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134032976973 = 32722129142757
BaseRepresentation
bin111110011010011111…
…1001110110001001101
3110210221222200200222100
41330310333032301031
54143444420230343
6141323543505313
712453314335500
oct1746477166115
9423858620870
10134032976973
1151930137455
1221b87458239
13c8405a123c
1466b6d65137
153746e4e9d3
hex1f34fcec4d

134032976973 has 36 divisors (see below), whose sum is σ = 225319234140. Its totient is φ = 76553761536.

The previous prime is 134032976963. The next prime is 134032976983. The reversal of 134032976973 is 379679230431.

134032976973 is a `hidden beast` number, since 1 + 340 + 3 + 297 + 6 + 9 + 7 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (134032976963) and next prime (134032976983).

It can be written as a sum of positive squares in 2 ways, for example, as 32973838569 + 101059138404 = 181587^2 + 317898^2 .

It is not a de Polignac number, because 134032976973 - 213 = 134032968781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134032976963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 867511 + ... + 1010267.

It is an arithmetic number, because the mean of its divisors is an integer number (6258867615).

Almost surely, 2134032976973 is an apocalyptic number.

It is an amenable number.

134032976973 is a deficient number, since it is larger than the sum of its proper divisors (91286257167).

134032976973 is a wasteful number, since it uses less digits than its factorization.

134032976973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144906 (or 144896 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 134032976973 in words is "one hundred thirty-four billion, thirty-two million, nine hundred seventy-six thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 21 49 63 147 441 2129 6387 14903 19161 44709 104321 134127 142757 312963 428271 938889 999299 1284813 2997897 6995093 8993691 20985279 62955837 303929653 911788959 2127507571 2735366877 6382522713 14892552997 19147568139 44677658991 134032976973