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1014241312 = 2579746679
BaseRepresentation
bin111100011101000…
…001100000100000
32121200110210112001
4330131001200200
54034121210222
6244350413344
734063623520
oct7435014040
92550423461
101014241312
11480570567
12243801254
131321853b6
14989b7680
155e095e27
hex3c741820

1014241312 has 48 divisors (see below), whose sum is σ = 2305618560. Its totient is φ = 430184448.

The previous prime is 1014241219. The next prime is 1014241321. The reversal of 1014241312 is 2131424101.

It is a self number, because there is not a number n which added to its sum of digits gives 1014241312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1612 + ... + 45067.

It is an arithmetic number, because the mean of its divisors is an integer number (48033720).

Almost surely, 21014241312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152809280).

1014241312 is an abundant number, since it is smaller than the sum of its proper divisors (1291377248).

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

1014241312 is an equidigital number, since it uses as much as digits as its factorization.

1014241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46793 (or 46785 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1014241312 is about 31847.1554773735. The cubic root of 1014241312 is about 1004.7247456216.

Adding to 1014241312 its reverse (2131424101), we get a palindrome (3145665413).

The spelling of 1014241312 in words is "one billion, fourteen million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2716 3104 5432 10864 21728 46679 93358 186716 326753 373432 653506 746864 1307012 1493728 2614024 4527863 5228048 9055726 10456096 18111452 31695041 36222904 63390082 72445808 126780164 144891616 253560328 507120656 1014241312