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1014213440 = 2653169417
BaseRepresentation
bin111100011100111…
…010101101000000
32121200102101021202
4330130322231000
54034114312230
6244350040332
734063446332
oct7434725500
92550371252
101014213440
11480551629
122437a90a8
131321757c6
14989ab452
155e08ca45
hex3c73ab40

1014213440 has 28 divisors (see below), whose sum is σ = 2415096516. Its totient is φ = 405685248.

The previous prime is 1014213439. The next prime is 1014213449. The reversal of 1014213440 is 443124101.

1014213440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 593799424 + 420414016 = 24368^2 + 20504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014213449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1584389 + ... + 1585028.

It is an arithmetic number, because the mean of its divisors is an integer number (86253447).

Almost surely, 21014213440 is an apocalyptic number.

1014213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014213440 is an abundant number, since it is smaller than the sum of its proper divisors (1400883076).

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

1014213440 is an equidigital number, since it uses as much as digits as its factorization.

1014213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169434 (or 3169424 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1014213440 is about 31846.7178842656. The cubic root of 1014213440 is about 1004.7155420444.

Adding to 1014213440 its reverse (443124101), we get a palindrome (1457337541).

The spelling of 1014213440 in words is "one billion, fourteen million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3169417 6338834 12677668 15847085 25355336 31694170 50710672 63388340 101421344 126776680 202842688 253553360 507106720 1014213440