Search a number
-
+
144732153220 = 2257859392077
BaseRepresentation
bin1000011011001010110…
…1010110010110000100
3111211120122002011121021
42012302231112112010
54332402412400340
6150253344200524
713312412001244
oct2066255262604
9454518064537
10144732153220
1156420588976
1224072609144
131085709cb65
14700dcc9b24
153b713bae4a
hex21b2b56584

144732153220 has 24 divisors (see below), whose sum is σ = 303944689944. Its totient is φ = 57891495936.

The previous prime is 144732153143. The next prime is 144732153281. The reversal of 144732153220 is 22351237441.

It can be written as a sum of positive squares in 4 ways, for example, as 22871117824 + 121861035396 = 151232^2 + 349086^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1525822 + ... + 1617898.

It is an arithmetic number, because the mean of its divisors is an integer number (12664362081).

Almost surely, 2144732153220 is an apocalyptic number.

144732153220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144732153220 is an abundant number, since it is smaller than the sum of its proper divisors (159212536724).

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

144732153220 is a wasteful number, since it uses less digits than its factorization.

144732153220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170679 (or 170677 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 144732153220 in words is "one hundred forty-four billion, seven hundred thirty-two million, one hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 78593 92077 157186 184154 314372 368308 392965 460385 785930 920770 1571860 1841540 7236607661 14473215322 28946430644 36183038305 72366076610 144732153220