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14001320140431 = 3133117964697821
BaseRepresentation
bin1100101110111110111110…
…1101101001111010001111
31211120111212002000000222120
43023233233231221322033
53313344200423443211
645440041230144023
72643363523353351
oct313575755517217
954514762000876
1014001320140431
114508a21229738
1216a1671952013
137a741b5c1230
1436594b9130d1
15194316c6ad06
hexcbbefb69e8f

14001320140431 has 32 divisors (see below), whose sum is σ = 20868929464320. Its totient is φ = 8291672611200.

The previous prime is 14001320140349. The next prime is 14001320140481. The reversal of 14001320140431 is 13404102310041.

It is not a de Polignac number, because 14001320140431 - 214 = 14001320124047 is a prime.

It is a super-2 number, since 2×140013201404312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001320140481) 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, 32132500 + ... + 32565321.

It is an arithmetic number, because the mean of its divisors is an integer number (652154045760).

Almost surely, 214001320140431 is an apocalyptic number.

14001320140431 is a deficient number, since it is larger than the sum of its proper divisors (6867609323889).

14001320140431 is a wasteful number, since it uses less digits than its factorization.

14001320140431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64698047.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14001320140431 its reverse (13404102310041), we get a palindrome (27405422450472).

The spelling of 14001320140431 in words is "fourteen trillion, one billion, three hundred twenty million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 13 31 39 93 179 403 537 1209 2327 5549 6981 16647 72137 216411 64697821 194093463 841071673 2005632451 2523215019 6016897353 11580909959 26073221863 34742729877 78219665589 150551829467 359008208729 451655488401 1077024626187 4667106713477 14001320140431