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144408957 = 3711472283
BaseRepresentation
bin10001001101110…
…00000101111101
3101001201201211220
420212320011331
5243432041312
622155103553
73402312240
oct1046700575
9331651756
10144408957
1174573650
1240441bb9
1323bc20b4
1415271257
15ca27c8c
hex89b817d

144408957 has 48 divisors (see below), whose sum is σ = 246139392. Its totient is φ = 73162080.

The previous prime is 144408947. The next prime is 144408983. The reversal of 144408957 is 759804441.

144408957 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 144408957 - 210 = 144407933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144408917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510138 + ... + 510420.

It is an arithmetic number, because the mean of its divisors is an integer number (5127904).

Almost surely, 2144408957 is an apocalyptic number.

It is an amenable number.

144408957 is a deficient number, since it is larger than the sum of its proper divisors (101730435).

144408957 is a wasteful number, since it uses less digits than its factorization.

144408957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 144408957 is about 12017.0277939264. The cubic root of 144408957 is about 524.6439999224.

The spelling of 144408957 in words is "one hundred forty-four million, four hundred eight thousand, nine hundred fifty-seven".

Divisors: 1 3 7 11 21 33 47 77 141 231 283 329 517 849 987 1551 1981 2209 3113 3619 5943 6627 9339 10857 13301 15463 21791 24299 39903 46389 65373 72897 93107 146311 170093 279321 438933 510279 625147 1024177 1875441 3072531 4376029 6876617 13128087 20629851 48136319 144408957