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34454145454011 = 321371153228710597
BaseRepresentation
bin1111101010101111110110…
…00110011100111110111011
311111222210011122011212212200
413311113323012130332323
514003444042214012021
6201140003234241243
710154141562150003
oct765277306347673
9144883148155780
1034454145454011
11aa83a14989018
123a4553b726223
13162c0204040aa
14871837997003
153eb370e2a126
hex1f55fb19cfbb

34454145454011 has 48 divisors (see below), whose sum is σ = 50200516189824. Its totient is φ = 22769883758592.

The previous prime is 34454145454009. The next prime is 34454145454049. The reversal of 34454145454011 is 11045454145443.

34454145454011 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 41 + 4 + 54 + 540 + 11 = 666.

It is not a de Polignac number, because 34454145454011 - 21 = 34454145454009 is a prime.

It is a super-2 number, since 2×344541454540112 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34454145454061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3251305965 + ... + 3251316561.

It is an arithmetic number, because the mean of its divisors is an integer number (1045844087288).

Almost surely, 234454145454011 is an apocalyptic number.

34454145454011 is a deficient number, since it is larger than the sum of its proper divisors (15746370735813).

34454145454011 is a wasteful number, since it uses less digits than its factorization.

34454145454011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14180 (or 14177 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 34454145454011 its reverse (11045454145443), we get a palindrome (45499599599454).

The spelling of 34454145454011 in words is "thirty-four trillion, four hundred fifty-four billion, one hundred forty-five million, four hundred fifty-four thousand, eleven".

Divisors: 1 3 9 137 411 1153 1233 2287 3459 6861 10377 10597 20583 31791 95373 157961 313319 473883 939957 1421649 1451789 2636911 2819871 4355367 7910733 12218341 13066101 23732199 24235339 36655023 72706017 109965069 218118051 361256807 1083770421 1673912717 3251311263 3320241443 5021738151 9960724329 15065214453 27943345867 29882172987 83830037601 251490112803 3828238383779 11484715151337 34454145454011