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14001312132432 = 243332410444751
BaseRepresentation
bin1100101110111110111100…
…1111000110110101010000
31211120111211111221012002000
43023233233033012311100
53313344141401214212
645440040342354000
72643363365321412
oct313575717066520
954514744835060
1014001312132432
114508a1775a159
1216a166b12b900
137a7419a49281
1436594a82a9b2
151943161d81dc
hexcbbef3c6d50

14001312132432 has 40 divisors (see below), whose sum is σ = 40188951492480. Its totient is φ = 4667104044000.

The previous prime is 14001312132419. The next prime is 14001312132461. The reversal of 14001312132432 is 23423121310041.

14001312132432 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 13 + 1 + 213 + 2 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14001312132396 and 14001312132405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16205221944 + ... + 16205222807.

It is an arithmetic number, because the mean of its divisors is an integer number (1004723787312).

Almost surely, 214001312132432 is an apocalyptic number.

14001312132432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14001312132432 is an abundant number, since it is smaller than the sum of its proper divisors (26187639360048).

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

14001312132432 is a wasteful number, since it uses less digits than its factorization.

14001312132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32410444768 (or 32410444756 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14001312132432 its reverse (23423121310041), we get a palindrome (37424433442473).

The spelling of 14001312132432 in words is "fourteen trillion, one billion, three hundred twelve million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 32410444751 64820889502 97231334253 129641779004 194462668506 259283558008 291694002759 388925337012 518567116016 583388005518 777850674024 875082008277 1166776011036 1555701348048 1750164016554 2333552022072 3500328033108 4667104044144 7000656066216 14001312132432