Search a number
-
+
14166312544 = 2529313713309
BaseRepresentation
bin11010011000110000…
…01100011001100000
31100120021102020111101
431030120030121200
5213003034000134
610301413124144
71011024445516
oct151430143140
940507366441
1014166312544
11600a57231a
1228b4329654
131449bcc977
1498560a4b6
1557da35e14
hex34c60c660

14166312544 has 96 divisors (see below), whose sum is σ = 30589574400. Its totient is φ = 6438942720.

The previous prime is 14166312533. The next prime is 14166312553. The reversal of 14166312544 is 44521366141.

It is a super-2 number, since 2×141663125442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057762 + ... + 1071070.

It is an arithmetic number, because the mean of its divisors is an integer number (318641400).

Almost surely, 214166312544 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 14166312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294787200).

14166312544 is an abundant number, since it is smaller than the sum of its proper divisors (16423261856).

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

14166312544 is a wasteful number, since it uses less digits than its factorization.

14166312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13416 (or 13408 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

Adding to 14166312544 its reverse (44521366141), we get a palindrome (58687678685).

The spelling of 14166312544 in words is "fourteen billion, one hundred sixty-six million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 31 32 37 58 62 74 116 124 148 232 248 296 464 496 592 899 928 992 1073 1147 1184 1798 2146 2294 3596 4292 4588 7192 8584 9176 13309 14384 17168 18352 26618 28768 33263 34336 36704 53236 66526 106472 133052 212944 266104 385961 412579 425888 492433 532208 771922 825158 984866 1064416 1543844 1650316 1969732 3087688 3300632 3939464 6175376 6601264 7878928 11964791 12350752 13202528 14280557 15265423 15757856 23929582 28561114 30530846 47859164 57122228 61061692 95718328 114244456 122123384 191436656 228488912 244246768 382873312 442697267 456977824 488493536 885394534 1770789068 3541578136 7083156272 14166312544