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3114001314 = 2331927710957
BaseRepresentation
bin1011100110011011…
…1110001110100010
322001000112122202000
42321212332032202
522334141020224
61232555504430
7140111401014
oct27146761642
98030478660
103114001314
111358855306
1272aa58116
133a81bac38
142178001b4
151335b20c9
hexb99be3a2

3114001314 has 64 divisors (see below), whose sum is σ = 7311177600. Its totient is φ = 979729344.

The previous prime is 3114001307. The next prime is 3114001327. The reversal of 3114001314 is 4131004113.

3114001314 is a `hidden beast` number, since 311 + 40 + 0 + 1 + 314 = 666.

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

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, 278724 + ... + 289680.

It is an arithmetic number, because the mean of its divisors is an integer number (114237150).

Almost surely, 23114001314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114001314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655588800).

3114001314 is an abundant number, since it is smaller than the sum of its proper divisors (4197176286).

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

3114001314 is a wasteful number, since it uses less digits than its factorization.

3114001314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11264 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3114001314 is about 55803.2374867265. The cubic root of 3114001314 is about 1460.2916340549.

Adding to 3114001314 its reverse (4131004113), we get a palindrome (7245005427).

The spelling of 3114001314 in words is "three billion, one hundred fourteen million, one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 277 342 513 554 831 1026 1662 2493 4986 5263 7479 10526 10957 14958 15789 21914 31578 32871 47367 65742 94734 98613 142101 197226 208183 284202 295839 416366 591678 624549 1249098 1873647 3035089 3747294 5620941 6070178 9105267 11241882 18210534 27315801 54631602 57666691 81947403 115333382 163894806 173000073 346000146 519000219 1038000438 1557000657 3114001314