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144121101444 = 22338271613609
BaseRepresentation
bin1000011000111001001…
…0010111110010000100
3111210000001021112011000
42012032102113302010
54330130000221234
6150112555213300
713261312102215
oct2061622276204
9453001245130
10144121101444
1156137671701
1223b21a47230
131078a604a68
146d92aa740c
153b37918899
hex218e497c84

144121101444 has 48 divisors (see below), whose sum is σ = 374099342400. Its totient is φ = 47982247488.

The previous prime is 144121101431. The next prime is 144121101493. The reversal of 144121101444 is 444101121441.

144121101444 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 211 + 0 + 1 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717489 + ... + 896120.

It is an arithmetic number, because the mean of its divisors is an integer number (7793736300).

Almost surely, 2144121101444 is an apocalyptic number.

It is an amenable number.

144121101444 is an abundant number, since it is smaller than the sum of its proper divisors (229978240956).

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

144121101444 is a wasteful number, since it uses less digits than its factorization.

144121101444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614449 (or 1614441 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 144121101444 its reverse (444101121441), we get a palindrome (588222222885).

The spelling of 144121101444 in words is "one hundred forty-four billion, one hundred twenty-one million, one hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 827 1654 2481 3308 4962 7443 9924 14886 22329 29772 44658 89316 1613609 3227218 4840827 6454436 9681654 14522481 19363308 29044962 43567443 58089924 87134886 174269772 1334454643 2668909286 4003363929 5337818572 8006727858 12010091787 16013455716 24020183574 36030275361 48040367148 72060550722 144121101444