Search a number
-
+
145627430100 = 22352485424767
BaseRepresentation
bin1000011110100000010…
…0100011110011010100
3111220220000200221121020
42013220010203303110
54341221110230400
6150522245121140
713343532506025
oct2075004436324
9456800627536
10145627430100
115683a984719
12242823b91b0
131096a7017a9
147096b76c4c
153bc4cb32a0
hex21e8123cd4

145627430100 has 36 divisors (see below), whose sum is σ = 421348698624. Its totient is φ = 38833981280.

The previous prime is 145627430041. The next prime is 145627430149. The reversal of 145627430100 is 1034726541.

It is a congruent number.

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, 242712084 + ... + 242712683.

Almost surely, 2145627430100 is an apocalyptic number.

145627430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145627430100 is an abundant number, since it is smaller than the sum of its proper divisors (275721268524).

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

145627430100 is a wasteful number, since it uses less digits than its factorization.

145627430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485424784 (or 485424777 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 145627430100 in words is "one hundred forty-five billion, six hundred twenty-seven million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 485424767 970849534 1456274301 1941699068 2427123835 2912548602 4854247670 5825097204 7281371505 9708495340 12135619175 14562743010 24271238350 29125486020 36406857525 48542476700 72813715050 145627430100