Search a number
-
+
5314895145 = 3257227239311
BaseRepresentation
bin1001111001100101…
…01101110100101001
3111201101220122111100
410330302231310221
541341103121040
62235220352013
7245464602060
oct47462556451
914641818440
105314895145
11228813542a
121043b45609
13669173391
14385c311d7
15211908b30
hex13ccadd29

5314895145 has 96 divisors (see below), whose sum is σ = 10653327360. Its totient is φ = 2401096320.

The previous prime is 5314895141. The next prime is 5314895207. The reversal of 5314895145 is 5415984135.

It is a happy number.

5314895145 is a `hidden beast` number, since 53 + 1 + 4 + 89 + 514 + 5 = 666.

It is not a de Polignac number, because 5314895145 - 22 = 5314895141 is a prime.

It is a super-2 number, since 2×53148951452 = 56496220804689142050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5314895145.

It is not an unprimeable number, because it can be changed into a prime (5314895141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17089540 + ... + 17089850.

It is an arithmetic number, because the mean of its divisors is an integer number (110972160).

Almost surely, 25314895145 is an apocalyptic number.

It is an amenable number.

5314895145 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

5314895145 is a wasteful number, since it uses less digits than its factorization.

5314895145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 792 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 5314895145 is about 72903.3273931993. The cubic root of 5314895145 is about 1745.1451996429.

The spelling of 5314895145 in words is "five billion, three hundred fourteen million, eight hundred ninety-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 227 239 311 315 681 717 933 1135 1195 1555 1589 1673 2043 2151 2177 2799 3405 3585 4665 4767 5019 6531 7945 8365 10215 10755 10885 13995 14301 15057 19593 23835 25095 32655 54253 70597 71505 74329 75285 97965 162759 211791 222987 271265 352985 371645 379771 488277 494179 520303 635373 668961 813795 1058955 1114935 1139313 1482537 1560909 1898855 2441385 2470895 2601515 3176865 3344805 3417939 4447611 4682727 5696565 7412685 7804545 16872683 17089695 22238055 23413635 50618049 84363415 118108781 151854147 253090245 354326343 590543905 759270735 1062979029 1771631715 5314895145