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113355325440 = 216325717219
BaseRepresentation
bin110100110010010000…
…0010000000000000000
3101211120221001011120200
41221210200100000000
53324122430403230
6124024050005200
711122023240240
oct1514440200000
9354527034520
10113355325440
114408a142845
1219b76576800
13a8c66b0586
1456b4a81b20
152e36978160
hex1a64810000

113355325440 has 1224 divisors, whose sum is σ = 502180186560. Its totient is φ = 23102226432.

The previous prime is 113355325411. The next prime is 113355325469. The reversal of 113355325440 is 44523553311.

113355325440 is a `hidden beast` number, since 1 + 1 + 3 + 35 + 532 + 54 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (113355325411) and next prime (113355325469).

It is a tau number, because it is divible by the number of its divisors (1224).

It is a super-2 number, since 2×1133553254402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113355325395 and 113355325404.

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, 5966069751 + ... + 5966069769.

Almost surely, 2113355325440 is an apocalyptic number.

113355325440 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 113355325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251090093280).

113355325440 is an abundant number, since it is smaller than the sum of its proper divisors (388824861120).

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

113355325440 is an equidigital number, since it uses as much as digits as its factorization.

113355325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 113355325440 its reverse (44523553311), we get a palindrome (157878878751).

The spelling of 113355325440 in words is "one hundred thirteen billion, three hundred fifty-five million, three hundred twenty-five thousand, four hundred forty".