3230364040429. The reversal of 3230364040416 is 6140404630323.

3230364040416 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 3 + 640 + 4 + 0 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×32303640404162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3298521 + ... + 4164248.

It is an arithmetic number, because the mean of its divisors is an integer number (79644173994).

Almost surely, 23230364040416 is an apocalyptic number.

3230364040416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3230364040416 is an abundant number, since it is smaller than the sum of its proper divisors (6326936838864).

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

3230364040416 is a wasteful number, since it uses less digits than its factorization.

3230364040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462958 (or 7462941 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 3230364040416 its reverse (6140404630323), we get a palindrome (9370768670739).

The spelling of 3230364040416 in words is "three trillion, two hundred thirty billion, three hundred sixty-four million, forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 167 216 288 324 334 432 501 648 668 864 1002 1296 1336 1503 2004 2592 2672 3006 4008 4509 5344 6012 8016 9018 12024 13527 16032 18036 24048 27054 36072 48096 54108 72144 108216 144288 216432 432864 7462769 14925538 22388307 29851076 44776614 59702152 67164921 89553228 119404304 134329842 179106456 201494763 238808608 268659684 358212912 402989526 537319368 604484289 716425824 805979052 1074638736 1208968578 1246282423 1611958104 2149277472 2417937156 2492564846 3223916208 3738847269 4835874312 4985129692 6447832416 7477694538 9671748624 9970259384 11216541807 14955389076 19343497248 19940518768 22433083614 29910778152 33649625421 39881037536 44866167228 59821556304 67299250842 89732334456 100948876263 119643112608 134598501684 179464668912 201897752526 269197003368 358929337824 403795505052 538394006736 807591010104 1076788013472 1615182020208 3230364040416