Search a number
-
+
34144042420 = 2251918938231
BaseRepresentation
bin11111110011001001…
…001011110110110100
310021010120001001212201
4133303021023312310
51024411333324140
623404025154244
72316056400115
oct376311136664
9107116031781
1034144042420
1113531470484
12674a92b984
1332b1aaaac7
14191c97620c
15d4c85349a
hex7f324bdb4

34144042420 has 24 divisors (see below), whose sum is σ = 72077902848. Its totient is φ = 13586109600.

The previous prime is 34144042399. The next prime is 34144042433. The reversal of 34144042420 is 2424044143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4465296 + ... + 4472935.

It is an arithmetic number, because the mean of its divisors is an integer number (3003245952).

Almost surely, 234144042420 is an apocalyptic number.

It is an amenable number.

34144042420 is an abundant number, since it is smaller than the sum of its proper divisors (37933860428).

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

34144042420 is a wasteful number, since it uses less digits than its factorization.

34144042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938431 (or 8938429 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34144042420 its reverse (2424044143), we get a palindrome (36568086563).

The spelling of 34144042420 in words is "thirty-four billion, one hundred forty-four million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 191 382 764 955 1910 3820 8938231 17876462 35752924 44691155 89382310 178764620 1707202121 3414404242 6828808484 8536010605 17072021210 34144042420