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134279064640 = 2657281383557
BaseRepresentation
bin111110100001110100…
…1111110110001000000
3110211121010202020210101
41331003221332301000
54200000420032030
6141404214212144
712462363134320
oct1750351766100
9424533666711
10134279064640
1151a47038796
1222035954054
13c87c573c46
1466db903280
15375d85e7ca
hex1f43a7ec40

134279064640 has 224 divisors, whose sum is σ = 368348995584. Its totient is φ = 45672775680.

The previous prime is 134279064637. The next prime is 134279064641. The reversal of 134279064640 is 46460972431.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (134279064641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 241075242 + ... + 241075798.

Almost surely, 2134279064640 is an apocalyptic number.

134279064640 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 134279064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184174497792).

134279064640 is an abundant number, since it is smaller than the sum of its proper divisors (234069930944).

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

134279064640 is a wasteful number, since it uses less digits than its factorization.

134279064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 134279064640 in words is "one hundred thirty-four billion, two hundred seventy-nine million, sixty-four thousand, six hundred forty".