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4001721140 = 225200086057
BaseRepresentation
bin1110111010000101…
…0110101100110100
3101022212221111102002
43232201112230310
531143420034030
61501030434432
7201111032324
oct35641265464
911285844362
104001721140
11177395a35a
12938202a18
134ba0a4c41
1429d681284
151864b5245
hexee856b34

4001721140 has 12 divisors (see below), whose sum is σ = 8403614436. Its totient is φ = 1600688448.

The previous prime is 4001721109. The next prime is 4001721167. The reversal of 4001721140 is 411271004.

It can be written as a sum of positive squares in 2 ways, for example, as 1342049956 + 2659671184 = 36634^2 + 51572^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 200086057 = 4001721140 / (4 + 0 + 0 + 1 + 7 + 2 + 1 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 100043009 + ... + 100043048.

It is an arithmetic number, because the mean of its divisors is an integer number (700301203).

Almost surely, 24001721140 is an apocalyptic number.

It is an amenable number.

4001721140 is an abundant number, since it is smaller than the sum of its proper divisors (4401893296).

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

4001721140 is a wasteful number, since it uses less digits than its factorization.

4001721140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200086066 (or 200086064 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 4001721140 is about 63259.1585464113. The cubic root of 4001721140 is about 1587.6286976077.

Adding to 4001721140 its reverse (411271004), we get a palindrome (4412992144).

The spelling of 4001721140 in words is "four billion, one million, seven hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 200086057 400172114 800344228 1000430285 2000860570 4001721140