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144970017024 = 2837219202753
BaseRepresentation
bin1000011100000011100…
…0101110100100000000
3111212012012122220101210
42013000320232210000
54333344311021044
6150333122330120
713321330545600
oct2070070564400
9455165586353
10144970017024
1156532882528
122411a1b9940
1310894453581
147033726c00
153b872041b9
hex21c0e2e900

144970017024 has 216 divisors, whose sum is σ = 472449260640. Its totient is φ = 39239811072.

The previous prime is 144970017011. The next prime is 144970017079. The reversal of 144970017024 is 420710079441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613632 + ... + 816384.

Almost surely, 2144970017024 is an apocalyptic number.

144970017024 is a gapful number since it is divisible by the number (14) 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 144970017024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236224630320).

144970017024 is an abundant number, since it is smaller than the sum of its proper divisors (327479243616).

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

144970017024 is a wasteful number, since it uses less digits than its factorization.

144970017024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202805 (or 202784 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 144970017024 in words is "one hundred forty-four billion, nine hundred seventy million, seventeen thousand, twenty-four".