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14020424040132 = 223253151431112909
BaseRepresentation
bin1100110000000110001001…
…1001001111111011000100
31211122100011110100200201100
43030001202121033323010
53314202312023241012
645452521025100100
72644641115003056
oct314014231177304
954570143320640
1014020424040132
11451603494a2a4
1216a5303787630
137a91744394b3
14366840bb58d6
15194a83eca8dc
hexcc06264fec4

14020424040132 has 144 divisors (see below), whose sum is σ = 36432996687360. Its totient is φ = 4544321184000.

The previous prime is 14020424040121. The next prime is 14020424040143. The reversal of 14020424040132 is 23104042402041.

14020424040132 is a `hidden beast` number, since 1 + 4 + 0 + 204 + 24 + 0 + 401 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (14020424040121) and next prime (14020424040143).

It is a super-2 number, since 2×140204240401322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14020424040096 and 14020424040105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124118094 + ... + 124231002.

It is an arithmetic number, because the mean of its divisors is an integer number (253006921440).

Almost surely, 214020424040132 is an apocalyptic number.

14020424040132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14020424040132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216498343680).

14020424040132 is an abundant number, since it is smaller than the sum of its proper divisors (22412572647228).

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

14020424040132 is a wasteful number, since it uses less digits than its factorization.

14020424040132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113554 (or 113549 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14020424040132 its reverse (23104042402041), we get a palindrome (37124466442173).

The spelling of 14020424040132 in words is "fourteen trillion, twenty billion, four hundred twenty-four million, forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 151 159 212 302 318 431 453 477 604 636 862 906 954 1293 1359 1724 1812 1908 2586 2718 3879 5172 5436 7758 8003 15516 16006 22843 24009 32012 45686 48018 65081 68529 72027 91372 96036 112909 130162 137058 144054 195243 205587 225818 260324 274116 288108 338727 390486 411174 451636 585729 677454 780972 822348 1016181 1171458 1354908 2032362 2342916 3449293 4064724 5984177 6898586 10347879 11968354 13797172 17049259 17952531 20695758 23936708 31043637 34098518 35905062 41391516 48663779 51147777 53857593 62087274 68197036 71810124 97327558 102295554 107715186 124174548 145991337 153443331 194655116 204591108 215430372 291982674 306886662 437974011 583965348 613773324 875948022 903610727 1751896044 1807221454 2579180287 2710832181 3614442908 5158360574 5421664362 7348230629 7737540861 8132496543 10316721148 10843328724 14696461258 15475081722 16264993086 22044691887 23212622583 29392922516 30950163444 32529986172 44089383774 46425245166 66134075661 88178767548 92850490332 132268151322 264536302644 389456223337 778912446674 1168368670011 1557824893348 2336737340022 3505106010033 4673474680044 7010212020066 14020424040132