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214311142304 = 2571078941553
BaseRepresentation
bin1100011110010111110…
…0001000001110100000
3202111011201020001001222
43013211330020032200
512002402123023204
6242241515314212
721324554436650
oct3074574101640
9674151201058
10214311142304
1182986064236
123565044b968
131729522a60c
14a530a2c360
155894a67abe
hex31e5f083a0

214311142304 has 48 divisors (see below), whose sum is σ = 486706667328. Its totient is φ = 90989233152.

The previous prime is 214311142261. The next prime is 214311142373. The reversal of 214311142304 is 403241113412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4446809 + ... + 4494744.

It is an arithmetic number, because the mean of its divisors is an integer number (10139722236).

Almost surely, 2214311142304 is an apocalyptic number.

It is an amenable number.

214311142304 is an abundant number, since it is smaller than the sum of its proper divisors (272395525024).

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

214311142304 is a wasteful number, since it uses less digits than its factorization.

214311142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8941677 (or 8941669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 214311142304 its reverse (403241113412), we get a palindrome (617552255716).

The spelling of 214311142304 in words is "two hundred fourteen billion, three hundred eleven million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3424 5992 11984 23968 8941553 17883106 35766212 62590871 71532424 125181742 143064848 250363484 286129696 500726968 956746171 1001453936 1913492342 2002907872 3826984684 6697223197 7653969368 13394446394 15307938736 26788892788 30615877472 53577785576 107155571152 214311142304