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145630161720 = 23325404528227
BaseRepresentation
bin1000011110100000111…
…0111110101100111000
3111220220012211201200100
42013220032332230320
54341222310133340
6150522423435400
713343564643651
oct2075016765470
9456805751610
10145630161720
115684147aa5a
12242832b5b60
131096b149c34
147097288528
153bc5152830
hex21e83beb38

145630161720 has 48 divisors (see below), whose sum is σ = 473298026760. Its totient is φ = 38834709696.

The previous prime is 145630161679. The next prime is 145630161727. The reversal of 145630161720 is 27161036541.

145630161720 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 30 + 1 + 617 + 2 + 0 = 666.

145630161720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145630161727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202263754 + ... + 202264473.

Almost surely, 2145630161720 is an apocalyptic number.

145630161720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145630161720 is an abundant number, since it is smaller than the sum of its proper divisors (327667865040).

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

145630161720 is a wasteful number, since it uses less digits than its factorization.

145630161720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404528244 (or 404528237 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 145630161720 in words is "one hundred forty-five billion, six hundred thirty million, one hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 404528227 809056454 1213584681 1618112908 2022641135 2427169362 3236225816 3640754043 4045282270 4854338724 6067923405 7281508086 8090564540 9708677448 12135846810 14563016172 16181129080 18203770215 24271693620 29126032344 36407540430 48543387240 72815080860 145630161720