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104455114400 = 255271321937157
BaseRepresentation
bin110000101001000000…
…0101000111010100000
3100222121122201121021202
41201102000220322200
53202411002130100
6115552551340332
710355331552140
oct1412200507240
9328548647252
10104455114400
114033220952a
12182b19816a8
139b087cba00
1450aca04920
152ab540d7d5
hex1852028ea0

104455114400 has 864 divisors, whose sum is σ = 343331775360. Its totient is φ = 30277877760.

The previous prime is 104455114391. The next prime is 104455114411. The reversal of 104455114400 is 4411554401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 665319122 + ... + 665319278.

It is an arithmetic number, because the mean of its divisors is an integer number (397374740).

Almost surely, 2104455114400 is an apocalyptic number.

104455114400 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 104455114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171665887680).

104455114400 is an abundant number, since it is smaller than the sum of its proper divisors (238876660960).

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

104455114400 is a wasteful number, since it uses less digits than its factorization.

104455114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 104455114400 its reverse (4411554401), we get a palindrome (108866668801).

The spelling of 104455114400 in words is "one hundred four billion, four hundred fifty-five million, one hundred fourteen thousand, four hundred".