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144000442410 = 23511436364977
BaseRepresentation
bin1000011000011100011…
…0000110000000101010
3111202200122020102001220
42012013012012000222
54324403103124120
6150053005122510
713255315364466
oct2060706060052
9452618212056
10144000442410
115608554a7a0
1223aa9559436
131076b609b96
146d80a594a6
153b2c032b40
hex218718602a

144000442410 has 32 divisors (see below), whose sum is σ = 377019340992. Its totient is φ = 34909198080.

The previous prime is 144000442393. The next prime is 144000442429. The reversal of 144000442410 is 14244000441.

It is a happy number.

It is a super-2 number, since 2×1440004424102 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 218182159 + ... + 218182818.

It is an arithmetic number, because the mean of its divisors is an integer number (11781854406).

Almost surely, 2144000442410 is an apocalyptic number.

144000442410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144000442410 is an abundant number, since it is smaller than the sum of its proper divisors (233018898582).

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

144000442410 is a wasteful number, since it uses less digits than its factorization.

144000442410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436364998.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 144000442410 its reverse (14244000441), we get a palindrome (158244442851).

The spelling of 144000442410 in words is "one hundred forty-four billion, four hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 436364977 872729954 1309094931 2181824885 2618189862 4363649770 4800014747 6545474655 9600029494 13090949310 14400044241 24000073735 28800088482 48000147470 72000221205 144000442410