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144117204 = 223711198209
BaseRepresentation
bin10001001011100…
…00110111010100
3101001011220122020
420211300313110
5243343222304
622144533140
73366655530
oct1045606724
9331156566
10144117204
1174394430
12403211b0
1323b1c36a
14151d6bc0
15c9bb5d9
hex8970dd4

144117204 has 96 divisors (see below), whose sum is σ = 441369600. Its totient is φ = 35458560.

The previous prime is 144117191. The next prime is 144117221. The reversal of 144117204 is 402711441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13452 + ... + 21660.

It is an arithmetic number, because the mean of its divisors is an integer number (4597600).

Almost surely, 2144117204 is an apocalyptic number.

144117204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144117204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220684800).

144117204 is an abundant number, since it is smaller than the sum of its proper divisors (297252396).

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

144117204 is a wasteful number, since it uses less digits than its factorization.

144117204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 144117204 is about 12004.8825067137. The cubic root of 144117204 is about 524.2904446184.

Adding to 144117204 its reverse (402711441), we get a palindrome (546828645).

The spelling of 144117204 in words is "one hundred forty-four million, one hundred seventeen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8209 8778 16418 17556 24627 32836 49254 57463 90299 98508 114926 155971 172389 180598 229852 270897 311942 344778 361196 467913 541794 623884 632093 689556 935826 1083588 1091797 1264186 1715681 1871652 1896279 2183594 2528372 3275391 3431362 3792558 4367188 5147043 6550782 6862724 7585116 10294086 12009767 13101564 20588172 24019534 36029301 48039068 72058602 144117204