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144440634164454 = 2344190132412799
BaseRepresentation
bin100000110101111000110100…
…101100001100010011100110
3200221102101112010212001010000
4200311320310230030103212
5122413003404321230304
61231111040012242130
742265330364635035
oct4065706454142346
9627371463761100
10144440634164454
1142028a24476401
1214249690170346
1362799023c7c54
142794d6d2b871c
1511a7374392939
hex835e34b0c4e6

144440634164454 has 80 divisors (see below), whose sum is σ = 331584936883200. Its totient is φ = 46967332844160.

The previous prime is 144440634164341. The next prime is 144440634164549. The reversal of 144440634164454 is 454461436044441.

It is a happy number.

144440634164454 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 406 + 34 + 164 + 45 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 144440634164454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58657947 + ... + 61070745.

It is an arithmetic number, because the mean of its divisors is an integer number (4144811711040).

Almost surely, 2144440634164454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144440634164454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165792468441600).

144440634164454 is an abundant number, since it is smaller than the sum of its proper divisors (187144302718746).

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

144440634164454 is a wasteful number, since it uses less digits than its factorization.

144440634164454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421867 (or 2421858 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 144440634164454 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred thirty-four million, one hundred sixty-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 9013 18026 27039 54078 81117 162234 243351 369533 486702 730053 739066 1108599 1460106 2217198 2412799 3325797 4825598 6651594 7238397 9977391 14476794 19954782 21715191 29932173 43430382 59864346 65145573 98924759 130291146 195436719 197849518 296774277 390873438 593548554 890322831 1780645662 2670968493 5341936986 8012905479 16025810958 21746557387 43493114774 65239672161 130479344322 195719016483 391438032966 587157049449 891608852867 1174314098898 1761471148347 1783217705734 2674826558601 3522942296694 5349653117202 8024479675803 16048959351606 24073439027409 48146878054818 72220317082227 144440634164454