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54042442434 = 23317239246317
BaseRepresentation
bin110010010101001011…
…100011101011000010
312011111022101112011000
4302111023203223002
51341134331124214
640454325032430
73622136116131
oct622513435302
9164438345130
1054042442434
1120a12605972
12a582855716
1351334018b6
142889571918
151614700809
hexc952e3ac2

54042442434 has 64 divisors (see below), whose sum is σ = 127691251200. Its totient is φ = 16883483904.

The previous prime is 54042442381. The next prime is 54042442511. The reversal of 54042442434 is 43424424045.

54042442434 is a `hidden beast` number, since 5 + 404 + 2 + 4 + 4 + 243 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 96244 + ... + 342560.

It is an arithmetic number, because the mean of its divisors is an integer number (1995175800).

Almost surely, 254042442434 is an apocalyptic number.

54042442434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54042442434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63845625600).

54042442434 is an abundant number, since it is smaller than the sum of its proper divisors (73648808766).

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

54042442434 is a wasteful number, since it uses less digits than its factorization.

54042442434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246584 (or 246578 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 54042442434 its reverse (43424424045), we get a palindrome (97466866479).

The spelling of 54042442434 in words is "fifty-four billion, forty-two million, four hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 239 306 459 478 717 918 1434 2151 4063 4302 6453 8126 12189 12906 24378 36567 73134 109701 219402 246317 492634 738951 1477902 2216853 4187389 4433706 6650559 8374778 12562167 13301118 25124334 37686501 58869763 75373002 113059503 117739526 176609289 226119006 353218578 529827867 1000785971 1059655734 1589483601 2001571942 3002357913 3178967202 6004715826 9007073739 18014147478 27021221217 54042442434