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242000505416 = 23175333573877
BaseRepresentation
bin1110000101100001011…
…0101010101001001000
3212010122102122102112002
43201120112222221020
512431104112133131
6303101250410132
723324666233055
oct3413026525110
9763572572462
10242000505416
11936a4a815aa
123aa99590948
1319a88994b47
14b9da23a02c
1564658bd6cb
hex38585aaa48

242000505416 has 32 divisors (see below), whose sum is σ = 489507141240. Its totient is φ = 111733859328.

The previous prime is 242000505413. The next prime is 242000505421. The reversal of 242000505416 is 614505000242.

It can be written as a sum of positive squares in 4 ways, for example, as 231505322500 + 10495182916 = 481150^2 + 102446^2 .

It is not an unprimeable number, because it can be changed into a prime (242000505413) 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, 16779731 + ... + 16794146.

Almost surely, 2242000505416 is an apocalyptic number.

It is an amenable number.

242000505416 is an abundant number, since it is smaller than the sum of its proper divisors (247506635824).

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

242000505416 is a wasteful number, since it uses less digits than its factorization.

242000505416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33573953 (or 33573949 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 242000505416 its reverse (614505000242), we get a palindrome (856505505658).

The spelling of 242000505416 in words is "two hundred forty-two billion, five hundred five thousand, four hundred sixteen".

Divisors: 1 2 4 8 17 34 53 68 106 136 212 424 901 1802 3604 7208 33573877 67147754 134295508 268591016 570755909 1141511818 1779415481 2283023636 3558830962 4566047272 7117661924 14235323848 30250063177 60500126354 121000252708 242000505416