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242005400451 = 32311033839693
BaseRepresentation
bin1110000101100010100…
…1010101101110000011
3212010122202212010020200
43201120221111232003
512431111340303301
6303101543340243
723325055651233
oct3413051255603
9763582763220
10242005400451
11936a7815291
123aa9b151683
1319a899b9c09
14b9dab51cc3
156466038c86
hex3858a55b83

242005400451 has 24 divisors (see below), whose sum is σ = 361189335936. Its totient is φ = 155981185920.

The previous prime is 242005400437. The next prime is 242005400471. The reversal of 242005400451 is 154004500242.

242005400451 is a `hidden beast` number, since 2 + 4 + 200 + 5 + 4 + 0 + 0 + 451 = 666.

It is not a de Polignac number, because 242005400451 - 26 = 242005400387 is a prime.

It is a super-2 number, since 2×2420054004512 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242005400471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131640 + ... + 708053.

It is an arithmetic number, because the mean of its divisors is an integer number (15049555664).

Almost surely, 2242005400451 is an apocalyptic number.

242005400451 is a deficient number, since it is larger than the sum of its proper divisors (119183935485).

242005400451 is a wasteful number, since it uses less digits than its factorization.

242005400451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840763 (or 840760 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 242005400451 its reverse (154004500242), we get a palindrome (396009900693).

The spelling of 242005400451 in words is "two hundred forty-two billion, five million, four hundred thousand, four hundred fifty-one".

Divisors: 1 3 9 31 93 279 1033 3099 9297 32023 96069 288207 839693 2519079 7557237 26030483 78091449 234274347 867402869 2602208607 7806625821 26889488939 80668466817 242005400451