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3144131430 = 2351118115261
BaseRepresentation
bin1011101101100111…
…1010001101100110
322010010020102111020
42323121322031212
522414344201210
61235553352010
7140625450636
oct27331721546
98103212436
103144131430
111373864530
12738b68606
133b150a1cb
1421b8046c6
15136064770
hexbb67a366

3144131430 has 64 divisors (see below), whose sum is σ = 8238018816. Its totient is φ = 761648000.

The previous prime is 3144131413. The next prime is 3144131443. The reversal of 3144131430 is 341314413.

It is a super-2 number, since 2×31441314302 = 19771124898227689800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3144131430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595000 + ... + 600260.

It is an arithmetic number, because the mean of its divisors is an integer number (128719044).

Almost surely, 23144131430 is an apocalyptic number.

3144131430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3144131430 is an abundant number, since it is smaller than the sum of its proper divisors (5093887386).

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

3144131430 is a wasteful number, since it uses less digits than its factorization.

3144131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7093.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3144131430 is about 56072.5550514688. Note that the first 3 decimals coincide. The cubic root of 3144131430 is about 1464.9863021779.

Adding to 3144131430 its reverse (341314413), we get a palindrome (3485445843).

The spelling of 3144131430 in words is "three billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1811 3622 5261 5433 9055 10522 10866 15783 18110 19921 26305 27165 31566 39842 52610 54330 57871 59763 78915 99605 115742 119526 157830 173613 199210 289355 298815 347226 578710 597630 868065 1736130 9527671 19055342 28583013 47638355 57166026 95276710 104804381 142915065 209608762 285830130 314413143 524021905 628826286 1048043810 1572065715 3144131430