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5134151440 = 2451146312601
BaseRepresentation
bin1001100100000010…
…01110111100010000
3111020210210220202001
410302001032330100
541003320321230
62205242403344
7241141365355
oct46201167420
914223726661
105134151440
1121a5104a70
12bb3500554
1363a89bb42
14369c2262c
15200b050ca
hex13204ef10

5134151440 has 80 divisors (see below), whose sum is σ = 13051236096. Its totient is φ = 1862784000.

The previous prime is 5134151431. The next prime is 5134151447. The reversal of 5134151440 is 441514315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×51341514402 = 52719022017708147200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5134151399 and 5134151408.

It is not an unprimeable number, because it can be changed into a prime (5134151447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 401140 + ... + 413740.

Almost surely, 25134151440 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 5134151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525618048).

5134151440 is an abundant number, since it is smaller than the sum of its proper divisors (7917084656).

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

5134151440 is a wasteful number, since it uses less digits than its factorization.

5134151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13088 (or 13082 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 5134151440 is about 71652.9932382451. The cubic root of 5134151440 is about 1725.1342263402.

Adding to 5134151440 its reverse (441514315), we get a palindrome (5575665755).

The spelling of 5134151440 in words is "five billion, one hundred thirty-four million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 463 880 926 1852 2315 3704 4630 5093 7408 9260 10186 12601 18520 20372 25202 25465 37040 40744 50404 50930 63005 81488 100808 101860 126010 138611 201616 203720 252020 277222 407440 504040 554444 693055 1008080 1108888 1386110 2217776 2772220 5544440 5834263 11088880 11668526 23337052 29171315 46674104 58342630 64176893 93348208 116685260 128353786 233370520 256707572 320884465 466741040 513415144 641768930 1026830288 1283537860 2567075720 5134151440