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14004040400232 = 233113139307121007
BaseRepresentation
bin1100101111001001000111…
…0110100111110101101000
31211120202212122122112220120
43023302101312213311220
53313420233320301412
645441211202523240
72643521114240061
oct313622166476550
954522778575816
1014004040400232
11450a0977a3133
1216a20b0966520
137a776304c40c
14365b28cdb568
151944259a3b8c
hexcbc91da7d68

14004040400232 has 128 divisors (see below), whose sum is σ = 35690196326400. Its totient is φ = 4578417865728.

The previous prime is 14004040400219. The next prime is 14004040400243. The reversal of 14004040400232 is 23200404040041.

It is a happy number.

It is a super-2 number, since 2×140040404002322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115668673 + ... + 115789679.

It is an arithmetic number, because the mean of its divisors is an integer number (278829658800).

Almost surely, 214004040400232 is an apocalyptic number.

14004040400232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14004040400232 is an abundant number, since it is smaller than the sum of its proper divisors (21686155926168).

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

14004040400232 is a wasteful number, since it uses less digits than its factorization.

14004040400232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121575 (or 121571 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14004040400232 its reverse (23200404040041), we get a palindrome (37204444440273).

The spelling of 14004040400232 in words is "fourteen trillion, four billion, forty million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 113 139 226 278 307 339 417 452 556 614 678 834 904 921 1112 1228 1356 1668 1842 2456 2712 3336 3684 7368 15707 31414 34691 42673 47121 62828 69382 85346 94242 104073 121007 125656 128019 138764 170692 188484 208146 242014 256038 277528 341384 363021 376968 416292 484028 512076 726042 832584 968056 1024152 1452084 2904168 4822049 9644098 13673791 14466147 16819973 19288196 27347582 28932294 33639946 37149149 38576392 41021373 50459919 54695164 57864588 67279892 74298298 82042746 100919838 109390328 111447447 115729176 134559784 148596596 164085492 201839676 222894894 297193192 328170984 403679352 445789788 891579576 1900656949 3801313898 4197853837 5163731711 5701970847 7602627796 8395707674 10327463422 11403941694 12593561511 15205255592 15491195133 16791415348 20654926844 22807883388 25187123022 30982390266 33582830696 41309853688 45615766776 50374246044 61964780532 100748492088 123929561064 583501683343 1167003366686 1750505050029 2334006733372 3501010100058 4668013466744 7002020200116 14004040400232