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144506325197 = 13219412574271
BaseRepresentation
bin1000011010010100111…
…1111000100011001101
3111210222220010220210102
42012211033320203031
54331422104401242
6150215120020445
713304000332433
oct2064517704315
9453886126712
10144506325197
1156315064a43
122400aa61725
131081c371800
146dcbd02d53
153b5b65de32
hex21a53f88cd

144506325197 has 48 divisors (see below), whose sum is σ = 169426494720. Its totient is φ = 122779238400.

The previous prime is 144506325167. The next prime is 144506325217. The reversal of 144506325197 is 791523605441.

It is a happy number.

144506325197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144506325197 - 26 = 144506325133 is a prime.

It is a super-2 number, since 2×1445063251972 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144506325107) 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 47 ways as a sum of consecutive naturals, for example, 33832172 + ... + 33836442.

It is an arithmetic number, because the mean of its divisors is an integer number (3529718640).

Almost surely, 2144506325197 is an apocalyptic number.

It is an amenable number.

144506325197 is a deficient number, since it is larger than the sum of its proper divisors (24920169523).

144506325197 is a wasteful number, since it uses less digits than its factorization.

144506325197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 144506325197 in words is "one hundred forty-four billion, five hundred six million, three hundred twenty-five thousand, one hundred ninety-seven".

Divisors: 1 13 19 41 169 247 257 533 779 3211 3341 4271 4883 6929 10127 10537 43433 55523 63479 81149 131651 136981 175111 200203 721799 825227 1054937 1097647 1780753 2276443 2602639 3327109 13714181 14269411 20855293 29593759 33834307 43252417 45003527 185502343 271118809 562281421 585045851 855067013 3524544517 7605596063 11115871169 144506325197