Search a number
-
+
144796872528 = 243271128913339
BaseRepresentation
bin1000011011011010010…
…0001110111101010000
3111211202010212020210200
42012312210032331100
54333020444410103
6150304015255200
713314126052260
oct2066644167520
9454663766720
10144796872528
1156454072500
122409021a500
131086760cbc9
1470187357a0
153b76e020a3
hex21b690ef50

144796872528 has 360 divisors, whose sum is σ = 514807675200. Its totient is φ = 37184209920.

The previous prime is 144796872527. The next prime is 144796872533. The reversal of 144796872528 is 825278697441.

It is a happy number.

144796872528 is a `hidden beast` number, since 1 + 4 + 47 + 9 + 68 + 7 + 2 + 528 = 666.

144796872528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1447968725282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144796872527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10848483 + ... + 10861821.

It is an arithmetic number, because the mean of its divisors is an integer number (1430021320).

Almost surely, 2144796872528 is an apocalyptic number.

144796872528 is a gapful number since it is divisible by the number (18) 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 144796872528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257403837600).

144796872528 is an abundant number, since it is smaller than the sum of its proper divisors (370010802672).

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

144796872528 is a wasteful number, since it uses less digits than its factorization.

144796872528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13471 (or 13451 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 144796872528 in words is "one hundred forty-four billion, seven hundred ninety-six million, eight hundred seventy-two thousand, five hundred twenty-eight".