Search a number
-
+
14000166162333 = 331383480560401
BaseRepresentation
bin1100101110111010101011…
…1011100100111110011101
31211120101212122120212122000
43023232222323210332131
53313334320014143313
645435330524312513
72643323111613621
oct313565273447635
954511778525560
1014000166162333
1145084898a692a
1216a13ab3a2739
137a72964c1560
1436587c563181
1519429a7c1673
hexcbbaaee4f9d

14000166162333 has 32 divisors (see below), whose sum is σ = 22605561310080. Its totient is φ = 8511685804800.

The previous prime is 14000166162313. The next prime is 14000166162371. The reversal of 14000166162333 is 33326166100041.

14000166162333 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 0 + 1 + 6 + 616 + 2 + 3 + 33 = 666.

It is not a de Polignac number, because 14000166162333 - 217 = 14000166031261 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000166162313) 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, 240251068 + ... + 240309333.

It is an arithmetic number, because the mean of its divisors is an integer number (706423790940).

Almost surely, 214000166162333 is an apocalyptic number.

14000166162333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14000166162333 is a deficient number, since it is larger than the sum of its proper divisors (8605395147747).

14000166162333 is a wasteful number, since it uses less digits than its factorization.

14000166162333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480560506 (or 480560500 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 14000166162333 in words is "fourteen trillion, one hundred sixty-six million, one hundred sixty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 83 117 249 351 747 1079 2241 3237 9711 29133 480560401 1441681203 4325043609 6247285213 12975130827 18741855639 39886513283 56225566917 119659539849 168676700751 358978619547 518524672679 1076935858641 1555574018037 4666722054111 14000166162333