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44202112020 = 223351113035711
BaseRepresentation
bin101001001010101001…
…101011010000010100
311020002112001221112000
4221022221223100110
51211011220041040
632150044355300
73123240516153
oct511251532024
9136075057460
1044202112020
1117822a37aa0
128697245b30
13422581a691
1421d46d359a
15123a882130
hexa4aa6b414

44202112020 has 192 divisors, whose sum is σ = 150160711680. Its totient is φ = 10705564800.

The previous prime is 44202111997. The next prime is 44202112037. The reversal of 44202112020 is 2021120244.

44202112020 is a `hidden beast` number, since 442 + 0 + 21 + 1 + 202 + 0 = 666.

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 = 44202111984 and 44202112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7736965 + ... + 7742675.

It is an arithmetic number, because the mean of its divisors is an integer number (782087040).

Almost surely, 244202112020 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 44202112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75080355840).

44202112020 is an abundant number, since it is smaller than the sum of its proper divisors (105958599660).

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

44202112020 is a wasteful number, since it uses less digits than its factorization.

44202112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 44202112020 its reverse (2021120244), we get a palindrome (46223232264).

It can be divided in two parts, 4 and 4202112020, that added together give a palindrome (4202112024).

The spelling of 44202112020 in words is "forty-four billion, two hundred two million, one hundred twelve thousand, twenty".