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214256017341 = 3229820904281
BaseRepresentation
bin1100011110001010100…
…1110101111110111101
3202111000212111101211200
43013202221311332331
512002244020023331
6242232230010113
721323315045532
oct3074251657675
9674025441750
10214256017341
1182957a33013
1235635aa6939
13172869995b2
14a52759cd89
15588ecc95e6
hex31e2a75fbd

214256017341 has 12 divisors (see below), whose sum is σ = 320152669980. Its totient is φ = 137911919040.

The previous prime is 214256017333. The next prime is 214256017357. The reversal of 214256017341 is 143710652412.

214256017341 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 5 + 601 + 7 + 3 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78663420900 + 135592596441 = 280470^2 + 368229^2 .

It is not a de Polignac number, because 214256017341 - 23 = 214256017333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214256017296 and 214256017305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214256017301) 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, 410451880 + ... + 410452401.

It is an arithmetic number, because the mean of its divisors is an integer number (26679389165).

Almost surely, 2214256017341 is an apocalyptic number.

It is an amenable number.

214256017341 is a deficient number, since it is larger than the sum of its proper divisors (105896652639).

214256017341 is a wasteful number, since it uses less digits than its factorization.

214256017341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820904316 (or 820904313 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 214256017341 its reverse (143710652412), we get a palindrome (357966669753).

The spelling of 214256017341 in words is "two hundred fourteen billion, two hundred fifty-six million, seventeen thousand, three hundred forty-one".

Divisors: 1 3 9 29 87 261 820904281 2462712843 7388138529 23806224149 71418672447 214256017341