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134318003600 = 245211238315991
BaseRepresentation
bin111110100010111111…
…0100001010110010000
3110211200212000120000002
41331011332201112100
54200040402103400
6141412124545132
712463345123064
oct1750576412620
9424625016002
10134318003600
1151a67014150
12220469b21a8
13c887658851
146702b5baa4
153761ea1ed5
hex1f45fa1590

134318003600 has 240 divisors, whose sum is σ = 371790203904. Its totient is φ = 46153536000.

The previous prime is 134318003549. The next prime is 134318003719. The reversal of 134318003600 is 6300813431.

It is a super-2 number, since 2×1343180036002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8391605 + ... + 8407595.

Almost surely, 2134318003600 is an apocalyptic number.

134318003600 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 134318003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185895101952).

134318003600 is an abundant number, since it is smaller than the sum of its proper divisors (237472200304).

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

134318003600 is a wasteful number, since it uses less digits than its factorization.

134318003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16126 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 134318003600 in words is "one hundred thirty-four billion, three hundred eighteen million, three thousand, six hundred".