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30138356448 = 253334882357
BaseRepresentation
bin11100000100011000…
…101101001011100000
32212210101122010202000
4130010120231023200
5443210404401243
621502333324000
72114566542264
oct340430551340
985711563660
1030138356448
1111866353302
125a11336600
132ac3c48315
14165c9820a4
15bb5d585d3
hex70462d2e0

30138356448 has 48 divisors (see below), whose sum is σ = 87903542160. Its totient is φ = 10046118528.

The previous prime is 30138356441. The next prime is 30138356489. The reversal of 30138356448 is 84465383103.

30138356448 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 83 + 564 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30138356441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17440315 + ... + 17442042.

It is an arithmetic number, because the mean of its divisors is an integer number (1831323795).

Almost surely, 230138356448 is an apocalyptic number.

It is an amenable number.

30138356448 is an abundant number, since it is smaller than the sum of its proper divisors (57765185712).

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

30138356448 is a wasteful number, since it uses less digits than its factorization.

30138356448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34882376 (or 34882362 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30138356448 in words is "thirty billion, one hundred thirty-eight million, three hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 34882357 69764714 104647071 139529428 209294142 279058856 313941213 418588284 558117712 627882426 837176568 941823639 1116235424 1255764852 1674353136 1883647278 2511529704 3348706272 3767294556 5023059408 7534589112 10046118816 15069178224 30138356448