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134266510440 = 2335517597853
BaseRepresentation
bin111110100001011101…
…0000101110001101000
3110211120021010102200000
41331002322011301220
54144434211313230
6141403045143000
712462151336206
oct1750272056150
9424507112600
10134266510440
1151a3aa43617
12220316baa60
13c879a9991a
1466d9d96076
15375c6ceb60
hex1f42e85c68

134266510440 has 192 divisors, whose sum is σ = 452842790400. Its totient is φ = 35779491072.

The previous prime is 134266510397. The next prime is 134266510451. The reversal of 134266510440 is 44015662431.

134266510440 is a `hidden beast` number, since 1 + 3 + 42 + 66 + 510 + 4 + 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 = 134266510395 and 134266510404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17093554 + ... + 17101406.

It is an arithmetic number, because the mean of its divisors is an integer number (2358556200).

Almost surely, 2134266510440 is an apocalyptic number.

134266510440 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 134266510440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226421395200).

134266510440 is an abundant number, since it is smaller than the sum of its proper divisors (318576279960).

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

134266510440 is a wasteful number, since it uses less digits than its factorization.

134266510440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9638 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 134266510440 in words is "one hundred thirty-four billion, two hundred sixty-six million, five hundred ten thousand, four hundred forty".