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1014052014 = 233231635009
BaseRepresentation
bin111100011100010…
…011010010101110
32121200010011212000
4330130103102232
54034044131024
6244342353130
734062204603
oct7434232256
92550104760
101014052014
11480451318
1224372b7a6
1313211a1a1
14989686aa
155e059cc9
hex3c7134ae

1014052014 has 64 divisors (see below), whose sum is σ = 2366323200. Its totient is φ = 321273216.

The previous prime is 1014052009. The next prime is 1014052031. The reversal of 1014052014 is 4102504101.

1014052014 is a `hidden beast` number, since 1 + 0 + 140 + 520 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199942 + ... + 204950.

It is an arithmetic number, because the mean of its divisors is an integer number (36973800).

Almost surely, 21014052014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014052014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183161600).

1014052014 is an abundant number, since it is smaller than the sum of its proper divisors (1352271186).

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

1014052014 is a wasteful number, since it uses less digits than its factorization.

1014052014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1014052014 is about 31844.1833621150. The cubic root of 1014052014 is about 1004.6622344564.

Adding to 1014052014 its reverse (4102504101), we get a palindrome (5116556115).

The spelling of 1014052014 in words is "one billion, fourteen million, fifty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 163 207 326 414 489 621 978 1242 1467 2934 3749 4401 5009 7498 8802 10018 11247 15027 22494 30054 33741 45081 67482 90162 101223 115207 135243 202446 230414 270486 345621 691242 816467 1036863 1632934 2073726 2449401 3110589 4898802 6221178 7348203 14696406 18778741 22044609 37557482 44089218 56336223 112672446 169008669 338017338 507026007 1014052014