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42331404114 = 2335343334159
BaseRepresentation
bin100111011011001001…
…011111011101010010
311001021011000010201000
4213123021133131102
51143143314412424
631240300522430
73026003666226
oct473311373522
9131234003630
1042331404114
1116a52a794aa
128254850416
133cb80a181c
142098092786
15117b50d3c9
hex9db25f752

42331404114 has 64 divisors (see below), whose sum is σ = 96068851200. Its totient is φ = 13811855616.

The previous prime is 42331404109. The next prime is 42331404119. The reversal of 42331404114 is 41140413324.

42331404114 is a `hidden beast` number, since 4 + 233 + 14 + 0 + 411 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42331404109) and next prime (42331404119).

It is a super-2 number, since 2×423314041142 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42331404119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222167 + ... + 1256325.

It is an arithmetic number, because the mean of its divisors is an integer number (1501075800).

Almost surely, 242331404114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42331404114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48034425600).

42331404114 is an abundant number, since it is smaller than the sum of its proper divisors (53737447086).

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

42331404114 is a wasteful number, since it uses less digits than its factorization.

42331404114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34656 (or 34650 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42331404114 its reverse (41140413324), we get a palindrome (83471817438).

The spelling of 42331404114 in words is "forty-two billion, three hundred thirty-one million, four hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 433 477 866 954 1299 1431 2598 2862 3897 7794 11691 22949 23382 34159 45898 68318 68847 102477 137694 204954 206541 307431 413082 614862 619623 922293 1239246 1810427 1844586 3620854 5431281 10862562 14790847 16293843 29581694 32587686 44372541 48881529 88745082 97763058 133117623 266235246 399352869 783914891 798705738 1567829782 2351744673 4703489346 7055234019 14110468038 21165702057 42331404114