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144112314051414 = 23225731152683539
BaseRepresentation
bin100000110001000111000011…
…010010010110101101010110
3200220021000001221122012200100
4200301013003102112231112
5122342114004344121124
61230300141052554530
742232525326006222
oct4061070322265526
9626230057565610
10144112314051414
1141a11764311005
12141b5b22482a46
13625496b25ab07
142783104c99782
15119da5a7d91c9
hex8311c3496b56

144112314051414 has 24 divisors (see below), whose sum is σ = 313458301779480. Its totient is φ = 47850521914368.

The previous prime is 144112314051403. The next prime is 144112314051463. The reversal of 144112314051414 is 414150413211441.

144112314051414 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 231 + 4 + 0 + 5 + 1 + 414 = 666.

It is a super-2 number, since 2×1441123140514142 (a number of 29 digits) contains 22 as substring.

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, 15576337144 + ... + 15576346395.

It is an arithmetic number, because the mean of its divisors is an integer number (13060762574145).

Almost surely, 2144112314051414 is an apocalyptic number.

144112314051414 is an abundant number, since it is smaller than the sum of its proper divisors (169345987728066).

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

144112314051414 is a wasteful number, since it uses less digits than its factorization.

144112314051414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31152683804 (or 31152683801 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 144112314051414 its reverse (414150413211441), we get a palindrome (558262727262855).

The spelling of 144112314051414 in words is "one hundred forty-four trillion, one hundred twelve billion, three hundred fourteen million, fifty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 257 514 771 1542 2313 4626 31152683539 62305367078 93458050617 186916101234 280374151851 560748303702 8006239669523 16012479339046 24018719008569 48037438017138 72056157025707 144112314051414