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144302214324312 = 233311241134663537
BaseRepresentation
bin100000110011110111111010…
…001110011010000001011000
3200220221011020102111121012000
4200303313322032122001120
5122403221413331334222
61230523304434521000
742252330251463552
oct4063677216320130
9626834212447160
10144302214324312
1141a85253042800
121422689b736160
1362698430132b5
14278c39b8984d2
1511a39722519ac
hex833dfa39a058

144302214324312 has 192 divisors, whose sum is σ = 451338313960800. Its totient is φ = 42661408204800.

The previous prime is 144302214324239. The next prime is 144302214324349. The reversal of 144302214324312 is 213423412203441.

144302214324312 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 2 + 2 + 14 + 324 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66260193 + ... + 68403344.

Almost surely, 2144302214324312 is an apocalyptic number.

144302214324312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144302214324312 is an abundant number, since it is smaller than the sum of its proper divisors (307036099636488).

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

144302214324312 is a wasteful number, since it uses less digits than its factorization.

144302214324312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134663615 (or 134663594 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 144302214324312 its reverse (213423412203441), we get a palindrome (357725626527753).

The spelling of 144302214324312 in words is "one hundred forty-four trillion, three hundred two billion, two hundred fourteen million, three hundred twenty-four thousand, three hundred twelve".