Search a number
-
+
34124455431 = 3211418407109
BaseRepresentation
bin11111110001111110…
…011101111000000111
310021002012011221120200
4133301332131320013
51024341330033211
623402045301543
72315431041153
oct376176357007
9107065157520
1034124455431
1113521402490
1267442648b3
1332aaa10681
14191a118063
15d4ac84b56
hex7f1f9de07

34124455431 has 24 divisors (see below), whose sum is σ = 55083384720. Its totient is φ = 20177059200.

The previous prime is 34124455429. The next prime is 34124455451. The reversal of 34124455431 is 13455442143.

34124455431 is a `hidden beast` number, since 34 + 1 + 2 + 44 + 554 + 31 = 666.

It is not a de Polignac number, because 34124455431 - 21 = 34124455429 is a prime.

It is a super-2 number, since 2×341244554312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124455451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4199496 + ... + 4207613.

It is an arithmetic number, because the mean of its divisors is an integer number (2295141030).

Almost surely, 234124455431 is an apocalyptic number.

34124455431 is a deficient number, since it is larger than the sum of its proper divisors (20958929289).

34124455431 is a wasteful number, since it uses less digits than its factorization.

34124455431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407167 (or 8407164 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 34124455431 its reverse (13455442143), we get a palindrome (47579897574).

It can be divided in two parts, 34124 and 455431, that added together give a triangular number (489555 = T989).

The spelling of 34124455431 in words is "thirty-four billion, one hundred twenty-four million, four hundred fifty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 8407109 25221327 75663981 92478199 277434597 344691469 832303791 1034074407 3102223221 3791606159 11374818477 34124455431