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14322412224029 = 721336769188661
BaseRepresentation
bin1101000001101011001001…
…0010101111111000011101
31212201012122112101221001002
43100122302102233320131
53334124300012132104
650243343024000045
73005521504135100
oct320326222577035
955635575357032
1014322412224029
114622112352588
121733942a60025
137cb7a0136080
143772cbdb8737
1519c85aeb601e
hexd06b24afe1d

14322412224029 has 48 divisors (see below), whose sum is σ = 18017491597056. Its totient is φ = 11284658985600.

The previous prime is 14322412223963. The next prime is 14322412224031. The reversal of 14322412224029 is 92042221422341.

It is not a de Polignac number, because 14322412224029 - 240 = 13222900596253 is a prime.

It is a super-3 number, since 3×143224122240293 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14322412223983 and 14322412224001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322412224229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161496959 + ... + 161585619.

It is an arithmetic number, because the mean of its divisors is an integer number (375364408272).

Almost surely, 214322412224029 is an apocalyptic number.

It is an amenable number.

14322412224029 is a deficient number, since it is larger than the sum of its proper divisors (3695079373027).

14322412224029 is a wasteful number, since it uses less digits than its factorization.

14322412224029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89746 (or 89739 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 14322412224029 in words is "fourteen trillion, three hundred twenty-two billion, four hundred twelve million, two hundred twenty-four thousand, twenty-nine".

Divisors: 1 7 13 49 91 367 637 691 2569 4771 4837 8983 17983 33397 33859 62881 88661 233779 253597 440167 620627 1152593 1775179 3296761 4344389 8068151 12426253 23077327 32538587 56477057 61264751 161541289 227770109 423001631 428853257 796441763 1594390763 2961011417 3001972799 5575092341 20727079919 22484163617 39025646387 157389145319 292294127021 1101724017233 2046058889147 14322412224029