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134144198496 = 2534721196017
BaseRepresentation
bin111110011101110011…
…1100000011101100000
3110211020201222100020000
41330323213200131200
54144211403322441
6141342555420000
712456134605500
oct1747347403540
9424221870200
10134144198496
11519879a2870
1221bb8754600
13c85a6435a9
1466c7a37a00
153751abe2b6
hex1f3b9e0760

134144198496 has 360 divisors, whose sum is σ = 500650526376. Its totient is φ = 34842286080.

The previous prime is 134144198431. The next prime is 134144198521. The reversal of 134144198496 is 694891441431.

It is a happy number.

134144198496 is a `hidden beast` number, since 1 + 3 + 4 + 144 + 1 + 9 + 8 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1349080 + ... + 1445096.

Almost surely, 2134144198496 is an apocalyptic number.

134144198496 is a gapful number since it is divisible by the number (16) 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 134144198496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250325263188).

134144198496 is an abundant number, since it is smaller than the sum of its proper divisors (366506327880).

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

134144198496 is a wasteful number, since it uses less digits than its factorization.

134144198496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96064 (or 96040 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 134144198496 in words is "one hundred thirty-four billion, one hundred forty-four million, one hundred ninety-eight thousand, four hundred ninety-six".