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210314012240 = 24510369253537
BaseRepresentation
bin1100001111011110110…
…0010010011001010000
3202002212010220210102202
43003313230102121100
511421210341342430
6240341131102332
721123530415353
oct3036754223120
9662763823382
10210314012240
1181214860262
12349158a19a8
1316aa90a22b7
14a271c2429a
15570dbacd45
hex30f7b12650

210314012240 has 40 divisors (see below), whose sum is σ = 489029165160. Its totient is φ = 84117159936.

The previous prime is 210314012219. The next prime is 210314012243. The reversal of 210314012240 is 42210413012.

It can be written as a sum of positive squares in 4 ways, for example, as 10530043456 + 199783968784 = 102616^2 + 446972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210314012243) 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, 702752 + ... + 956288.

It is an arithmetic number, because the mean of its divisors is an integer number (12225729129).

Almost surely, 2210314012240 is an apocalyptic number.

210314012240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210314012240 is an abundant number, since it is smaller than the sum of its proper divisors (278715152920).

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

210314012240 is a wasteful number, since it uses less digits than its factorization.

210314012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263919 (or 263913 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 210314012240 its reverse (42210413012), we get a palindrome (252524425252).

The spelling of 210314012240 in words is "two hundred ten billion, three hundred fourteen million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10369 20738 41476 51845 82952 103690 165904 207380 253537 414760 507074 829520 1014148 1267685 2028296 2535370 4056592 5070740 10141480 20282960 2628925153 5257850306 10515700612 13144625765 21031401224 26289251530 42062802448 52578503060 105157006120 210314012240