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32441000020 = 2251113253101163
BaseRepresentation
bin11110001101101000…
…100110000001010100
310002201212110112220021
4132031220212001110
51012414344000040
622523031114524
72225626643662
oct361550460124
9102655415807
1032441000020
111283810a520
126354512a44
1330a0007800
1417da6dbc32
15c9d09d24a
hex78da26054

32441000020 has 288 divisors, whose sum is σ = 83314272384. Its totient is φ = 10513152000.

The previous prime is 32440999993. The next prime is 32441000027. The reversal of 32441000020 is 2000014423.

It is a junction number, because it is equal to n+sod(n) for n = 32440999958 and 32441000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32441000027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199024459 + ... + 199024621.

It is an arithmetic number, because the mean of its divisors is an integer number (289285668).

Almost surely, 232441000020 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 32441000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41657136192).

32441000020 is an abundant number, since it is smaller than the sum of its proper divisors (50873272364).

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

32441000020 is a wasteful number, since it uses less digits than its factorization.

32441000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 32441000020 its reverse (2000014423), we get a palindrome (34441014443).

The spelling of 32441000020 in words is "thirty-two billion, four hundred forty-one million, twenty", and thus it is an aban number.