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14135885742 = 23112371134657
BaseRepresentation
bin11010010101001000…
…00111111110101110
31100111011011101202210
431022210013332232
5212422241320432
610254405031250
71010205021606
oct151244077656
940434141683
1014135885742
115aa4380200
1228a60b5526
131443808644
14981569c06
1557b0258cc
hex34a907fae

14135885742 has 96 divisors (see below), whose sum is σ = 32204815776. Its totient is φ = 4130058240.

The previous prime is 14135885717. The next prime is 14135885801. The reversal of 14135885742 is 24758853141.

It is a junction number, because it is equal to n+sod(n) for n = 14135885691 and 14135885700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3033078 + ... + 3037734.

It is an arithmetic number, because the mean of its divisors is an integer number (335466831).

Almost surely, 214135885742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14135885742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16102407888).

14135885742 is an abundant number, since it is smaller than the sum of its proper divisors (18068930034).

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

14135885742 is a wasteful number, since it uses less digits than its factorization.

14135885742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4823 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 14135885742 in words is "fourteen billion, one hundred thirty-five million, eight hundred eighty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 113 121 222 226 242 339 363 407 678 726 814 1221 1243 2442 2486 3729 4181 4477 4657 7458 8362 8954 9314 12543 13431 13673 13971 25086 26862 27346 27942 41019 45991 51227 82038 91982 102454 137973 153681 172309 275946 307362 344618 505901 516927 526241 563497 1011802 1033854 1052482 1126994 1517703 1578723 1690491 1895399 3035406 3157446 3380982 3790798 5686197 5788651 11372394 11577302 17365953 19470917 20849389 34731906 38941834 41698778 58412751 62548167 63675161 116825502 125096334 127350322 191025483 214180087 382050966 428360174 642540261 1285080522 2355980957 4711961914 7067942871 14135885742