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5142034304 = 27114877499
BaseRepresentation
bin1001100100111110…
…10011011110000000
3111021100122101222222
410302133103132000
541012330044204
62210123350212
7241265366441
oct46237233600
914240571888
105142034304
1121a95a9530
12bb6082368
1363c3cbb64
1436acb52c8
15201660abe
hex1327d3780

5142034304 has 64 divisors (see below), whose sum is σ = 11199600000. Its totient is φ = 2332177920.

The previous prime is 5142034301. The next prime is 5142034333. The reversal of 5142034304 is 4034302415.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142034301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681947 + ... + 689445.

It is an arithmetic number, because the mean of its divisors is an integer number (174993750).

Almost surely, 25142034304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599800000).

5142034304 is an abundant number, since it is smaller than the sum of its proper divisors (6057565696).

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

5142034304 is a wasteful number, since it uses less digits than its factorization.

5142034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 7999 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 5142034304 is about 71707.9793607378. The cubic root of 5142034304 is about 1726.0166859969.

Adding to 5142034304 its reverse (4034302415), we get a palindrome (9176336719).

The spelling of 5142034304 in words is "five billion, one hundred forty-two million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 487 704 974 1408 1948 3896 5357 7499 7792 10714 14998 15584 21428 29996 31168 42856 59992 62336 82489 85712 119984 164978 171424 239968 329956 342848 479936 659912 685696 959872 1319824 2639648 3652013 5279296 7304026 10558592 14608052 29216104 40172143 58432208 80344286 116864416 160688572 233728832 321377144 467457664 642754288 1285508576 2571017152 5142034304