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51110434045440 = 29335721117247101
BaseRepresentation
bin10111001111100000100110…
…10000111111111000000000
320200222002222000201110102000
423213300103100333320000
523144343132103423230
6300411450444424000
713523415126160200
oct1347602320777000
9220862860643360
1051110434045440
11153158a4632930
125895664b48000
1322699020ba423
14c89a8873c400
155d9776659b60
hex2e7c1343fe00

51110434045440 has 5760 divisors, whose sum is σ = 252419418408960. Its totient is φ = 9686089728000.

The previous prime is 51110434045399. The next prime is 51110434045453. The reversal of 51110434045440 is 4454043401115.

51110434045440 is a `hidden beast` number, since 5 + 1 + 1 + 104 + 3 + 4 + 0 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×511104340454402 (a number of 28 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 = 51110434045395 and 51110434045404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 506043901390 + ... + 506043901490.

It is an arithmetic number, because the mean of its divisors is an integer number (43822815696).

Almost surely, 251110434045440 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 51110434045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126209709204480).

51110434045440 is an abundant number, since it is smaller than the sum of its proper divisors (201308984363520).

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

51110434045440 is a wasteful number, since it uses less digits than its factorization.

51110434045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 51110434045440 its reverse (4454043401115), we get a palindrome (55564477446555).

The spelling of 51110434045440 in words is "fifty-one trillion, one hundred ten billion, four hundred thirty-four million, forty-five thousand, four hundred forty".