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355239840401 = 2961367354673
BaseRepresentation
bin1010010101101011111…
…00011100101010010001
31020221221021102200002222
411022311330130222101
521310012344343101
6431110034350425
734444113551615
oct5126574345221
91227837380088
10355239840401
111277246a0a66
1258a2112b415
13276643234c4
141329d727345
15939208401b
hex52b5f1ca91

355239840401 has 16 divisors (see below), whose sum is σ = 373622433360. Its totient is φ = 337269381120.

The previous prime is 355239840353. The next prime is 355239840481. The reversal of 355239840401 is 104048932553.

It is a Cunningham number, because it is equal to 5960202+1.

It can be written as a sum of positive squares in 8 ways, for example, as 168961280401 + 186278560000 = 411049^2 + 431600^2 .

It is a cyclic number.

It is not a de Polignac number, because 355239840401 - 234 = 338059971217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (355239840481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6470201 + ... + 6524873.

It is an arithmetic number, because the mean of its divisors is an integer number (23351402085).

Almost surely, 2355239840401 is an apocalyptic number.

It is an amenable number.

355239840401 is a deficient number, since it is larger than the sum of its proper divisors (18382592959).

355239840401 is a wasteful number, since it uses less digits than its factorization.

355239840401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58436.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 355239840401 in words is "three hundred fifty-five billion, two hundred thirty-nine million, eight hundred forty thousand, four hundred one".

Divisors: 1 29 61 1769 3673 54673 106517 224053 1585517 3335053 6497537 96716537 200813929 5823603941 12249649669 355239840401