Search a number
-
+
145216231160 = 2357111322271229
BaseRepresentation
bin1000011100111110001…
…1111101011011111000
3111212211100221212200212
42013033203331123320
54334400323344120
6150413355450252
713330410412220
oct2071743753370
9455740855625
10145216231160
115664985a890
1224188756988
131090346ba00
1470582d9080
153b9db3b6c5
hex21cf8fd6f8

145216231160 has 384 divisors, whose sum is σ = 443409292800. Its totient is φ = 41562593280.

The previous prime is 145216231123. The next prime is 145216231189. The reversal of 145216231160 is 61132612541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118157426 + ... + 118158654.

It is an arithmetic number, because the mean of its divisors is an integer number (1154711700).

Almost surely, 2145216231160 is an apocalyptic number.

145216231160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145216231160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221704646400).

145216231160 is an abundant number, since it is smaller than the sum of its proper divisors (298193061640).

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

145216231160 is a wasteful number, since it uses less digits than its factorization.

145216231160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 145216231160 in words is "one hundred forty-five billion, two hundred sixteen million, two hundred thirty-one thousand, one hundred sixty".