Search a number
-
+
145000307562 = 231183915111733
BaseRepresentation
bin1000011100001010110…
…0010001101101101010
3111212021022122211012120
42013002230101231222
54333430034320222
6150340123452110
713322146164315
oct2070254215552
9455238584176
10145000307562
1156548991230
1224128387036
131089a7ca876
14703776d97c
153b89bd915c
hex21c2b11b6a

145000307562 has 64 divisors (see below), whose sum is σ = 317133895680. Its totient is φ = 43832763200.

The previous prime is 145000307519. The next prime is 145000307567. The reversal of 145000307562 is 265703000541.

It is a super-3 number, since 3×1450003075623 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (145000307567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83669248 + ... + 83670980.

It is an arithmetic number, because the mean of its divisors is an integer number (4955217120).

Almost surely, 2145000307562 is an apocalyptic number.

145000307562 is an abundant number, since it is smaller than the sum of its proper divisors (172133588118).

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

145000307562 is a wasteful number, since it uses less digits than its factorization.

145000307562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099.

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 145000307562 in words is "one hundred forty-five billion, three hundred seven thousand, five hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 839 1511 1678 1733 2517 3022 3466 4533 5034 5199 9066 9229 10398 16621 18458 19063 27687 33242 38126 49863 55374 57189 99726 114378 1267729 1453987 2535458 2618563 2907974 3803187 4361961 5237126 7606374 7855689 8723922 13945019 15711378 15993857 27890038 28804193 31987714 41835057 47981571 57608386 83670114 86412579 95963142 172825158 2196974357 4393948714 6590923071 13181846142 24166717927 48333435854 72500153781 145000307562