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5140442016 = 253253336769
BaseRepresentation
bin1001100100110010…
…01110101110100000
3111021020122111210100
410302121032232200
541011423121031
62210025302400
7241246015263
oct46231165640
914236574710
105140442016
1121a8711196
12bb5634a00
1363bc92188
1436a9bccda
15201448de6
hex13264eba0

5140442016 has 72 divisors (see below), whose sum is σ = 14893990020. Its totient is φ = 1681145856.

The previous prime is 5140441939. The next prime is 5140442057. The reversal of 5140442016 is 6102440415.

5140442016 is a `hidden beast` number, since 51 + 404 + 4 + 201 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5068870416 + 71571600 = 71196^2 + 8460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 153121 + ... + 183648.

Almost surely, 25140442016 is an apocalyptic number.

It is an amenable number.

5140442016 is an abundant number, since it is smaller than the sum of its proper divisors (9753548004).

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

5140442016 is a wasteful number, since it uses less digits than its factorization.

5140442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336838 (or 336827 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5140442016 is about 71696.8759152029. The cubic root of 5140442016 is about 1725.8385075286.

The spelling of 5140442016 in words is "five billion, one hundred forty million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 336769 673538 1010307 1347076 2020614 2694152 3030921 4041228 5388304 6061842 8082456 10776608 12123684 16164912 17848757 24247368 32329824 35697514 48494736 53546271 71395028 96989472 107092542 142790056 160638813 214185084 285580112 321277626 428370168 571160224 642555252 856740336 1285110504 1713480672 2570221008 5140442016