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4394741040 = 24325193143241
BaseRepresentation
bin1000001011111001…
…00110110100110000
3102100021110222100200
410011330212310300
533000023203130
62004030315200
7213622453044
oct40574466460
912307428320
104394741040
111955797a98
12a27958b00
135506413b1
142d994a024
151aac4a760
hex105f26d30

4394741040 has 480 divisors, whose sum is σ = 16477992960. Its totient is φ = 1045094400.

The previous prime is 4394741033. The next prime is 4394741041. The reversal of 4394741040 is 401474934.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4394740986 and 4394741004.

It is not an unprimeable number, because it can be changed into a prime (4394741041) 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, 18235320 + ... + 18235560.

It is an arithmetic number, because the mean of its divisors is an integer number (34329152).

Almost surely, 24394741040 is an apocalyptic number.

4394741040 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 4394741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8238996480).

4394741040 is an abundant number, since it is smaller than the sum of its proper divisors (12083251920).

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

4394741040 is a wasteful number, since it uses less digits than its factorization.

4394741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4394741040 is about 66292.8430526252. The cubic root of 4394741040 is about 1637.9894358114.

The spelling of 4394741040 in words is "four billion, three hundred ninety-four million, seven hundred forty-one thousand, forty".