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10144222140114 = 2325314971364809
BaseRepresentation
bin1001001110011110001011…
…0000011101011011010010
31022220210000021122001222100
42103213202300131123102
52312200331331440424
633324105154021230
72064616165326066
oct223474260353322
938823007561870
1010144222140114
11326115aa36557
12117a027577816
1358779967877a
14270da93b7aa6
15128d1b668dc9
hex939e2c1d6d2

10144222140114 has 48 divisors (see below), whose sum is σ = 22544143479000. Its totient is φ = 3295341374208.

The previous prime is 10144222140047. The next prime is 10144222140163. The reversal of 10144222140114 is 41104122244101.

10144222140114 is a `hidden beast` number, since 1 + 0 + 1 + 442 + 2 + 214 + 0 + 1 + 1 + 4 = 666.

10144222140114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8297251445025 + 1846970695089 = 2880495^2 + 1359033^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35540259 + ... + 35824550.

Almost surely, 210144222140114 is an apocalyptic number.

10144222140114 is an abundant number, since it is smaller than the sum of its proper divisors (12399921338886).

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

10144222140114 is a wasteful number, since it uses less digits than its factorization.

10144222140114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71365019 (or 71365016 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 10144222140114 its reverse (41104122244101), we get a palindrome (51248344384215).

The spelling of 10144222140114 in words is "ten trillion, one hundred forty-four billion, two hundred twenty-two million, one hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 53 106 149 159 298 318 447 477 894 954 1341 2682 7897 15794 23691 47382 71073 142146 71364809 142729618 214094427 428188854 642283281 1284566562 3782334877 7564669754 10633356541 11347004631 21266713082 22694009262 31900069623 34041013893 63800139246 68082027786 95700208869 191400417738 563567896673 1127135793346 1690703690019 3381407380038 5072111070057 10144222140114