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214304811381 = 32198925575507
BaseRepresentation
bin1100011110010110001…
…1111110100101110101
3202111011021022101200100
43013211203332211311
512002344012431011
6242241131504313
721324446561313
oct3074543764565
9674137271610
10214304811381
118298252a771
123564a2b8099
1317293b21acb
14a52dc610b3
155894216d56
hex31e58fe975

214304811381 has 48 divisors (see below), whose sum is σ = 329693457600. Its totient is φ = 133752985344.

The previous prime is 214304811377. The next prime is 214304811397. The reversal of 214304811381 is 183118403412.

214304811381 is a `hidden beast` number, since 2 + 1 + 43 + 0 + 481 + 138 + 1 = 666.

It is not a de Polignac number, because 214304811381 - 22 = 214304811377 is a prime.

It is a super-2 number, since 2×2143048113812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214304811181) 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, 38912230 + ... + 38917736.

It is an arithmetic number, because the mean of its divisors is an integer number (6868613700).

Almost surely, 2214304811381 is an apocalyptic number.

It is an amenable number.

214304811381 is a deficient number, since it is larger than the sum of its proper divisors (115388646219).

214304811381 is a wasteful number, since it uses less digits than its factorization.

214304811381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 214304811381 in words is "two hundred fourteen billion, three hundred four million, eight hundred eleven thousand, three hundred eighty-one".

Divisors: 1 3 9 19 57 89 171 267 801 1691 2557 5073 5507 7671 15219 16521 23013 48583 49563 104633 145749 227573 313899 437247 490123 682719 941697 1470369 2048157 4323887 4411107 9312337 12971661 14081399 27937011 38914983 42244197 83811033 126732591 267546581 802639743 1253244511 2407919229 3759733533 11279200599 23811645709 71434937127 214304811381