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3214002223314 = 23518613553559
BaseRepresentation
bin101110110001010001011…
…101011111100011010010
3102101020220100012121100000
4232301101131133203102
5410124234032121224
610500254153510430
7451126654066431
oct56612135374322
912336810177300
103214002223314
11102a061514563
1243aa8aa12416
131a4104a58bcc
14b17b68ad118
155890c0da0c9
hex2ec5175f8d2

3214002223314 has 48 divisors (see below), whose sum is σ = 7225467762240. Its totient is φ = 1070758096560.

The previous prime is 3214002223309. The next prime is 3214002223319. The reversal of 3214002223314 is 4133222004123.

3214002223314 is a `hidden beast` number, since 3 + 2 + 1 + 400 + 2 + 223 + 31 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3214002223309) and next prime (3214002223319).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3214002223319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872334 + ... + 2681225.

It is an arithmetic number, because the mean of its divisors is an integer number (150530578380).

Almost surely, 23214002223314 is an apocalyptic number.

3214002223314 is an abundant number, since it is smaller than the sum of its proper divisors (4011465538926).

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

3214002223314 is a wasteful number, since it uses less digits than its factorization.

3214002223314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555437 (or 3555425 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3214002223314 its reverse (4133222004123), we get a palindrome (7347224227437).

It can be divided in two parts, 3214002 and 223314, that added together give a square (3437316 = 18542).

The spelling of 3214002223314 in words is "three trillion, two hundred fourteen billion, two million, two hundred twenty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1861 3722 5583 11166 16749 33498 50247 100494 150741 301482 452223 904446 3553559 7107118 10660677 21321354 31982031 63964062 95946093 191892186 287838279 575676558 863514837 1727029674 6613173299 13226346598 19839519897 39679039794 59518559691 119037119382 178555679073 357111358146 535667037219 1071334074438 1607001111657 3214002223314