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5142412032 = 28310196571
BaseRepresentation
bin1001100101000001…
…01111101100000000
3111021101100121010220
410302200233230000
541012424141112
62210135423040
7241301531622
oct46240575400
914241317126
105142412032
1121a98372aa
12bb6224a80
1363c501a74
1436ad72c12
152016d798c
hex13282fb00

5142412032 has 72 divisors (see below), whose sum is σ = 13701831360. Its totient is φ = 1712194560.

The previous prime is 5142412021. The next prime is 5142412043. The reversal of 5142412032 is 2302142415.

It is an interprime number because it is at equal distance from previous prime (5142412021) and next prime (5142412043).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5142411993 and 5142412011.

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 7 ways as a sum of consecutive naturals, for example, 779307 + ... + 785877.

Almost surely, 25142412032 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 5142412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850915680).

5142412032 is an abundant number, since it is smaller than the sum of its proper divisors (8559419328).

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

5142412032 is a wasteful number, since it uses less digits than its factorization.

5142412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5142412032 is about 71710.6131057321. The cubic root of 5142412032 is about 1726.0589487038.

Adding to 5142412032 its reverse (2302142415), we get a palindrome (7444554447).

The spelling of 5142412032 in words is "five billion, one hundred forty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1019 2038 3057 4076 6114 6571 8152 12228 13142 16304 19713 24456 26284 32608 39426 48912 52568 65216 78852 97824 105136 130432 157704 195648 210272 260864 315408 391296 420544 630816 782592 841088 1261632 1682176 2523264 5046528 6695849 13391698 20087547 26783396 40175094 53566792 80350188 107133584 160700376 214267168 321400752 428534336 642801504 857068672 1285603008 1714137344 2571206016 5142412032