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1014000000 = 27356132
BaseRepresentation
bin111100011100000…
…110100110000000
32121200000112111120
4330130012212000
54034041000000
6244341312240
734061600136
oct7434064600
92550015446
101014000000
11480416232
12243705680
131320cc600
1498953756
155e0496a0
hex3c706980

1014000000 has 336 divisors, whose sum is σ = 3645656460. Its totient is φ = 249600000.

The previous prime is 1013999989. The next prime is 1014000007. The reversal of 1014000000 is 4101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 77999994 + ... + 78000006.

Almost surely, 21014000000 is an apocalyptic number.

1014000000 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 1014000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822828230).

1014000000 is an abundant number, since it is smaller than the sum of its proper divisors (2631656460).

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

1014000000 is an frugal number, since it uses more digits than its factorization.

1014000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1014000000 is about 31843.3666561813. The cubic root of 1014000000 is about 1004.6450567068.

Adding to 1014000000 its reverse (4101), we get a palindrome (1014004101).

The spelling of 1014000000 in words is "one billion, fourteen million", and thus it is an aban number.