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242031202432 = 272381794149
BaseRepresentation
bin1110000101101000101…
…1110001000010000000
3212010201120101222220121
43201122023301002000
512431134441434212
6303104304350024
723325521163535
oct3413213610200
9763646358817
10242031202432
1193710338738
123aaa7915314
1319a92152166
14ba0034ad8c
156468433d07
hex385a2f1080

242031202432 has 32 divisors (see below), whose sum is σ = 482374651500. Its totient is φ = 120964623360.

The previous prime is 242031202417. The next prime is 242031202447. The reversal of 242031202432 is 234202130242.

It is an interprime number because it is at equal distance from previous prime (242031202417) and next prime (242031202447).

It can be written as a sum of positive squares in 2 ways, for example, as 232115822656 + 9915379776 = 481784^2 + 99576^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 242031202397 and 242031202406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92307 + ... + 701842.

Almost surely, 2242031202432 is an apocalyptic number.

It is an amenable number.

242031202432 is a deficient number, since it is larger than the sum of its proper divisors (240343449068).

242031202432 is an equidigital number, since it uses as much as digits as its factorization.

242031202432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796544 (or 796532 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 242031202432 its reverse (234202130242), we get a palindrome (476233332674).

The spelling of 242031202432 in words is "two hundred forty-two billion, thirty-one million, two hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 2381 4762 9524 19048 38096 76192 152384 304768 794149 1588298 3176596 6353192 12706384 25412768 50825536 101651072 1890868769 3781737538 7563475076 15126950152 30253900304 60507800608 121015601216 242031202432