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3144854241 = 36312672
BaseRepresentation
bin1011101101110010…
…1010101011100001
322010011121011000000
42323130222223201
522420040313431
61240021050213
7140634551154
oct27334525341
98104534000
103144854241
1113742085a1
12739256969
133b17011c9
1421b951c9b
151361589e6
hexbb72aae1

3144854241 has 63 divisors (see below), whose sum is σ = 4945935393. Its totient is φ = 1998655560.

The previous prime is 3144854231. The next prime is 3144854243. The reversal of 3144854241 is 1424584413.

The square root of 3144854241 is 56079.

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

3144854241 is a `hidden beast` number, since 31 + 4 + 48 + 542 + 41 = 666.

It is not a de Polignac number, because 3144854241 - 29 = 3144853729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3144854196 and 3144854205.

It is not an unprimeable number, because it can be changed into a prime (3144854243) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 46938090 + ... + 46938156.

It is an arithmetic number, because the mean of its divisors is an integer number (78506911).

Almost surely, 23144854241 is an apocalyptic number.

3144854241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3144854241 is the 56079-th square number.

3144854241 is the 28040-th centered octagonal number.

It is an amenable number.

3144854241 is a deficient number, since it is larger than the sum of its proper divisors (1801081152).

3144854241 is an frugal number, since it uses more digits than its factorization.

3144854241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 101 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The cubic root of 3144854241 is about 1465.0985565056.

Multiplying 3144854241 by its sum of digits (36), we get a square (113214752676 = 3364742).

The spelling of 3144854241 in words is "three billion, one hundred forty-four million, eight hundred fifty-four thousand, two hundred forty-one".

Divisors: 1 3 9 27 31 67 81 93 201 243 279 603 729 837 961 1809 2077 2511 2883 4489 5427 6231 7533 8649 13467 16281 18693 22599 25947 40401 48843 56079 64387 77841 121203 139159 168237 193161 233523 363609 417477 504711 579483 700569 1090827 1252431 1514133 1738449 3272481 3757293 4313929 5215347 11271879 12941787 15646041 33815637 38825361 46938123 101446911 116476083 349428249 1048284747 3144854241