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655520041440 = 25325112971101199
BaseRepresentation
bin10011000101000000000…
…10100000100111100000
32022200000022121101102100
421202200002200213200
541220001112311230
61221050341250400
765234253263025
oct11424002404740
92280008541370
10655520041440
11233005a79470
12a7064403a00
1349a7a20a134
1423a27b6754c
15120b9140660
hex98a00a09e0

655520041440 has 1152 divisors, whose sum is σ = 2598365952000. Its totient is φ = 149022720000.

The previous prime is 655520041321. The next prime is 655520041481. The reversal of 655520041440 is 44140025556.

655520041440 is a `hidden beast` number, since 6 + 5 + 5 + 5 + 200 + 4 + 1 + 440 = 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 = 655520041395 and 655520041404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3294070461 + ... + 3294070659.

It is an arithmetic number, because the mean of its divisors is an integer number (2255526000).

Almost surely, 2655520041440 is an apocalyptic number.

655520041440 is a gapful number since it is divisible by the number (60) 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 655520041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299182976000).

655520041440 is an abundant number, since it is smaller than the sum of its proper divisors (1942845910560).

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

655520041440 is a wasteful number, since it uses less digits than its factorization.

655520041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 655520041440 its reverse (44140025556), we get a palindrome (699660066996).

The spelling of 655520041440 in words is "six hundred fifty-five billion, five hundred twenty million, forty-one thousand, four hundred forty".