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144046980 = 2232571119547
BaseRepresentation
bin10001001010111…
…11101110000100
3101001001100022100
420211133232010
5243334000410
622143232100
73366244020
oct1045375604
9331040270
10144046980
11743466a0
12402a8630
1323ac63cc
14151b9380
15c9a58c0
hex895fb84

144046980 has 288 divisors, whose sum is σ = 574479360. Its totient is φ = 28304640.

The previous prime is 144046979. The next prime is 144046997. The reversal of 144046980 is 89640441.

It is a happy number.

144046980 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263067 + ... + 263613.

It is an arithmetic number, because the mean of its divisors is an integer number (1994720).

Almost surely, 2144046980 is an apocalyptic number.

144046980 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 144046980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287239680).

144046980 is an abundant number, since it is smaller than the sum of its proper divisors (430432380).

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

144046980 is a wasteful number, since it uses less digits than its factorization.

144046980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144046980 is about 12001.9573403674. The cubic root of 144046980 is about 524.2052737694.

The spelling of 144046980 in words is "one hundred forty-four million, forty-six thousand, nine hundred eighty".