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42001105521114 = 233777798250391
BaseRepresentation
bin10011000110011001001001…
…11110011000100111011010
312111201021012021000011011000
421203030210332120213122
521001121231003133424
6225155012544245430
711563323356241315
oct1143144476304732
9174637167004130
1042001105521114
1112423629111273
124864119310876
131a588c1b9382c
14a52c15b0397c
154cc829cc13c9
hex263324f989da

42001105521114 has 16 divisors (see below), whose sum is σ = 93335790047040. Its totient is φ = 14000368507020.

The previous prime is 42001105521107. The next prime is 42001105521127. The reversal of 42001105521114 is 41112550110024.

42001105521114 is a `hidden beast` number, since 4 + 20 + 0 + 1 + 1 + 0 + 5 + 521 + 114 = 666.

42001105521114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 388899125142 + ... + 388899125249.

It is an arithmetic number, because the mean of its divisors is an integer number (5833486877940).

Almost surely, 242001105521114 is an apocalyptic number.

42001105521114 is an abundant number, since it is smaller than the sum of its proper divisors (51334684525926).

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

42001105521114 is a wasteful number, since it uses less digits than its factorization.

42001105521114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777798250402 (or 777798250396 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 42001105521114 its reverse (41112550110024), we get a palindrome (83113655631138).

The spelling of 42001105521114 in words is "forty-two trillion, one billion, one hundred five million, five hundred twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 777798250391 1555596500782 2333394751173 4666789502346 7000184253519 14000368507038 21000552760557 42001105521114