Search a number
-
+
12143314064 = 247317731783
BaseRepresentation
bin10110100111100110…
…00100010010010000
31011100021210021021202
423103303010102100
5144332142022224
65324545210332
7606631316000
oct132363042220
934307707252
1012143314064
115171647652
12242a9309a8
1311b6a6244b
14832a86000
154b112deae
hex2d3cc4490

12143314064 has 160 divisors (see below), whose sum is σ = 29465971200. Its totient is φ = 4828336128.

The previous prime is 12143314021. The next prime is 12143314147. The reversal of 12143314064 is 46041334121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6809717 + ... + 6811499.

It is an arithmetic number, because the mean of its divisors is an integer number (184162320).

Almost surely, 212143314064 is an apocalyptic number.

12143314064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12143314064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732985600).

12143314064 is an abundant number, since it is smaller than the sum of its proper divisors (17322657136).

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

12143314064 is a wasteful number, since it uses less digits than its factorization.

12143314064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 12143314064 its reverse (46041334121), we get a palindrome (58184648185).

The spelling of 12143314064 in words is "twelve billion, one hundred forty-three million, three hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 73 98 112 119 136 146 196 238 272 292 343 392 476 511 584 686 784 833 952 1022 1168 1241 1372 1666 1783 1904 2044 2482 2744 3332 3566 3577 4088 4964 5488 5831 6664 7132 7154 8176 8687 9928 11662 12481 13328 14264 14308 17374 19856 23324 24962 25039 28528 28616 30311 34748 46648 49924 50078 57232 60622 60809 69496 87367 93296 99848 100156 121244 121618 130159 138992 174734 199696 200312 212177 242488 243236 260318 349468 400624 424354 425663 484976 486472 520636 611569 698936 848708 851326 911113 972944 1041272 1223138 1397872 1485239 1697416 1702652 1822226 2082544 2212703 2446276 2970478 3394832 3405304 3644452 4425406 4892552 5940956 6377791 6810608 7288904 8850812 9785104 10396673 11881912 12755582 14577808 15488921 17701624 20793346 23763824 25511164 30977842 35403248 41586692 44644537 51022328 61955684 83173384 89289074 102044656 108422447 123911368 166346768 178578148 216844894 247822736 357156296 433689788 714312592 758957129 867379576 1517914258 1734759152 3035828516 6071657032 12143314064