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231408140401 = 172282972
BaseRepresentation
bin1101011110000100000…
…0000000000001110001
3211010022020020112100201
43113201000000001301
512242410440443101
6254150223315201
722501336511314
oct3274100000161
9733266215321
10231408140401
118a159953a29
1238a2214bb01
1318a8b353039
14b2b355a97b
1560459eee01
hex35e1000071

231408140401 has 9 divisors (see below), whose sum is σ = 245829791649. Its totient is φ = 217788200064.

The previous prime is 231408140357. The next prime is 231408140429. The reversal of 231408140401 is 104041804132.

The square root of 231408140401 is 481049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7224830001 + 224183310400 = 84999^2 + 473480^2 .

It is not a de Polignac number, because 231408140401 - 29 = 231408139889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 231408140401.

It is not an unprimeable number, because it can be changed into a prime (231408140441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8163685 + ... + 8191981.

Almost surely, 2231408140401 is an apocalyptic number.

231408140401 is the 481049-th square number.

231408140401 is the 240525-th centered octagonal number.

It is an amenable number.

231408140401 is a deficient number, since it is larger than the sum of its proper divisors (14421651248).

231408140401 is an frugal number, since it uses more digits than its factorization.

231408140401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56628 (or 28314 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 231408140401 its reverse (104041804132), we get a palindrome (335449944533).

The spelling of 231408140401 in words is "two hundred thirty-one billion, four hundred eight million, one hundred forty thousand, four hundred one".

Divisors: 1 17 289 28297 481049 8177833 800720209 13612243553 231408140401