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14001424323432 = 23371317377112269
BaseRepresentation
bin1100101110111111010111…
…1011000101001101101000
31211120112010100001002012020
43023233311323011031220
53313344404111322212
645440055431144440
72643366230040030
oct313576573051550
954515110032166
1014001424323432
114508a75017997
1216a16a0815120
137a743706a990
1436595b6b28c0
15194320e99d8c
hexcbbf5ec5368

14001424323432 has 128 divisors (see below), whose sum is σ = 45615500179200. Its totient is φ = 3475466661888.

The previous prime is 14001424323431. The next prime is 14001424323461. The reversal of 14001424323432 is 23432342410041.

It is a junction number, because it is equal to n+sod(n) for n = 14001424323393 and 14001424323402.

It is not an unprimeable number, because it can be changed into a prime (14001424323431) 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, 188519007 + ... + 188593262.

It is an arithmetic number, because the mean of its divisors is an integer number (356371095150).

Almost surely, 214001424323432 is an apocalyptic number.

14001424323432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14001424323432 is an abundant number, since it is smaller than the sum of its proper divisors (31614075855768).

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

14001424323432 is a wasteful number, since it uses less digits than its factorization.

14001424323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377112315 (or 377112311 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 14001424323432 its reverse (23432342410041), we get a palindrome (37433766733473).

The spelling of 14001424323432 in words is "fourteen trillion, one billion, four hundred twenty-four million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1092 1326 1428 1547 1768 2184 2652 2856 3094 4641 5304 6188 9282 12376 18564 37128 377112269 754224538 1131336807 1508449076 2262673614 2639785883 3016898152 4525347228 4902459497 5279571766 6410908573 7919357649 9050694456 9804918994 10559143532 12821817146 14707378491 15838715298 19232725719 19609837988 21118287064 25643634292 29414756982 31677430596 34317216479 38465451438 39219675976 44876360011 51287268584 58829513964 63354861192 68634432958 76930902876 83341811449 89752720022 102951649437 117659027928 134629080033 137268865916 153861805752 166683622898 179505440044 205903298874 250025434347 269258160066 274537731832 333367245796 359010880088 411806597748 500050868694 538516320132 583392680143 666734491592 823613195496 1000101737388 1077032640264 1166785360286 1750178040429 2000203474776 2333570720572 3500356080858 4667141441144 7000712161716 14001424323432