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134087342004 = 22347116797827
BaseRepresentation
bin111110011100000111…
…0100111011110110100
3110211002202222201210000
41330320032213132310
54144102324421004
6141333205031300
712454544413230
oct1747016473664
9424082881700
10134087342004
1151958899730
1221ba16b5530
13c84b9273b5
1466c02775c0
15374badcc39
hex1f383a77b4

134087342004 has 480 divisors, whose sum is σ = 448662703104. Its totient is φ = 33913313280.

The previous prime is 134087341957. The next prime is 134087342017. The reversal of 134087342004 is 400243780431.

134087342004 is a `hidden beast` number, since 1 + 340 + 87 + 34 + 200 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134087342004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 162136639 + ... + 162137465.

Almost surely, 2134087342004 is an apocalyptic number.

134087342004 is a gapful number since it is divisible by the number (14) 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 134087342004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224331351552).

134087342004 is an abundant number, since it is smaller than the sum of its proper divisors (314575361100).

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

134087342004 is a wasteful number, since it uses less digits than its factorization.

134087342004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 134087342004 in words is "one hundred thirty-four billion, eighty-seven million, three hundred forty-two thousand, four".