Search a number
-
+
134314262413431 = 33716327972654111
BaseRepresentation
bin11110100010100001111001…
…111001100100000001110111
3122121120022120212212200120120
4132202201321321210001313
5120101101102134212211
61153355041554103023
740201612430151432
oct3642417171440167
9577508525780516
10134314262413431
11398843a4626431
121309300687aa73
1359c3a1bc88cb9
142524bb8904819
15107dc4edccd06
hex7a2879e64077

134314262413431 has 32 divisors (see below), whose sum is σ = 185120447612928. Its totient is φ = 86557279155840.

The previous prime is 134314262413391. The next prime is 134314262413433.

134314262413431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134314262413431 - 214 = 134314262397047 is a prime.

It is a super-2 number, since 2×1343142624134312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134314262413433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49279066 + ... + 51933176.

It is an arithmetic number, because the mean of its divisors is an integer number (5785013987904).

Almost surely, 2134314262413431 is an apocalyptic number.

134314262413431 is a deficient number, since it is larger than the sum of its proper divisors (50806185199497).

134314262413431 is a wasteful number, since it uses less digits than its factorization.

134314262413431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657111.

The product of its digits is 497664, while the sum is 42.

The spelling of 134314262413431 in words is "one hundred thirty-four trillion, three hundred fourteen billion, two hundred sixty-two million, four hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 37 111 163 489 2797 6031 8391 18093 103489 310467 455911 1367733 2654111 7962333 16868707 50606121 98202107 294606321 432620093 1297860279 7423548467 16006943441 22270645401 48020830323 274671293279 824013879837 1210038400121 3630115200363 44771420804477 134314262413431