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134277641879329 = 134685672
BaseRepresentation
bin11110100001111111110011…
…001001010011111100100001
3122121102211001201212210202201
4132201333303021103330201
5120100001102310114304
61153330144101013201
740166145066563044
oct3641776311237441
9577384051783681
10134277641879329
113986a912259113
1213087aa66b4201
1359c04340c0000
1425231030bac5b
15107cd09e443a4
hex7a1ff3253f21

134277641879329 has 15 divisors (see below), whose sum is σ = 145469175145637. Its totient is φ = 123946784803608.

The previous prime is 134277641879323. The next prime is 134277641879377. The reversal of 134277641879329 is 923978146772431.

It is a happy number.

The square root of 134277641879329 is 11587823.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 66576999637729 + 67700642241600 = 8159473^2 + 8228040^2 .

It is not a de Polignac number, because 134277641879329 - 27 = 134277641879201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134277641879323) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1958307804 + ... + 1958376370.

Almost surely, 2134277641879329 is an apocalyptic number.

134277641879329 is the 11587823-rd square number.

134277641879329 is the 5793912-nd centered octagonal number.

It is an amenable number.

134277641879329 is a deficient number, since it is larger than the sum of its proper divisors (11191533266308).

134277641879329 is an frugal number, since it uses more digits than its factorization.

134277641879329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137186 (or 68580 counting only the distinct ones).

The product of its digits is 768144384, while the sum is 73.

The spelling of 134277641879329 in words is "one hundred thirty-four trillion, two hundred seventy-seven billion, six hundred forty-one million, eight hundred seventy-nine thousand, three hundred twenty-nine".

Divisors: 1 13 169 2197 28561 68567 891371 11587823 150641699 1958342087 4701433489 61118635357 794542259641 10329049375333 134277641879329