Search a number
-
+
34052142024 = 23321702927773
BaseRepresentation
bin11111101101101010…
…100111001111001000
310020220011010001020100
4133231222213033020
51024214322021044
623350543325400
72313562300665
oct375552471710
9106804101210
1034052142024
111349460133a
126723bb0860
133298a41b84
141910692a6c
15d4474d869
hex7edaa73c8

34052142024 has 48 divisors (see below), whose sum is σ = 92233287900. Its totient is φ = 11349638784.

The previous prime is 34052142013. The next prime is 34052142049. The reversal of 34052142024 is 42024125043.

34052142024 is a `hidden beast` number, since 3 + 405 + 214 + 20 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32285621124 + 1766520900 = 179682^2 + 42030^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212202 + ... + 1239974.

Almost surely, 234052142024 is an apocalyptic number.

It is an amenable number.

34052142024 is an abundant number, since it is smaller than the sum of its proper divisors (58181145876).

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

34052142024 is a wasteful number, since it uses less digits than its factorization.

34052142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44814 (or 44807 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34052142024 its reverse (42024125043), we get a palindrome (76076267067).

The spelling of 34052142024 in words is "thirty-four billion, fifty-two million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17029 27773 34058 51087 55546 68116 83319 102174 111092 136232 153261 166638 204348 222184 249957 306522 333276 408696 499914 613044 666552 999828 1226088 1999656 472946417 945892834 1418839251 1891785668 2837678502 3783571336 4256517753 5675357004 8513035506 11350714008 17026071012 34052142024