Search a number
-
+
234102936141 = 3289292263341
BaseRepresentation
bin1101101000000110011…
…1110101001001001101
3211101021000222100011100
43122001213311021031
512313420322424031
6255313450213313
722625201060544
oct3320147651115
9741230870140
10234102936141
1190312005948
1239454724239
13190ca736a29
14b48b3d715b
1561523a7de6
hex36819f524d

234102936141 has 12 divisors (see below), whose sum is σ = 341948110140. Its totient is φ = 154315043520.

The previous prime is 234102936101. The next prime is 234102936169. The reversal of 234102936141 is 141639201432.

234102936141 is a `hidden beast` number, since 2 + 3 + 4 + 10 + 29 + 3 + 614 + 1 = 666.

234102936141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55047013641 + 179055922500 = 234621^2 + 423150^2 .

It is not a de Polignac number, because 234102936141 - 26 = 234102936077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234102936096 and 234102936105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234102936101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146130870 + ... + 146132471.

It is an arithmetic number, because the mean of its divisors is an integer number (28495675845).

Almost surely, 2234102936141 is an apocalyptic number.

It is an amenable number.

234102936141 is a deficient number, since it is larger than the sum of its proper divisors (107845173999).

234102936141 is a wasteful number, since it uses less digits than its factorization.

234102936141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292263436 (or 292263433 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 234102936141 in words is "two hundred thirty-four billion, one hundred two million, nine hundred thirty-six thousand, one hundred forty-one".

Divisors: 1 3 9 89 267 801 292263341 876790023 2630370069 26011437349 78034312047 234102936141