Search a number
-
+
4460400242604 = 2232123900006739
BaseRepresentation
bin100000011101000010010…
…0100100110111110101100
3120210102001221222022022100
41000322010210212332230
51041034344430230404
613253025105015100
7640152606333645
oct100720444467654
916712057868270
104460400242604
11146a710722239
12600557024490
132647c9a8baa7
14115c551c06cc
157b05a316d39
hex40e84926fac

4460400242604 has 18 divisors (see below), whose sum is σ = 11274900613340. Its totient is φ = 1486800080856.

The previous prime is 4460400242591. The next prime is 4460400242611. The reversal of 4460400242604 is 4062420040644.

4460400242604 is a `hidden beast` number, since 4 + 4 + 6 + 0 + 4 + 0 + 0 + 2 + 42 + 604 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 123900006739 = 4460400242604 / (4 + 4 + 6 + 0 + 4 + 0 + 0 + 2 + 4 + 2 + 6 + 0 + 4).

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 5 ways as a sum of consecutive naturals, for example, 61950003334 + ... + 61950003405.

Almost surely, 24460400242604 is an apocalyptic number.

It is an amenable number.

4460400242604 is an abundant number, since it is smaller than the sum of its proper divisors (6814500370736).

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

4460400242604 is a wasteful number, since it uses less digits than its factorization.

4460400242604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123900006749 (or 123900006744 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4460400242604 in words is "four trillion, four hundred sixty billion, four hundred million, two hundred forty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 123900006739 247800013478 371700020217 495600026956 743400040434 1115100060651 1486800080868 2230200121302 4460400242604