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3144431112 = 23317113241283
BaseRepresentation
bin1011101101101100…
…0011011000001000
322010010210122120120
42323123003120020
522414433243422
61240004023240
7140631136434
oct27333033010
98103718516
103144431112
111373a496a9
12739091b20
133b15b3734
1421b8819c4
151360c345c
hexbb6c3608

3144431112 has 128 divisors (see below), whose sum is σ = 8461791360. Its totient is φ = 970260480.

The previous prime is 3144431107. The next prime is 3144431113. The reversal of 3144431112 is 2111344413.

It is a super-2 number, since 2×31444311122 = 19774894036227113088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (3144431113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11110923 + ... + 11111205.

It is an arithmetic number, because the mean of its divisors is an integer number (66107745).

Almost surely, 23144431112 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 3144431112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230895680).

3144431112 is an abundant number, since it is smaller than the sum of its proper divisors (5317360248).

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

3144431112 is a wasteful number, since it uses less digits than its factorization.

3144431112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 3144431112 is about 56075.2272576759. The cubic root of 3144431112 is about 1465.0328456178.

Adding to 3144431112 its reverse (2111344413), we get a palindrome (5255775525).

The spelling of 3144431112 in words is "three billion, one hundred forty-four million, four hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 113 136 204 226 241 283 339 408 452 482 566 678 723 849 904 964 1132 1356 1446 1698 1921 1928 2264 2712 2892 3396 3842 4097 4811 5763 5784 6792 7684 8194 9622 11526 12291 14433 15368 16388 19244 23052 24582 27233 28866 31979 32776 38488 46104 49164 54466 57732 63958 68203 81699 95937 98328 108932 115464 127916 136406 163398 191874 204609 217864 255832 272812 326796 383748 409218 462961 543643 545624 653592 767496 818436 925922 1087286 1159451 1388883 1630929 1636872 1851844 2174572 2318902 2777766 3261858 3478353 3703688 4349144 4637804 5555532 6523716 6956706 7706939 9275608 11111064 13047432 13913412 15413878 23120817 27826824 30827756 46241634 61655512 92483268 131017963 184966536 262035926 393053889 524071852 786107778 1048143704 1572215556 3144431112