Search a number
-
+
144685901376 = 26385872
BaseRepresentation
bin1000011010111111110…
…0111010011001000000
3111211110102001100000000
42012233330322121000
54332304042321001
6150245013000000
713311310604232
oct2065774723100
9454412040000
10144685901376
11563a7468205
122405b023000
131084a6277c3
147007aca252
153b6c2d1a86
hex21aff3a640

144685901376 has 189 divisors, whose sum is σ = 431379634699. Its totient is φ = 48146472576.

The previous prime is 144685901363. The next prime is 144685901383. The reversal of 144685901376 is 673109586441.

The square root of 144685901376 is 380376.

It is a perfect power (a square), and thus also a powerful number.

144685901376 is a `hidden beast` number, since 1 + 4 + 46 + 8 + 590 + 1 + 3 + 7 + 6 = 666.

144685901376 is digitally balanced in base 2, 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 (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 246483355 + ... + 246483941.

Almost surely, 2144685901376 is an apocalyptic number.

144685901376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144685901376 is the 380376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144685901376

144685901376 is an abundant number, since it is smaller than the sum of its proper divisors (286693733323).

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

144685901376 is an frugal number, since it uses more digits than its factorization.

144685901376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 144685901376 in words is "one hundred forty-four billion, six hundred eighty-five million, nine hundred one thousand, three hundred seventy-six".