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42442133514 = 23112293199523
BaseRepresentation
bin100111100001101111…
…111001000000001010
311001112212100202212220
4213201233321000022
51143410141233024
631255254114510
73031520116404
oct474157710012
9131485322786
1042442133514
1116aaa529100
12828594ba36
134005000b91
1420a8a77b74
1511860d1e79
hex9e1bf900a

42442133514 has 48 divisors (see below), whose sum is σ = 93621449376. Its totient is φ = 12817293280.

The previous prime is 42442133509. The next prime is 42442133533. The reversal of 42442133514 is 41533124424.

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

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 112957 + ... + 312479.

It is an arithmetic number, because the mean of its divisors is an integer number (1950446862).

Almost surely, 242442133514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42442133514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46810724688).

42442133514 is an abundant number, since it is smaller than the sum of its proper divisors (51179315862).

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

42442133514 is a wasteful number, since it uses less digits than its factorization.

42442133514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199843 (or 199832 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

Adding to 42442133514 its reverse (41533124424), we get a palindrome (83975257938).

The spelling of 42442133514 in words is "forty-two billion, four hundred forty-two million, one hundred thirty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 293 363 586 726 879 1758 3223 6446 9669 19338 35453 70906 106359 199523 212718 399046 598569 1197138 2194753 4389506 6584259 13168518 24142283 48284566 58460239 72426849 116920478 144853698 175380717 350761434 643062629 1286125258 1929187887 3858375774 7073688919 14147377838 21221066757 42442133514