Search a number
-
+
23068344340704 = 2531318484250273
BaseRepresentation
bin1010011111011000001000…
…11110000101000011100000
310000200022102120200000101210
411033230010132011003200
511010422432122400304
6121021241234030120
74600430035420425
oct517540436050340
9100608376600353
1023068344340704
117394258a98513
122706971a18340
13cb4449238210
1459a729d07d4c
152a00d9694c89
hex14fb047850e0

23068344340704 has 48 divisors (see below), whose sum is σ = 65212434966672. Its totient is φ = 7097952104448.

The previous prime is 23068344340687. The next prime is 23068344340711. The reversal of 23068344340704 is 40704344386032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 9242123889 + ... + 9242126384.

It is an arithmetic number, because the mean of its divisors is an integer number (1358592395139).

Almost surely, 223068344340704 is an apocalyptic number.

23068344340704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23068344340704 is an abundant number, since it is smaller than the sum of its proper divisors (42144090625968).

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

23068344340704 is a wasteful number, since it uses less digits than its factorization.

23068344340704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18484250299 (or 18484250291 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 23068344340704 in words is "twenty-three trillion, sixty-eight billion, three hundred forty-four million, three hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 18484250273 36968500546 55452750819 73937001092 110905501638 147874002184 221811003276 240295253549 295748004368 443622006552 480590507098 591496008736 720885760647 887244013104 961181014196 1441771521294 1774488026208 1922362028392 2883543042588 3844724056784 5767086085176 7689448113568 11534172170352 23068344340704