Search a number
-
+
944884030464 = 2103611235003
BaseRepresentation
bin11011011111111110111…
…10100001110000000000
310100022220121000002000000
431233333132201300000
5110440110302433324
62002023532000000
7125160051512133
oct15577736416000
93308817002000
10944884030464
113347a5447250
1213315b900000
136b143654a0a
1433a384a821a
15198a2bad9c9
hexdbff7a1c00

944884030464 has 616 divisors, whose sum is σ = 3224391691392. Its totient is φ = 273824686080.

The previous prime is 944884030429. The next prime is 944884030471. The reversal of 944884030464 is 464030488449.

944884030464 is a `hidden beast` number, since 94 + 488 + 4 + 0 + 30 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 944884030464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 188860987 + ... + 188865989.

Almost surely, 2944884030464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 944884030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612195845696).

944884030464 is an abundant number, since it is smaller than the sum of its proper divisors (2279507660928).

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

944884030464 is a wasteful number, since it uses less digits than its factorization.

944884030464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 944884030464 in words is "nine hundred forty-four billion, eight hundred eighty-four million, thirty thousand, four hundred sixty-four".