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4001014420 = 2251315388517
BaseRepresentation
bin1110111001111010…
…1010001010010100
3101022211121120222021
43232132222022110
531143224430140
61501003342524
7201102030034
oct35636521224
911284546867
104001014420
111773517397
12937b21a44
134b9bb8370
1429d5398c4
151863c5b4a
hexee7aa294

4001014420 has 24 divisors (see below), whose sum is σ = 9048448584. Its totient is φ = 1477297536.

The previous prime is 4001014403. The next prime is 4001014429. The reversal of 4001014420 is 244101004.

It can be written as a sum of positive squares in 4 ways, for example, as 571975056 + 3429039364 = 23916^2 + 58558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4001014394 and 4001014403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001014429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7693999 + ... + 7694518.

It is an arithmetic number, because the mean of its divisors is an integer number (377018691).

Almost surely, 24001014420 is an apocalyptic number.

It is an amenable number.

4001014420 is an abundant number, since it is smaller than the sum of its proper divisors (5047434164).

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

4001014420 is a wasteful number, since it uses less digits than its factorization.

4001014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15388539 (or 15388537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4001014420 is about 63253.5723892335. The cubic root of 4001014420 is about 1587.5352315739.

Adding to 4001014420 its reverse (244101004), we get a palindrome (4245115424).

The spelling of 4001014420 in words is "four billion, one million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 15388517 30777034 61554068 76942585 153885170 200050721 307770340 400101442 800202884 1000253605 2000507210 4001014420