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6142332416 = 29111090613
BaseRepresentation
bin1011011100001110…
…01000111000000000
3120212001212211001012
411232013020320000
5100034414114131
62453255300052
7305132651453
oct55607107000
916761784035
106142332416
112672206290
12123507a628
1376b71192c
14423a9d49a
1525e3a052b
hex16e1c8e00

6142332416 has 40 divisors (see below), whose sum is σ = 13388377464. Its totient is φ = 2791966720.

The previous prime is 6142332409. The next prime is 6142332421.

6142332416 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 539675 + ... + 550938.

Almost surely, 26142332416 is an apocalyptic number.

It is an amenable number.

6142332416 is an abundant number, since it is smaller than the sum of its proper divisors (7246045048).

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

6142332416 is a wasteful number, since it uses less digits than its factorization.

6142332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090642 (or 1090626 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 6142332416 is about 78373.0337297211. The cubic root of 6142332416 is about 1831.3770693454.

It can be divided in two parts, 61423 and 32416, that added together give a palindrome (93839).

The spelling of 6142332416 in words is "six billion, one hundred forty-two million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 1090613 2181226 4362452 8724904 11996743 17449808 23993486 34899616 47986972 69799232 95973944 139598464 191947888 279196928 383895776 558393856 767791552 1535583104 3071166208 6142332416