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144031446 = 2371317149
BaseRepresentation
bin10001001010110…
…11111011010110
3101001000120000000
420211123323112
5243333001241
622143032130
73366150516
oct1045337326
9331016000
10144031446
1174335a59
124029b646
1323abc310
14151b3846
15c9a0eb6
hex895bed6

144031446 has 128 divisors (see below), whose sum is σ = 371952000. Its totient is φ = 41430528.

The previous prime is 144031439. The next prime is 144031469. The reversal of 144031446 is 644130441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966580 + ... + 966728.

It is an arithmetic number, because the mean of its divisors is an integer number (2905875).

Almost surely, 2144031446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144031446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976000).

144031446 is an abundant number, since it is smaller than the sum of its proper divisors (227920554).

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

144031446 is a wasteful number, since it uses less digits than its factorization.

144031446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144031446 is about 12001.3101784763. The cubic root of 144031446 is about 524.1864296916.

Adding to 144031446 its reverse (644130441), we get a palindrome (788161887).

The spelling of 144031446 in words is "one hundred forty-four million, thirty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 149 153 162 221 234 243 298 306 351 442 447 459 486 663 702 729 894 918 1053 1326 1341 1377 1458 1937 1989 2106 2187 2533 2682 2754 3159 3874 3978 4023 4131 4374 5066 5811 5967 6318 7599 8046 8262 9477 11622 11934 12069 12393 15198 17433 17901 18954 22797 24138 24786 28431 32929 34866 35802 36207 37179 45594 52299 53703 56862 65858 68391 72414 74358 98787 104598 107406 108621 136782 156897 161109 197574 205173 217242 296361 313794 322218 325863 410346 470691 483327 592722 615519 651726 889083 941382 966654 1231038 1412073 1778166 1846557 2667249 2824146 3693114 4236219 5334498 5539671 8001747 8472438 11079342 16003494 24005241 48010482 72015723 144031446