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144535014 = 232131922959
BaseRepresentation
bin10001001110101…
…10110111100110
3101001222010202200
420213112313212
5244000110024
622201515330
73403345611
oct1047266746
9331863680
10144535014
117464a328
12404a2b46
1323c375a0
14152a5178
15ca502c9
hex89d6de6

144535014 has 144 divisors (see below), whose sum is σ = 374446800. Its totient is φ = 39989376.

The previous prime is 144535009. The next prime is 144535019. The reversal of 144535014 is 410535441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144535009) and next prime (144535019).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144535019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2449717 + ... + 2449775.

It is an arithmetic number, because the mean of its divisors is an integer number (2600325).

Almost surely, 2144535014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144535014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187223400).

144535014 is an abundant number, since it is smaller than the sum of its proper divisors (229911786).

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

144535014 is a wasteful number, since it uses less digits than its factorization.

144535014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 144535014 is about 12022.2715823591. The cubic root of 144535014 is about 524.7966123733.

The spelling of 144535014 in words is "one hundred forty-four million, five hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 29 38 39 57 58 59 78 87 114 117 118 171 174 177 234 247 261 342 354 361 377 494 522 531 551 722 741 754 767 1062 1083 1102 1121 1131 1482 1534 1653 1711 2166 2223 2242 2262 2301 3249 3306 3363 3393 3422 4446 4602 4693 4959 5133 6498 6726 6786 6903 7163 9386 9918 10089 10266 10469 13806 14079 14326 14573 15399 20178 20938 21299 21489 22243 28158 29146 30798 31407 32509 42237 42598 42978 43719 44486 62814 63897 64467 65018 66729 84474 87438 94221 97527 127794 128934 131157 133458 136097 188442 191691 195054 200187 262314 272194 276887 292581 383382 400374 408291 422617 553774 585162 617671 816582 830661 845234 1224873 1235342 1267851 1661322 1853013 2449746 2491983 2535702 3706026 3803553 4983966 5559039 7607106 8029723 11118078 16059446 24089169 48178338 72267507 144535014