Search a number
-
+
16044306432 = 212371131547
BaseRepresentation
bin11101111000101000…
…01011000000000000
31112102011012012210120
432330110023000000
5230324320301212
611212021100240
71105410232410
oct167424130000
945364165716
1016044306432
116893657990
123139257680
131688cc9c5b
14ac2bc6640
1563d84888c
hex3bc50b000

16044306432 has 416 divisors, whose sum is σ = 55156752384. Its totient is φ = 4025548800.

The previous prime is 16044306431. The next prime is 16044306433. The reversal of 16044306432 is 23460344061.

It is an interprime number because it is at equal distance from previous prime (16044306431) and next prime (16044306433).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 16044306393 and 16044306402.

It is not an unprimeable number, because it can be changed into a prime (16044306431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29331183 + ... + 29331729.

Almost surely, 216044306432 is an apocalyptic number.

16044306432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16044306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578376192).

16044306432 is an abundant number, since it is smaller than the sum of its proper divisors (39112445952).

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

16044306432 is a wasteful number, since it uses less digits than its factorization.

16044306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 16044306432 in words is "sixteen billion, forty-four million, three hundred six thousand, four hundred thirty-two".