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32001114420 = 2233511219149173
BaseRepresentation
bin11101110011011010…
…100100000100110100
310001121012202001022000
4131303122210010310
51011014241130140
622411234535300
72212005661452
oct356332440464
9101535661260
1032001114420
1112631881a00
126251137530
13302cb3c782
1417981139d2
15c7465ba30
hex7736a4134

32001114420 has 576 divisors, whose sum is σ = 116635680000. Its totient is φ = 7258014720.

The previous prime is 32001114407. The next prime is 32001114421. The reversal of 32001114420 is 2441110023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32001114393 and 32001114402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32001114421) 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 191 ways as a sum of consecutive naturals, for example, 184977454 + ... + 184977626.

It is an arithmetic number, because the mean of its divisors is an integer number (202492500).

Almost surely, 232001114420 is an apocalyptic number.

32001114420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32001114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58317840000).

32001114420 is an abundant number, since it is smaller than the sum of its proper divisors (84634565580).

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

32001114420 is a wasteful number, since it uses less digits than its factorization.

32001114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32001114420 its reverse (2441110023), we get a palindrome (34442224443).

The spelling of 32001114420 in words is "thirty-two billion, one million, one hundred fourteen thousand, four hundred twenty".