Search a number
-
+
13741408134 = 234187745191
BaseRepresentation
bin11001100110000110…
…10011111110000110
31022110122212212020000
430303003103332012
5211120300030014
610151314022130
7664345020246
oct146303237606
938418785200
1013741408134
115911737353
1227b5b77946
1313acb7b83c
14945001b26
155565a3509
hex3330d3f86

13741408134 has 40 divisors (see below), whose sum is σ = 30808019088. Its totient is φ = 4577927760.

The previous prime is 13741408129. The next prime is 13741408139. The reversal of 13741408134 is 43180414731.

13741408134 is a `hidden beast` number, since 137 + 414 + 0 + 81 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (13741408129) and next prime (13741408139).

It is a super-2 number, since 2×137414081342 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13741408139) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 281479 + ... + 326669.

Almost surely, 213741408134 is an apocalyptic number.

13741408134 is an abundant number, since it is smaller than the sum of its proper divisors (17066610954).

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

13741408134 is a wasteful number, since it uses less digits than its factorization.

13741408134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47082 (or 47073 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 13741 and 408134, that added together give a cube (421875 = 753).

The spelling of 13741408134 in words is "thirteen billion, seven hundred forty-one million, four hundred eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 1877 3754 5631 11262 16893 33786 45191 50679 90382 101358 135573 152037 271146 304074 406719 813438 1220157 2440314 3660471 7320942 84823507 169647014 254470521 508941042 763411563 1526823126 2290234689 4580469378 6870704067 13741408134