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2402114112042 = 232636301241589
BaseRepresentation
bin100010111101001001001…
…010001000101000101010
322111122021110111020110220
4202331021022020220222
5303324012203041132
65035303241550510
7335355425030031
oct42751112105052
98448243436426
102402114112042
1184680487a917
123296671a5436
13145697b91988
1484397733718
15427402c9a2c
hex22f49288a2a

2402114112042 has 32 divisors (see below), whose sum is σ = 4823280570240. Its totient is φ = 797530305600.

The previous prime is 2402114112029. The next prime is 2402114112049.

It is a happy number.

2402114112042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24021141120422 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2402114112049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9822184 + ... + 10063772.

It is an arithmetic number, because the mean of its divisors is an integer number (150727517820).

Almost surely, 22402114112042 is an apocalyptic number.

2402114112042 is an abundant number, since it is smaller than the sum of its proper divisors (2421166458198).

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

2402114112042 is a wasteful number, since it uses less digits than its factorization.

2402114112042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248158.

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 2402114112042 in words is "two trillion, four hundred two billion, one hundred fourteen million, one hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 263 526 789 1578 6301 12602 18903 37806 241589 483178 724767 1449534 1657163 3314326 4971489 9942978 63537907 127075814 190613721 381227442 1522252289 3044504578 4566756867 9133513734 400352352007 800704704014 1201057056021 2402114112042