Search a number
-
+
2034431330004 = 223256511981389
BaseRepresentation
bin11101100110101101100…
…011101000011011010100
321012111020000110122022200
4131212231203220123110
5231313003410030004
64154334351524500
7266661050660253
oct35465543503324
97174200418280
102034431330004
117148854a2717
1228a352b29730
13119acca0b918
147067764a79a
1537dc0b7d239
hex1d9ad8e86d4

2034431330004 has 18 divisors (see below), whose sum is σ = 5142590306490. Its totient is φ = 678143776656.

The previous prime is 2034431329939. The next prime is 2034431330023. The reversal of 2034431330004 is 4000331344302.

2034431330004 is a `hidden beast` number, since 2 + 0 + 3 + 44 + 313 + 300 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1558372729104 + 476058600900 = 1248348^2 + 689970^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2034431330004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28255990659 + ... + 28255990730.

Almost surely, 22034431330004 is an apocalyptic number.

It is an amenable number.

2034431330004 is an abundant number, since it is smaller than the sum of its proper divisors (3108158976486).

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

2034431330004 is a wasteful number, since it uses less digits than its factorization.

2034431330004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56511981399 (or 56511981394 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2034431330004 its reverse (4000331344302), we get a palindrome (6034762674306).

The spelling of 2034431330004 in words is "two trillion, thirty-four billion, four hundred thirty-one million, three hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 56511981389 113023962778 169535944167 226047925556 339071888334 508607832501 678143776668 1017215665002 2034431330004