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14013431212144 = 2471329378969813
BaseRepresentation
bin1100101111101100000110…
…0101101110100001110000
31211121200010010010020002011
43023323001211232201300
53314044001342242034
645445403104332304
72644302613644340
oct313730145564160
954550103106064
1014013431212144
114513076654111
1216a3a91914094
137a85cb774b60
1436637a1a4d20
151947c512b864
hexcbec196e870

14013431212144 has 160 divisors (see below), whose sum is σ = 35503241397120. Its totient is φ = 5207944605696.

The previous prime is 14013431212141. The next prime is 14013431212177. The reversal of 14013431212144 is 44121213431041.

14013431212144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013431212141) 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, 2922619 + ... + 6047194.

It is an arithmetic number, because the mean of its divisors is an integer number (221895258732).

Almost surely, 214013431212144 is an apocalyptic number.

14013431212144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14013431212144 is an abundant number, since it is smaller than the sum of its proper divisors (21489810184976).

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

14013431212144 is a wasteful number, since it uses less digits than its factorization.

14013431212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969907 (or 8969901 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 14013431212144 its reverse (44121213431041), we get a palindrome (58134644643185).

The spelling of 14013431212144 in words is "fourteen trillion, thirteen billion, four hundred thirty-one million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 37 52 56 58 74 91 104 112 116 148 182 203 208 232 259 296 364 377 406 464 481 518 592 728 754 812 962 1036 1073 1456 1508 1624 1924 2072 2146 2639 3016 3248 3367 3848 4144 4292 5278 6032 6734 7511 7696 8584 10556 13468 13949 15022 17168 21112 26936 27898 30044 42224 53872 55796 60088 97643 111592 120176 195286 223184 390572 781144 1562288 8969813 17939626 35879252 62788691 71758504 116607569 125577382 143517008 233215138 251154764 260124577 331883081 466430276 502309528 520249154 663766162 816252983 932860552 1004619056 1040498308 1327532324 1632505966 1820872039 1865721104 2080996616 2323181567 2655064648 3265011932 3381619501 3641744078 4161993232 4314480053 4646363134 5310129296 6530023864 6763239002 7283488156 8628960106 9292726268 9624609349 13060047728 13526478004 14566976312 17257920212 18585452536 19249218698 23671336507 27052956008 29133952624 30201360371 34515840424 37170905072 38498437396 47342673014 54105912016 60402720742 67372265443 69031680848 76996874792 94685346028 120805441484 125119921537 134744530886 153993749584 189370692056 241610882968 250239843074 269489061772 378741384112 483221765936 500479686148 538978123544 875839450759 1000959372296 1077956247088 1751678901518 2001918744592 3503357803036 7006715606072 14013431212144