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144085676 = 22721783521
BaseRepresentation
bin10001001011010…
…01001010101100
3101001010022101112
420211221022230
5243341220201
622144131152
73366464600
oct1045511254
9331108345
10144085676
1174372779
1240306ab8
1323b0abc7
14151c9500
15c9b20bb
hex89692ac

144085676 has 72 divisors (see below), whose sum is σ = 314916336. Its totient is φ = 57308160.

The previous prime is 144085673. The next prime is 144085681. The reversal of 144085676 is 676580441.

It is not an unprimeable number, because it can be changed into a prime (144085673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276296 + ... + 276816.

It is an arithmetic number, because the mean of its divisors is an integer number (4373838).

Almost surely, 2144085676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144085676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157458168).

144085676 is an abundant number, since it is smaller than the sum of its proper divisors (170830660).

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

144085676 is a wasteful number, since it uses less digits than its factorization.

144085676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 144085676 is about 12003.5693025033. The cubic root of 144085676 is about 524.2522094546.

The spelling of 144085676 in words is "one hundred forty-four million, eighty-five thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 83 98 119 166 196 238 332 476 521 581 833 1042 1162 1411 1666 2084 2324 2822 3332 3647 4067 5644 7294 8134 8857 9877 14588 16268 17714 19754 25529 35428 39508 43243 51058 61999 69139 86486 102116 123998 138278 172972 247996 276556 302701 433993 605402 735131 867986 1210804 1470262 1735972 2118907 2940524 4237814 5145917 8475628 10291834 20583668 36021419 72042838 144085676