Search a number
-
+
113454325454400 = 26325271609699527
BaseRepresentation
bin11001110010111110100100…
…110001000101011001000000
3112212201010110000022110010200
4121302332210301011121000
5104332313424304020100
61041144110402325200
732616542643440640
oct3162764461053100
9485633400273120
10113454325454400
1133171788a75217
1210884260059800
134b3c90a371888
14200330bd9c520
15d1b319d05e00
hex672fa4c45640

113454325454400 has 504 divisors, whose sum is σ = 461136748275840. Its totient is φ = 25916263096320.

The previous prime is 113454325454389. The next prime is 113454325454423. The reversal of 113454325454400 is 4454523454311.

113454325454400 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 54 + 3 + 2 + 54 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161837437 + ... + 162536963.

Almost surely, 2113454325454400 is an apocalyptic number.

113454325454400 is a gapful number since it is divisible by the number (10) 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 113454325454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230568374137920).

113454325454400 is an abundant number, since it is smaller than the sum of its proper divisors (347682422821440).

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

113454325454400 is a wasteful number, since it uses less digits than its factorization.

113454325454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701171 (or 701153 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 113454325454400 in words is "one hundred thirteen trillion, four hundred fifty-four billion, three hundred twenty-five million, four hundred fifty-four thousand, four hundred".