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14144305456 = 2417257202339
BaseRepresentation
bin11010010110001000…
…01111100100110000
31100111202000011110001
431023010033210300
5212431420233311
610255305315344
71010336420101
oct151304174460
940452004401
1014144305456
115aa9101046
1228a8a95b54
131445495b18
1498271c3a8
1557bb3a4c1
hex34b10f930

14144305456 has 40 divisors (see below), whose sum is σ = 29129675760. Its totient is φ = 6630211584.

The previous prime is 14144305433. The next prime is 14144305471. The reversal of 14144305456 is 65450344141.

It is a super-2 number, since 2×141443054562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31266 + ... + 171073.

It is an arithmetic number, because the mean of its divisors is an integer number (728241894).

Almost surely, 214144305456 is an apocalyptic number.

14144305456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14144305456 is an abundant number, since it is smaller than the sum of its proper divisors (14985370304).

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

14144305456 is a wasteful number, since it uses less digits than its factorization.

14144305456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202621 (or 202615 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 14144305456 its reverse (65450344141), we get a palindrome (79594649597).

It can be divided in two parts, 14144 and 305456, that added together give a triangular number (319600 = T799).

The spelling of 14144305456 in words is "fourteen billion, one hundred forty-four million, three hundred five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 257 272 514 1028 2056 4112 4369 8738 17476 34952 69904 202339 404678 809356 1618712 3237424 3439763 6879526 13759052 27518104 52001123 55036208 104002246 208004492 416008984 832017968 884019091 1768038182 3536076364 7072152728 14144305456