Search a number
-
+
914130074880 = 2836511293783
BaseRepresentation
bin11010100110101100110…
…01011111110100000000
310020101112022000021000000
431103112121133310000
5104434114244344010
61535540124000000
7123020665301061
oct15232631376400
93211468007000
10914130074880
11322753661230
121291b8390000
136828200b869
143235bc7c568
1518ba2ca57c0
hexd4d665fd00

914130074880 has 2016 divisors, whose sum is σ = 3850859698560. Its totient is φ = 205674577920.

The previous prime is 914130074873. The next prime is 914130074881. The reversal of 914130074880 is 88470031419.

It is a happy number.

914130074880 is a `hidden beast` number, since 91 + 413 + 0 + 0 + 74 + 8 + 80 = 666.

914130074880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9141300748802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914130074881) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 11013615319 + ... + 11013615401.

It is an arithmetic number, because the mean of its divisors is an integer number (1910148660).

Almost surely, 2914130074880 is an apocalyptic number.

914130074880 is a gapful number since it is divisible by the number (90) 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 914130074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925429849280).

914130074880 is an abundant number, since it is smaller than the sum of its proper divisors (2936729623680).

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

914130074880 is a wasteful number, since it uses less digits than its factorization.

914130074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 914130074880 in words is "nine hundred fourteen billion, one hundred thirty million, seventy-four thousand, eight hundred eighty".