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242005010005 = 51122931374397
BaseRepresentation
bin1110000101100010011…
…1110110011001010101
3212010122202010021122201
43201120213312121111
512431111240310010
6303101531124501
723325052434013
oct3413047663125
9763582107581
10242005010005
11936a7578a00
123aa9aba3731
1319a898b1295
14b9daa8d8b3
156465ead23a
hex38589f6655

242005010005 has 48 divisors (see below), whose sum is σ = 330394120560. Its totient is φ = 169841745920.

The previous prime is 242005009973. The next prime is 242005010047. The reversal of 242005010005 is 500010500242.

It can be written as a sum of positive squares in 8 ways, for example, as 21944570769 + 220060439236 = 148137^2 + 469106^2 .

It is not a de Polignac number, because 242005010005 - 25 = 242005009973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55036467 + ... + 55040863.

It is an arithmetic number, because the mean of its divisors is an integer number (6883210845).

Almost surely, 2242005010005 is an apocalyptic number.

It is an amenable number.

242005010005 is a deficient number, since it is larger than the sum of its proper divisors (88389110555).

242005010005 is a wasteful number, since it uses less digits than its factorization.

242005010005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 242005010005 its reverse (500010500242), we get a palindrome (742015510247).

The spelling of 242005010005 in words is "two hundred forty-two billion, five million, ten thousand, five".

Divisors: 1 5 11 29 55 121 145 319 605 1595 3137 3509 4397 15685 17545 21985 34507 48367 90973 127513 172535 241835 379577 454865 532037 637565 1000703 1402643 1897885 2660185 5003515 7013215 11007733 13793389 15429073 55038665 68966945 77145365 151727279 400008281 758636395 1669000069 2000041405 4400091091 8345000345 22000455455 48401002001 242005010005