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144104004 = 2232111033533
BaseRepresentation
bin10001001011011…
…01101001000100
3101001011020112100
420211231221010
5243342312004
622144352100
73366602202
oct1045555104
9331136470
10144104004
1174385520
1240315630
1323b16355
14151d2072
15c9b7739
hex896da44

144104004 has 72 divisors (see below), whose sum is σ = 401349312. Its totient is φ = 43231680.

The previous prime is 144104003. The next prime is 144104033. The reversal of 144104004 is 400401441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144104003) 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, 39022 + ... + 42554.

It is an arithmetic number, because the mean of its divisors is an integer number (5574296).

Almost surely, 2144104004 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 144104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674656).

144104004 is an abundant number, since it is smaller than the sum of its proper divisors (257245308).

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

144104004 is a wasteful number, since it uses less digits than its factorization.

144104004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144104004 is about 12004.3327178148. The cubic root of 144104004 is about 524.2744371722.

Adding to 144104004 its reverse (400401441), we get a palindrome (544505445).

The spelling of 144104004 in words is "one hundred forty-four million, one hundred four thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1854 2266 3399 3533 3708 4532 6798 7066 10197 10599 13596 14132 20394 21198 31797 38863 40788 42396 63594 77726 116589 127188 155452 233178 349767 363899 466356 699534 727798 1091697 1399068 1455596 2183394 3275091 4002889 4366788 6550182 8005778 12008667 13100364 16011556 24017334 36026001 48034668 72052002 144104004