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455400130135104 = 2632711235323336151
BaseRepresentation
bin110011110001011110001101…
…0111111001100010001000000
32012201102211100001222102111100
41213202330122333030101000
5434142233431303310404
64252315533122214400
7164631400521222360
oct14742743277142100
92181384301872440
10455400130135104
11122117124228010
12430ab71a1b4400
131671508160842b
1480656abb949a0
15379b008511d39
hex19e2f1afcc440

455400130135104 has 1344 divisors, whose sum is σ = 1737686765887488. Its totient is φ = 110528630784000.

The previous prime is 455400130135103. The next prime is 455400130135121. The reversal of 455400130135104 is 401531031004554.

455400130135104 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 0 + 0 + 130 + 1 + 3 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×4554001301351043 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (455400130135103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12597147429 + ... + 12597183579.

Almost surely, 2455400130135104 is an apocalyptic number.

455400130135104 is a gapful number since it is divisible by the number (44) 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 455400130135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868843382943744).

455400130135104 is an abundant number, since it is smaller than the sum of its proper divisors (1282286635752384).

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

455400130135104 is a wasteful number, since it uses less digits than its factorization.

455400130135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36496 (or 36483 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 455400130135104 its reverse (401531031004554), we get a palindrome (856931161139658).

The spelling of 455400130135104 in words is "four hundred fifty-five trillion, four hundred billion, one hundred thirty million, one hundred thirty-five thousand, one hundred four".