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314506115455001 is a prime number
BaseRepresentation
bin100011110000010101010100…
…1010010101001100000011001
31112020120111020221101120000112
41013200222221102221200121
5312210332011024030001
63032522040450014105
7123150213505420061
oct10740525122514031
91466514227346015
10314506115455001
1191236327020448
122b335485877335
1310664a51467852
14579426a38c3a1
15265605c1d1cbb
hex11e0aa94a9819

314506115455001 has 2 divisors, whose sum is σ = 314506115455002. Its totient is φ = 314506115455000.

The previous prime is 314506115454983. The next prime is 314506115455009. The reversal of 314506115455001 is 100554511605413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282888886128601 + 31617229326400 = 16819301^2 + 5622920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314506115455001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314506115455001.

It is not a weakly prime, because it can be changed into another prime (314506115455009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157253057727500 + 157253057727501.

It is an arithmetic number, because the mean of its divisors is an integer number (157253057727501).

Almost surely, 2314506115455001 is an apocalyptic number.

It is an amenable number.

314506115455001 is a deficient number, since it is larger than the sum of its proper divisors (1).

314506115455001 is an equidigital number, since it uses as much as digits as its factorization.

314506115455001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180000, while the sum is 41.

The spelling of 314506115455001 in words is "three hundred fourteen trillion, five hundred six billion, one hundred fifteen million, four hundred fifty-five thousand, one".