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104523445440 = 2633553228257
BaseRepresentation
bin110000101011000010…
…1010011010011000000
3100222210102022011212000
41201112011103103000
53203031000223230
6120003432104000
710360121425041
oct1412605232300
9328712264760
10104523445440
114036783a667
1218310835000
139b19a0498b
1450b7b108c8
152abb409b60
hex18561534c0

104523445440 has 224 divisors, whose sum is σ = 375694407360. Its totient is φ = 27346894848.

The previous prime is 104523445423. The next prime is 104523445441. The reversal of 104523445440 is 44544325401.

104523445440 is a `hidden beast` number, since 1 + 0 + 4 + 523 + 44 + 54 + 40 = 666.

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 = 104523445395 and 104523445404.

It is not an unprimeable number, because it can be changed into a prime (104523445441) 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, 343792 + ... + 572048.

Almost surely, 2104523445440 is an apocalyptic number.

104523445440 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 104523445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187847203680).

104523445440 is an abundant number, since it is smaller than the sum of its proper divisors (271170961920).

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

104523445440 is a wasteful number, since it uses less digits than its factorization.

104523445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228336 (or 228320 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 104523445440 in words is "one hundred four billion, five hundred twenty-three million, four hundred forty-five thousand, four hundred forty".