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144121110 = 23571733967
BaseRepresentation
bin10001001011100…
…01110100010110
3101001012002222220
420211301310112
5243343333420
622145003210
73400003110
oct1045616426
9331162886
10144121110
1174397361
1240323506
1323b21083
14151d83b0
15c9bc840
hex8971d16

144121110 has 64 divisors (see below), whose sum is σ = 397688832. Its totient is φ = 32743296.

The previous prime is 144121093. The next prime is 144121141. The reversal of 144121110 is 11121441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 144121110.

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, 34347 + ... + 38313.

It is an arithmetic number, because the mean of its divisors is an integer number (6213888).

Almost surely, 2144121110 is an apocalyptic number.

144121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198844416).

144121110 is an abundant number, since it is smaller than the sum of its proper divisors (253567722).

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

144121110 is a wasteful number, since it uses less digits than its factorization.

144121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 144121110 is about 12005.0451894193. The cubic root of 144121110 is about 524.2951811798.

Adding to 144121110 its reverse (11121441), we get a palindrome (155242551).

The spelling of 144121110 in words is "one hundred forty-four million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 173 210 346 519 865 1038 1211 1730 2422 2595 3633 3967 5190 6055 7266 7934 11901 12110 18165 19835 23802 27769 36330 39670 55538 59505 83307 119010 138845 166614 277690 416535 686291 833070 1372582 2058873 3431455 4117746 4804037 6862910 9608074 10294365 14412111 20588730 24020185 28824222 48040370 72060555 144121110