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42123233232124 = 22116196716229783
BaseRepresentation
bin10011001001111100101000…
…10110101000010011111100
312112010221102112211200102221
421210332110112220103330
521010121340201411444
6225331051325055124
711605205662533652
oct1144762426502374
9175127375750387
1042123233232124
11124703aa011140
1248839216b74a4
131a67285b1bba5
14a58abd86add2
154d0ac6964a84
hex264f945a84fc

42123233232124 has 48 divisors (see below), whose sum is σ = 81819924189696. Its totient is φ = 18813563294400.

The previous prime is 42123233232121. The next prime is 42123233232137.

It is a happy number.

42123233232124 is nontrivially palindromic in base 10.

42123233232124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42123233232124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42123233232121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5519464 + ... + 10710319.

It is an arithmetic number, because the mean of its divisors is an integer number (1704581753952).

Almost surely, 242123233232124 is an apocalyptic number.

42123233232124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42123233232124 is a deficient number, since it is larger than the sum of its proper divisors (39696690957572).

42123233232124 is a wasteful number, since it uses less digits than its factorization.

42123233232124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16230826 (or 16230824 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 4212323 and 3232124, that added together give a palindrome (7444447).

The spelling of 42123233232124 in words is "forty-two trillion, one hundred twenty-three billion, two hundred thirty-three million, two hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 61 122 244 671 967 1342 1934 2684 3868 10637 21274 42548 58987 117974 235948 648857 1297714 2595428 16229783 32459566 64919132 178527613 357055226 714110452 990016763 1980033526 3960067052 10890184393 15694200161 21780368786 31388400322 43560737572 62776800644 172636201771 345272403542 690544807084 957346209821 1914692419642 3829384839284 10530808308031 21061616616062 42123233232124