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144609885 = 32573159251
BaseRepresentation
bin10001001111010…
…01001001011101
3101002002221110200
420213221021131
5244010004020
622203254113
73404110110
oct1047511135
9332087420
10144609885
11746a0602
124051a339
1323c626a4
14152c4577
15ca67590
hex89e925d

144609885 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 62640000.

The previous prime is 144609877. The next prime is 144609923. The reversal of 144609885 is 588906441.

144609885 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 144609885 - 23 = 144609877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144609885.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 576010 + ... + 576260.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2144609885 is an apocalyptic number.

144609885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144609885 is an abundant number, since it is smaller than the sum of its proper divisors (157306275).

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

144609885 is a wasteful number, since it uses less digits than its factorization.

144609885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 144609885 is about 12025.3850250210. The cubic root of 144609885 is about 524.8872138670.

The spelling of 144609885 in words is "one hundred forty-four million, six hundred nine thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 59 63 93 105 155 177 217 251 279 295 315 413 465 531 651 753 885 1085 1239 1255 1395 1757 1829 1953 2065 2259 2655 3255 3717 3765 5271 5487 6195 7781 8785 9145 9765 11295 12803 14809 15813 16461 18585 23343 26355 27435 38409 38905 44427 54467 64015 70029 74045 79065 82305 103663 115227 116715 133281 163401 192045 222135 272335 310989 350145 459079 490203 518315 576135 666405 817005 932967 1377237 1554945 2295395 2451015 3213553 4131711 4664835 6886185 9640659 16067765 20658555 28921977 48203295 144609885