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212657140440 = 23325590714279
BaseRepresentation
bin1100011000001101011…
…0100111001011011000
3202022220102221001001200
43012003112213023120
511441010211443230
6241405432314200
721235561604043
oct3060326471330
9668812831050
10212657140440
1182207459148
123526a542960
1317090667aa4
14a4150bbc5a
1557e974d160
hex31835a72d8

212657140440 has 48 divisors (see below), whose sum is σ = 691135707600. Its totient is φ = 56708570688.

The previous prime is 212657140417. The next prime is 212657140441. The reversal of 212657140440 is 44041756212.

212657140440 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 571 + 40 + 4 + 40 = 666.

212657140440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212657140395 and 212657140404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212657140441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295356780 + ... + 295357499.

It is an arithmetic number, because the mean of its divisors is an integer number (14398660575).

Almost surely, 2212657140440 is an apocalyptic number.

212657140440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212657140440 is an abundant number, since it is smaller than the sum of its proper divisors (478478567160).

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

212657140440 is a wasteful number, since it uses less digits than its factorization.

212657140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590714296 (or 590714289 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 212657140440 its reverse (44041756212), we get a palindrome (256698896652).

The spelling of 212657140440 in words is "two hundred twelve billion, six hundred fifty-seven million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 590714279 1181428558 1772142837 2362857116 2953571395 3544285674 4725714232 5316428511 5907142790 7088571348 8860714185 10632857022 11814285580 14177142696 17721428370 21265714044 23628571160 26582142555 35442856740 42531428088 53164285110 70885713480 106328570220 212657140440