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32001424112 = 2472223183041
BaseRepresentation
bin11101110011011011…
…101111101011110000
310001121020022210010002
4131303123233223300
51011014331032422
622411245325132
72212011421400
oct356333575360
9101536283102
1032001424112
1112631a73649
1262512667a8
13302cc1a718
141798194800
15c746bd692
hex7736efaf0

32001424112 has 60 divisors (see below), whose sum is σ = 72449487936. Its totient is φ = 13653319680.

The previous prime is 32001424109. The next prime is 32001424127. The reversal of 32001424112 is 21142410023.

It is a super-2 number, since 2×320014241122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83312 + ... + 266352.

Almost surely, 232001424112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32001424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224743968).

32001424112 is an abundant number, since it is smaller than the sum of its proper divisors (40448063824).

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

32001424112 is a wasteful number, since it uses less digits than its factorization.

32001424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183286 (or 183273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 32001424112 its reverse (21142410023), we get a palindrome (53143834135).

The spelling of 32001424112 in words is "thirty-two billion, one million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 223 392 446 784 892 1561 1784 3122 3568 6244 10927 12488 21854 24976 43708 87416 174832 183041 366082 732164 1281287 1464328 2562574 2928656 5125148 8969009 10250296 17938018 20500592 35876036 40818143 71752072 81636286 143504144 163272572 285727001 326545144 571454002 653090288 1142908004 2000089007 2285816008 4000178014 4571632016 8000356028 16000712056 32001424112