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22142442131442 = 2328754114052109
BaseRepresentation
bin1010000100011011100000…
…11001011100111111110010
32220101210111212022100220200
411002031300121130333302
510400240210141201232
6115032033020220030
74443511233456003
oct502156031347762
986353455270820
1022142442131442
117067614370506
12259742b09a616
13c4803c357789
145679b28051aa
15285e9817e77c
hex14237065cff2

22142442131442 has 24 divisors (see below), whose sum is σ = 47975842731180. Its totient is φ = 7380729205920.

The previous prime is 22142442131423. The next prime is 22142442131471. The reversal of 22142442131442 is 24413124424122.

22142442131442 is a `hidden beast` number, since 2 + 2 + 1 + 42 + 4 + 42 + 131 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19752700248801 + 2389741882641 = 4444401^2 + 1545879^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22142442131397 and 22142442131406.

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 11 ways as a sum of consecutive naturals, for example, 5450317 + ... + 8601792.

Almost surely, 222142442131442 is an apocalyptic number.

22142442131442 is an abundant number, since it is smaller than the sum of its proper divisors (25833400599738).

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

22142442131442 is a wasteful number, since it uses less digits than its factorization.

22142442131442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139658 (or 14139655 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 22142442131442 its reverse (24413124424122), we get a palindrome (46555566555564).

The spelling of 22142442131442 in words is "twenty-two trillion, one hundred forty-two billion, four hundred forty-two million, one hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 87541 175082 262623 525246 787869 1575738 14052109 28104218 42156327 84312654 126468981 252937962 1230135673969 2460271347938 3690407021907 7380814043814 11071221065721 22142442131442