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213444310304 = 2585722133517
BaseRepresentation
bin1100011011001001000…
…1011011010100100000
3202101221022010102010002
43012302101123110200
511444113220412204
6242015512155132
721264230462651
oct3066221332440
9671838112102
10213444310304
1182580826555
123544a098aa8
1317187777b84
14a48b867528
1558438dd91e
hex31b245b520

213444310304 has 48 divisors (see below), whose sum is σ = 421018606008. Its totient is φ = 106519160832.

The previous prime is 213444310301. The next prime is 213444310309. The reversal of 213444310304 is 403013444312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 163581420304 + 49862890000 = 404452^2 + 223300^2 .

It is not an unprimeable number, because it can be changed into a prime (213444310301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60687554 + ... + 60691070.

Almost surely, 2213444310304 is an apocalyptic number.

It is an amenable number.

213444310304 is a deficient number, since it is larger than the sum of its proper divisors (207574295704).

213444310304 is a wasteful number, since it uses less digits than its factorization.

213444310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 213444310304 its reverse (403013444312), we get a palindrome (616457754616).

The spelling of 213444310304 in words is "two hundred thirteen billion, four hundred forty-four million, three hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 857 1714 2213 3428 3517 4426 6856 7034 8852 13712 14068 17704 27424 28136 35408 56272 70816 112544 1896541 3014069 3793082 6028138 7586164 7783121 12056276 15172328 15566242 24112552 30344656 31132484 48225104 60689312 62264968 96450208 124529936 249059872 6670134697 13340269394 26680538788 53361077576 106722155152 213444310304