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144311242332312 = 233211182211164561
BaseRepresentation
bin100000110100000000010100…
…010101100001100010011000
3200220222000112121021220221200
4200310000110111201202120
5122403343411014113222
61230531400340234200
742253100054335566
oct4064002425414230
9626860477256850
10144311242332312
1141a89066123840
121422859b09b960
13626a65151b973
14278c9b68c0a36
1511a3ceeb11eac
hex834014561898

144311242332312 has 48 divisors (see below), whose sum is σ = 426374125075080. Its totient is φ = 43730679494400.

The previous prime is 144311242332293. The next prime is 144311242332343. The reversal of 144311242332312 is 213233242113441.

144311242332312 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 1 + 1 + 2 + 4 + 2 + 332 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91105581489 + ... + 91105583072.

Almost surely, 2144311242332312 is an apocalyptic number.

144311242332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144311242332312 is an abundant number, since it is smaller than the sum of its proper divisors (282062882742768).

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

144311242332312 is a wasteful number, since it uses less digits than its factorization.

144311242332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182211164584 (or 182211164577 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 144311242332312 its reverse (213233242113441), we get a palindrome (357544484445753).

The spelling of 144311242332312 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred forty-two million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 182211164561 364422329122 546633493683 728844658244 1093266987366 1457689316488 1639900481049 2004322810171 2186533974732 3279800962098 4008645620342 4373067949464 6012968430513 6559601924196 8017291240684 12025936861026 13119203848392 16034582481368 18038905291539 24051873722052 36077810583078 48103747444104 72155621166156 144311242332312