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214112444310340 = 22516649643018933
BaseRepresentation
bin110000101011101111110000…
…001011110110001101000100
31001002002221122101100211010121
4300223233300023312031010
5211031004241220412330
62035213522104231324
763046053653602012
oct6053576013661504
91032087571324117
10214112444310340
116224a639a05634
122002051446b544
139261941c410b4
143ac3151b4b8b2
1519b485196017a
hexc2bbf02f6344

214112444310340 has 24 divisors (see below), whose sum is σ = 449663140546200. Its totient is φ = 85639833439488.

The previous prime is 214112444310329. The next prime is 214112444310341. The reversal of 214112444310340 is 43013444211412.

214112444310340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44848389247236 + 169264055063104 = 6696894^2 + 13010152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214112444310296 and 214112444310305.

It is not an unprimeable number, because it can be changed into a prime (214112444310341) 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, 321176487 + ... + 321842446.

It is an arithmetic number, because the mean of its divisors is an integer number (18735964189425).

Almost surely, 2214112444310340 is an apocalyptic number.

214112444310340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214112444310340 is an abundant number, since it is smaller than the sum of its proper divisors (235550696235860).

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

214112444310340 is a wasteful number, since it uses less digits than its factorization.

214112444310340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643035591 (or 643035589 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 214112444310340 its reverse (43013444211412), we get a palindrome (257125888521752).

The spelling of 214112444310340 in words is "two hundred fourteen trillion, one hundred twelve billion, four hundred forty-four million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 16649 33298 66596 83245 166490 332980 643018933 1286037866 2572075732 3215094665 6430189330 12860378660 10705622215517 21411244431034 42822488862068 53528111077585 107056222155170 214112444310340