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553013041440 = 253523244120521
BaseRepresentation
bin10000000110000100010…
…01010101100100100000
31221212102102121020200210
420003002021111210200
533030032314311230
61102014540414120
754645115202436
oct10030211254440
91855372536623
10553013041440
111a3593499142
128b216b47340
13401c21ba052
141caa1b92d56
15e5b9c95eb0
hex80c2255920

553013041440 has 192 divisors, whose sum is σ = 1818563104512. Its totient is φ = 140993740800.

The previous prime is 553013041379. The next prime is 553013041457. The reversal of 553013041440 is 44140310355.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 553013041398 and 553013041407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26938380 + ... + 26958900.

It is an arithmetic number, because the mean of its divisors is an integer number (9471682836).

Almost surely, 2553013041440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553013041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909281552256).

553013041440 is an abundant number, since it is smaller than the sum of its proper divisors (1265550063072).

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

553013041440 is a wasteful number, since it uses less digits than its factorization.

553013041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23003 (or 22995 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 553013041440 its reverse (44140310355), we get a palindrome (597153351795).

The spelling of 553013041440 in words is "five hundred fifty-three billion, thirteen million, forty-one thousand, four hundred forty".