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14457131312 = 2413193658181
BaseRepresentation
bin11010111011011011…
…00101000100110000
31101022112122100211212
431131231211010300
5214102011200222
610350322255252
71021155405611
oct153555450460
941275570755
1014457131312
116149745808
1229757b7528
131495234790
149b20adc08
1559932e6e2
hex35db65130

14457131312 has 40 divisors (see below), whose sum is σ = 31753019760. Its totient is φ = 6321335040.

The previous prime is 14457131287. The next prime is 14457131357. The reversal of 14457131312 is 21313175441.

14457131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1825139 + ... + 1833042.

It is an arithmetic number, because the mean of its divisors is an integer number (793825494).

Almost surely, 214457131312 is an apocalyptic number.

It is an amenable number.

14457131312 is an abundant number, since it is smaller than the sum of its proper divisors (17295888448).

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

14457131312 is a wasteful number, since it uses less digits than its factorization.

14457131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658221 (or 3658215 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The spelling of 14457131312 in words is "fourteen billion, four hundred fifty-seven million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 3658181 7316362 14632724 29265448 47556353 58530896 69505439 95112706 139010878 190225412 278021756 380450824 556043512 760901648 903570707 1112087024 1807141414 3614282828 7228565656 14457131312