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144661466880 = 2832574341719
BaseRepresentation
bin1000011010111001111…
…1101100111100000000
3111211101201001221011200
42012232133230330000
54332231313420010
6150242341141200
713310563115520
oct2065637547400
9454351057150
10144661466880
1156394699207
12240529ba800
1310845550b18
147004769680
153b6a0a6cc0
hex21ae7ecf00

144661466880 has 432 divisors, whose sum is σ = 585332267520. Its totient is φ = 32295739392.

The previous prime is 144661466843. The next prime is 144661466909. The reversal of 144661466880 is 88664166441.

144661466880 is a `hidden beast` number, since 1 + 4 + 46 + 61 + 466 + 8 + 80 = 666.

144661466880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 3446661 + ... + 3488379.

Almost surely, 2144661466880 is an apocalyptic number.

144661466880 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 144661466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292666133760).

144661466880 is an abundant number, since it is smaller than the sum of its proper divisors (440670800640).

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

144661466880 is a wasteful number, since it uses less digits than its factorization.

144661466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41796 (or 41779 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 144661466880 in words is "one hundred forty-four billion, six hundred sixty-one million, four hundred sixty-six thousand, eight hundred eighty".