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144294885 = 3357435367
BaseRepresentation
bin10001001100111…
…00001111100101
3101001111221101000
420212130033211
5243414414020
622152423513
73401325540
oct1046341745
9331457330
10144294885
11744a5979
12403a7b99
1323b821b7
1415241857
15ca04090
hex899c3e5

144294885 has 128 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 62270208.

The previous prime is 144294881. The next prime is 144294901. The reversal of 144294885 is 588492441.

144294885 is a `hidden beast` number, since 144 + 29 + 488 + 5 = 666.

144294885 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 144294885 - 22 = 144294881 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 144294885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144294881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2153622 + ... + 2153688.

It is an arithmetic number, because the mean of its divisors is an integer number (2423520).

Almost surely, 2144294885 is an apocalyptic number.

144294885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144294885 is an abundant number, since it is smaller than the sum of its proper divisors (165915675).

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

144294885 is a wasteful number, since it uses less digits than its factorization.

144294885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 144294885 is about 12012.2805911284. The cubic root of 144294885 is about 524.5058206923.

The spelling of 144294885 in words is "one hundred forty-four million, two hundred ninety-four thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 53 63 67 105 129 135 159 189 201 215 265 301 315 335 371 387 469 477 603 645 795 903 945 1005 1113 1161 1407 1431 1505 1809 1855 1935 2279 2345 2385 2709 2881 3015 3339 3551 4221 4515 5565 5805 6837 7035 7155 8127 8643 9045 10017 10653 11395 12663 13545 14405 15953 16695 17755 20167 20511 21105 24857 25929 31959 34185 40635 43215 47859 50085 53265 60501 61533 63315 74571 77787 79765 95877 100835 102555 124285 129645 143577 152693 159795 181503 223713 239295 302505 307665 372855 388935 430731 458079 479385 544509 671139 717885 763465 907515 1068851 1118565 1374237 2153655 2290395 2722545 3206553 3355695 4122711 5344255 6871185 9619659 16032765 20613555 28858977 48098295 144294885