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34052144042 = 277930788557
BaseRepresentation
bin11111101101101010…
…100111101110101010
310020220011010011000002
4133231222213232222
51024214322102132
623350543343002
72313562306610
oct375552475652
9106804104002
1034052144042
1113494602904
126723bb1a62
133298a42a77
1419106936b0
15d4474e262
hex7edaa7baa

34052144042 has 16 divisors (see below), whose sum is σ = 59114031360. Its totient is φ = 14409044208.

The previous prime is 34052144039. The next prime is 34052144047. The reversal of 34052144042 is 24044125043.

It is a super-3 number, since 3×340521440423 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34052143996 and 34052144014.

It is not an unprimeable number, because it can be changed into a prime (34052144047) 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 7 ways as a sum of consecutive naturals, for example, 15393173 + ... + 15395384.

It is an arithmetic number, because the mean of its divisors is an integer number (3694626960).

Almost surely, 234052144042 is an apocalyptic number.

34052144042 is a deficient number, since it is larger than the sum of its proper divisors (25061887318).

34052144042 is a wasteful number, since it uses less digits than its factorization.

34052144042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30788645.

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 34052144042 its reverse (24044125043), we get a palindrome (58096269085).

The spelling of 34052144042 in words is "thirty-four billion, fifty-two million, one hundred forty-four thousand, forty-two".

Divisors: 1 2 7 14 79 158 553 1106 30788557 61577114 215519899 431039798 2432296003 4864592006 17026072021 34052144042