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382228300040 = 23566114456441
BaseRepresentation
bin1011000111111101001…
…01010000000100001000
31100112121010222110202012
411203332211100010020
522230300421100130
6451332050555052
736420654641456
oct5437645200410
91315533873665
10382228300040
11138113a02164
12620b3598a88
132a0757c3352
14146ddc039d6
159e215d9995
hex58fe950108

382228300040 has 32 divisors (see below), whose sum is σ = 861314814360. Its totient is φ = 152660006400.

The previous prime is 382228300037. The next prime is 382228300049. The reversal of 382228300040 is 40003822283.

It can be written as a sum of positive squares in 4 ways, for example, as 359810424964 + 22417875076 = 599842^2 + 149726^2 .

It is not an unprimeable number, because it can be changed into a prime (382228300049) 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, 7201781 + ... + 7254660.

Almost surely, 2382228300040 is an apocalyptic number.

It is an amenable number.

382228300040 is an abundant number, since it is smaller than the sum of its proper divisors (479086514320).

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

382228300040 is a wasteful number, since it uses less digits than its factorization.

382228300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14457113 (or 14457109 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 382228300040 in words is "three hundred eighty-two billion, two hundred twenty-eight million, three hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 661 1322 2644 3305 5288 6610 13220 26440 14456441 28912882 57825764 72282205 115651528 144564410 289128820 578257640 9555707501 19111415002 38222830004 47778537505 76445660008 95557075010 191114150020 382228300040