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30142184383584 = 25337132316668317
BaseRepresentation
bin1101101101010000001100…
…01100010110010001100000
310221201120020122200211012000
412312220012030112101200
512422322143200233314
6144035043420004000
76230462266613610
oct666500614262140
9127646218624160
1030142184383584
119671257308989
123469910690600
1313a851b7257c0
14762c64b4ca40
15374102680209
hex1b6a06316460

30142184383584 has 384 divisors, whose sum is σ = 112907185735680. Its totient is φ = 7603952412672.

The previous prime is 30142184383583. The next prime is 30142184383601. The reversal of 30142184383584 is 48538348124103.

30142184383584 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 2 + 18 + 43 + 8 + 3 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30142184383584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30142184383583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6525807 + ... + 10142510.

It is an arithmetic number, because the mean of its divisors is an integer number (294029129520).

Almost surely, 230142184383584 is an apocalyptic number.

It is an amenable number.

30142184383584 is an abundant number, since it is smaller than the sum of its proper divisors (82765001352096).

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

30142184383584 is a wasteful number, since it uses less digits than its factorization.

30142184383584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16668379 (or 16668365 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 30142184383584 in words is "thirty trillion, one hundred forty-two billion, one hundred eighty-four million, three hundred eighty-three thousand, five hundred eighty-four".