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14246408070 = 23251049915077
BaseRepresentation
bin11010100010010011…
…01110111110000110
31100202212010111220100
431101021232332012
5213134040024240
610313353544530
71013016320256
oct152111567606
940685114810
1014246408070
1160507a9274
122917115146
13146069467b
149920d9966
15585aa7e30
hex35126ef86

14246408070 has 48 divisors (see below), whose sum is σ = 37046646000. Its totient is φ = 3798428352.

The previous prime is 14246407979. The next prime is 14246408087. The reversal of 14246408070 is 7080464241.

14246408070 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 640 + 8 + 0 + 7 + 0 = 666.

It is a super-2 number, since 2×142464080702 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937372 + ... + 952448.

It is an arithmetic number, because the mean of its divisors is an integer number (771805125).

Almost surely, 214246408070 is an apocalyptic number.

14246408070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14246408070 is an abundant number, since it is smaller than the sum of its proper divisors (22800237930).

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

14246408070 is a wasteful number, since it uses less digits than its factorization.

14246408070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25589 (or 25586 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 14246408070 in words is "fourteen billion, two hundred forty-six million, four hundred eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10499 15077 20998 30154 31497 45231 52495 62994 75385 90462 94491 104990 135693 150770 157485 188982 226155 271386 314970 452310 472455 678465 944910 1356930 158293423 316586846 474880269 791467115 949760538 1424640807 1582934230 2374401345 2849281614 4748802690 7123204035 14246408070