Search a number
-
+
37134814431 = 3111386561339
BaseRepresentation
bin100010100101011010…
…000100110011011111
310112211222201000210110
4202211122010303133
51102023003030211
625020503541103
72453143500051
oct424532046337
9115758630713
1037134814431
11148266a8790
12724445a793
13366a5b0ca0
141b23c598d1
15e751c2ea6
hex8a5684cdf

37134814431 has 16 divisors (see below), whose sum is σ = 58169220480. Its totient is φ = 20774721120.

The previous prime is 37134814403. The next prime is 37134814463. The reversal of 37134814431 is 13441843173.

37134814431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37134814431 - 214 = 37134798047 is a prime.

It is a super-2 number, since 2×371348144312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 37134814431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37134810431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43280241 + ... + 43281098.

It is an arithmetic number, because the mean of its divisors is an integer number (3635576280).

Almost surely, 237134814431 is an apocalyptic number.

37134814431 is a deficient number, since it is larger than the sum of its proper divisors (21034406049).

37134814431 is a wasteful number, since it uses less digits than its factorization.

37134814431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86561366.

The product of its digits is 96768, while the sum is 39.

The spelling of 37134814431 in words is "thirty-seven billion, one hundred thirty-four million, eight hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 86561339 259684017 952174729 1125297407 2856524187 3375892221 12378271477 37134814431