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4001410424 = 231147967459
BaseRepresentation
bin1110111010000000…
…1010110101111000
3101022212100201012002
43232200022311320
531143330113144
61501020040132
7201105266414
oct35640126570
911285321162
104001410424
111773767970
12938093048
134b9cc669b
1429d5ddd44
1518645314e
hexee80ad78

4001410424 has 32 divisors (see below), whose sum is σ = 8358854400. Its totient is φ = 1780122720.

The previous prime is 4001410423. The next prime is 4001410481. The reversal of 4001410424 is 4240141004.

It is a happy number.

4001410424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40014104242 = 32022570762591719552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4001410396 and 4001410405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001410421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479594 + ... + 487865.

It is an arithmetic number, because the mean of its divisors is an integer number (261214200).

Almost surely, 24001410424 is an apocalyptic number.

4001410424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4001410424 is an abundant number, since it is smaller than the sum of its proper divisors (4357443976).

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

4001410424 is a wasteful number, since it uses less digits than its factorization.

4001410424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967523 (or 967519 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4001410424 is about 63256.7026013845. The cubic root of 4001410424 is about 1587.5876057550.

Adding to 4001410424 its reverse (4240141004), we get a palindrome (8241551428).

The spelling of 4001410424 in words is "four billion, one million, four hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 967459 1934918 3869836 7739672 10642049 21284098 42568196 45470573 85136392 90941146 181882292 363764584 500176303 1000352606 2000705212 4001410424