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136401471 = 32291513461
BaseRepresentation
bin10000010000101…
…01001000111111
3100111122220122100
420020111020333
5234404321341
621311320143
73244251633
oct1010251077
9314586570
10136401471
116aaa4498
1239820053
132234a43b
1414188dc3
15be953b6
hex821523f

136401471 has 24 divisors (see below), whose sum is σ = 205227360. Its totient is φ = 87192000.

The previous prime is 136401467. The next prime is 136401491. The reversal of 136401471 is 174104631.

It is a happy number.

136401471 is a `hidden beast` number, since 1 + 3 + 640 + 14 + 7 + 1 = 666.

It is not a de Polignac number, because 136401471 - 22 = 136401467 is a prime.

It is a super-3 number, since 3×1364014713 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136401491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37681 + ... + 41141.

It is an arithmetic number, because the mean of its divisors is an integer number (8551140).

Almost surely, 2136401471 is an apocalyptic number.

136401471 is a deficient number, since it is larger than the sum of its proper divisors (68825889).

136401471 is a wasteful number, since it uses less digits than its factorization.

136401471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 136401471 is about 11679.1040324162. The cubic root of 136401471 is about 514.7618479740.

The spelling of 136401471 in words is "one hundred thirty-six million, four hundred one thousand, four hundred seventy-one".

Divisors: 1 3 9 29 87 151 261 453 1359 3461 4379 10383 13137 31149 39411 100369 301107 522611 903321 1567833 4703499 15155719 45467157 136401471