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4441620480 = 21435113153
BaseRepresentation
bin1000010001011110…
…11100000000000000
3102110112200200212020
410020233130000000
533044023323410
62012423201440
7215032102563
oct41057340000
912415620766
104441620480
11197a1a7230
12a3b5a6280
1355a2762cb
14301c704da
151aee0aa70
hex108bdc000

4441620480 has 480 divisors, whose sum is σ = 16306956288. Its totient is φ = 1022361600.

The previous prime is 4441620479. The next prime is 4441620523. The reversal of 4441620480 is 840261444.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83804134 + ... + 83804186.

Almost surely, 24441620480 is an apocalyptic number.

4441620480 is a gapful number since it is divisible by the number (40) 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 4441620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153478144).

4441620480 is an abundant number, since it is smaller than the sum of its proper divisors (11865335808).

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

4441620480 is a wasteful number, since it uses less digits than its factorization.

4441620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4441620480 is about 66645.4835679058. The cubic root of 4441620480 is about 1643.7930843473.

The spelling of 4441620480 in words is "four billion, four hundred forty-one million, six hundred twenty thousand, four hundred eighty".