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14246504160031 = 11132919973172001
BaseRepresentation
bin1100111101010000010111…
…0100011101101100011111
31212102221201100222201222101
43033110011310131230133
53331403320031110111
650144430442425531
73000163440215053
oct317240564355437
955387640881871
1014246504160031
1145a29aa2135a0
1217210995022a7
137c45939a1b80
1437376a885c63
1519a8b6d7cbc1
hexcf505d1db1f

14246504160031 has 32 divisors (see below), whose sum is σ = 17315262457920. Its totient is φ = 11542218240000.

The previous prime is 14246504159983. The next prime is 14246504160101. The reversal of 14246504160031 is 13006140564241.

It is a cyclic number.

It is not a de Polignac number, because 14246504160031 - 215 = 14246504127263 is a prime.

It is a super-2 number, since 2×142465041600312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14246504110031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82742031 + ... + 82914031.

It is an arithmetic number, because the mean of its divisors is an integer number (541101951810).

Almost surely, 214246504160031 is an apocalyptic number.

14246504160031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14246504160031 is a deficient number, since it is larger than the sum of its proper divisors (3068758297889).

14246504160031 is a wasteful number, since it uses less digits than its factorization.

14246504160031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192027.

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

The spelling of 14246504160031 in words is "fourteen trillion, two hundred forty-six billion, five hundred four million, one hundred sixty thousand, thirty-one".

Divisors: 1 11 13 29 143 319 377 4147 19973 172001 219703 259649 579217 1892011 2236013 2856139 4988029 6371387 7529821 24596143 54868319 64844377 82828031 713288147 3435375973 37789135703 44659887649 99625903217 491258764139 1095884935387 1295136741821 14246504160031