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34004304402223 = 3141193138621641
BaseRepresentation
bin1111011101101001111100…
…11111000001011100101111
311110101210001102212202012211
413232310332133001130233
513424111303411332343
6200153210051311251
710106505235252051
oct756647637013457
9143353042782184
1034004304402223
11a920165387831
1239923188ab527
1315c8790c38b3c
14857b6223b8d1
153de7e3ad779d
hex1eed3e7c172f

34004304402223 has 16 divisors (see below), whose sum is σ = 36143652448512. Its totient is φ = 31938425856000.

The previous prime is 34004304402221. The next prime is 34004304402241. The reversal of 34004304402223 is 32220440340043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34004304402223 - 21 = 34004304402221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004304402221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69065518 + ... + 69556123.

It is an arithmetic number, because the mean of its divisors is an integer number (2258978278032).

Almost surely, 234004304402223 is an apocalyptic number.

34004304402223 is a deficient number, since it is larger than the sum of its proper divisors (2139348046289).

34004304402223 is a wasteful number, since it uses less digits than its factorization.

34004304402223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138621906.

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 34004304402223 its reverse (32220440340043), we get a palindrome (66224744742266).

The spelling of 34004304402223 in words is "thirty-four trillion, four billion, three hundred four million, four hundred two thousand, two hundred twenty-three".

Divisors: 1 31 41 193 1271 5983 7913 245303 138621641 4297270871 5683487281 26753976713 176188105711 829373278103 1096913045233 34004304402223