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42414234324 = 22371145902851
BaseRepresentation
bin100111100000000101…
…011101101011010100
311001110220212100101120
4213200011131223110
51143331020444244
631252420123540
73031031020560
oct474005355324
9131426770346
1042414234324
1116a95803020
1282785365b0
133ccc2b3197
1420a50946a0
151183920819
hex9e015dad4

42414234324 has 48 divisors (see below), whose sum is σ = 123386866176. Its totient is φ = 11016684000.

The previous prime is 42414234307. The next prime is 42414234329. The reversal of 42414234324 is 42343241424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414234329) 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, 22950502 + ... + 22952349.

It is an arithmetic number, because the mean of its divisors is an integer number (2570559712).

Almost surely, 242414234324 is an apocalyptic number.

42414234324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42414234324 is an abundant number, since it is smaller than the sum of its proper divisors (80972631852).

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

42414234324 is a wasteful number, since it uses less digits than its factorization.

42414234324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45902876 (or 45902874 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

Adding to 42414234324 its reverse (42343241424), we get a palindrome (84757475748).

The spelling of 42414234324 in words is "forty-two billion, four hundred fourteen million, two hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 45902851 91805702 137708553 183611404 275417106 321319957 504931361 550834212 642639914 963959871 1009862722 1285279828 1514794083 1927919742 2019725444 3029588166 3534519527 3855839484 6059176332 7069039054 10603558581 14138078108 21207117162 42414234324