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3143463312 = 2431122726227
BaseRepresentation
bin1011101101011101…
…0111000110010000
322010001222111000010
42323113113012100
522414211311222
61235531154520
7140616666033
oct27327270620
98101874003
103143463312
111373448570
127388a5a40
133b1335082
1421b6ad01a
15135e8180c
hexbb5d7190

3143463312 has 80 divisors (see below), whose sum is σ = 8898216192. Its totient is φ = 948332160.

The previous prime is 3143463307. The next prime is 3143463329. The reversal of 3143463312 is 2133643413.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3143463312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106743 + ... + 132969.

Almost surely, 23143463312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143463312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449108096).

3143463312 is an abundant number, since it is smaller than the sum of its proper divisors (5754752880).

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

3143463312 is a wasteful number, since it uses less digits than its factorization.

3143463312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26476 (or 26470 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 3143463312 is about 56066.5971145030. The cubic root of 3143463312 is about 1464.8825265059.

The spelling of 3143463312 in words is "three billion, one hundred forty-three million, four hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 227 264 454 528 681 908 1362 1816 2497 2724 3632 4994 5448 7491 9988 10896 14982 19976 26227 29964 39952 52454 59928 78681 104908 119856 157362 209816 288497 314724 419632 576994 629448 865491 1153988 1258896 1730982 2307976 3461964 4615952 5953529 6923928 11907058 13847856 17860587 23814116 35721174 47628232 65488819 71442348 95256464 130977638 142884696 196466457 261955276 285769392 392932914 523910552 785865828 1047821104 1571731656 3143463312