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314214123040311 = 31323499177122527
BaseRepresentation
bin100011101110001101010110…
…1001011111110111000110111
31112012112120120111011000021010
41013130122231023332320313
5312141041010444242221
63032135550403123303
7123120135613016244
oct10734325513767067
91465476514130233
10314214123040311
1191133508a0254a
122b2a8976073533
1310643359606800
14578408a92a5cb
15264d66ca1ac76
hex11dc6ad2fee37

314214123040311 has 24 divisors (see below), whose sum is σ = 453787916736000. Its totient is φ = 193307273935776.

The previous prime is 314214123040289. The next prime is 314214123040399. The reversal of 314214123040311 is 113040321412413.

It is not a de Polignac number, because 314214123040311 - 26 = 314214123040247 is a prime.

It is a super-2 number, since 2×3142141230403112 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314214123047311) 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, 86787271 + ... + 90335256.

It is an arithmetic number, because the mean of its divisors is an integer number (18907829864000).

Almost surely, 2314214123040311 is an apocalyptic number.

314214123040311 is a deficient number, since it is larger than the sum of its proper divisors (139573793695689).

314214123040311 is a wasteful number, since it uses less digits than its factorization.

314214123040311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177126055 (or 177126042 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 314214123040311 its reverse (113040321412413), we get a palindrome (427254444452724).

The spelling of 314214123040311 in words is "three hundred fourteen trillion, two hundred fourteen billion, one hundred twenty-three million, forty thousand, three hundred eleven".

Divisors: 1 3 13 39 169 507 3499 10497 45487 136461 591331 1773993 177122527 531367581 2302592851 6907778553 29933707063 89801121189 619751721973 1859255165919 8056772385649 24170317156947 104738041013437 314214123040311