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144137744838 = 23321611235177
BaseRepresentation
bin1000011000111101000…
…1110111000111000110
3111210001012121002121000
42012033101313013012
54330143230313323
6150114352034130
713261603421223
oct2061721670706
9453035532530
10144137744838
1156145aaa07a
1223b27532946
1310790bb1419
146d94d9a94a
153b39104e43
hex218f4771c6

144137744838 has 32 divisors (see below), whose sum is σ = 320454580320. Its totient is φ = 48023642880.

The previous prime is 144137744837. The next prime is 144137744851. The reversal of 144137744838 is 838447731441.

It is a happy number.

144137744838 is a `hidden beast` number, since 144 + 13 + 7 + 7 + 4 + 483 + 8 = 666.

144137744838 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (144137744837) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 500895 + ... + 734282.

It is an arithmetic number, because the mean of its divisors is an integer number (10014205635).

Almost surely, 2144137744838 is an apocalyptic number.

144137744838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

144137744838 is an abundant number, since it is smaller than the sum of its proper divisors (176316835482).

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

144137744838 is a wasteful number, since it uses less digits than its factorization.

144137744838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237349 (or 1237343 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 144137744838 in words is "one hundred forty-four billion, one hundred thirty-seven million, seven hundred forty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 2161 4322 6483 12966 19449 38898 58347 116694 1235177 2470354 3705531 7411062 11116593 22233186 33349779 66699558 2669217497 5338434994 8007652491 16015304982 24022957473 48045914946 72068872419 144137744838