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144400663878 = 23617316732363
BaseRepresentation
bin1000011001111011110…
…0110100010101000110
3111210201112022202201020
42012132330310111012
54331213032221003
6150200423212010
713301245251102
oct2063674642506
9453645282636
10144400663878
1156270457039
1223b9b5a7006
13108034c8213
146dbbc7a902
153b5223bd53
hex219ef34546

144400663878 has 64 divisors (see below), whose sum is σ = 299347840512. Its totient is φ = 46414874880.

The previous prime is 144400663877. The next prime is 144400663903. The reversal of 144400663878 is 878366004441.

144400663878 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1444006638783 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144400663878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144400663877) 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 31 ways as a sum of consecutive naturals, for example, 4445725 + ... + 4478087.

It is an arithmetic number, because the mean of its divisors is an integer number (4677310008).

Almost surely, 2144400663878 is an apocalyptic number.

144400663878 is an abundant number, since it is smaller than the sum of its proper divisors (154947176634).

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

144400663878 is a wasteful number, since it uses less digits than its factorization.

144400663878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32669.

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 144400663878 in words is "one hundred forty-four billion, four hundred million, six hundred sixty-three thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 61 73 122 146 167 183 219 334 366 438 501 1002 4453 8906 10187 12191 13359 20374 24382 26718 30561 32363 36573 61122 64726 73146 97089 194178 743651 1487302 1974143 2230953 2362499 3948286 4461906 4724998 5404621 5922429 7087497 10809242 11844858 14174994 16213863 32427726 144112439 288224878 329681881 394537333 432337317 659363762 789074666 864674634 989045643 1183611999 1978091286 2367223998 24066777313 48133554626 72200331939 144400663878