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1014244440 = 23351143107167
BaseRepresentation
bin111100011101000…
…010010001011000
32121200110221210220
4330131002101120
54034121310230
6244350440040
734063635606
oct7435022130
92550427726
101014244440
11480572950
12243803020
13132186951
14989b8876
155e096d10
hex3c742458

1014244440 has 256 divisors, whose sum is σ = 3448811520. Its totient is φ = 236490240.

The previous prime is 1014244433. The next prime is 1014244477. The reversal of 1014244440 is 444424101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1014244440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6073237 + ... + 6073403.

It is an arithmetic number, because the mean of its divisors is an integer number (13471920).

Almost surely, 21014244440 is an apocalyptic number.

1014244440 is a gapful number since it is divisible by the number (10) 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 1014244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724405760).

1014244440 is an abundant number, since it is smaller than the sum of its proper divisors (2434567080).

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

1014244440 is a wasteful number, since it uses less digits than its factorization.

1014244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1014244440 is about 31847.2045869021. The cubic root of 1014244440 is about 1004.7257785040.

Adding to 1014244440 its reverse (444424101), we get a palindrome (1458668541).

The spelling of 1014244440 in words is "one billion, fourteen million, two hundred forty-four thousand, four hundred forty".