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314212514 = 271153137281
BaseRepresentation
bin10010101110101…
…000000010100010
3210220020122112112
4102232220002202
51120414300024
651102355322
710533522320
oct2256500242
9726218475
10314212514
11151401570
128928bb42
1350135b85
142da32d10
151c8ba00e
hex12ba80a2

314212514 has 64 divisors (see below), whose sum is σ = 605221632. Its totient is φ = 118809600.

The previous prime is 314212501. The next prime is 314212523. The reversal of 314212514 is 415212413.

It is a super-3 number, since 3×3142125143 (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314212514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118054 + ... + 1118334.

It is an arithmetic number, because the mean of its divisors is an integer number (9456588).

Almost surely, 2314212514 is an apocalyptic number.

314212514 is a deficient number, since it is larger than the sum of its proper divisors (291009118).

314212514 is a wasteful number, since it uses less digits than its factorization.

314212514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491.

The product of its digits is 960, while the sum is 23.

The square root of 314212514 is about 17726.0405618401. The cubic root of 314212514 is about 679.8417408522.

Adding to 314212514 its reverse (415212413), we get a palindrome (729424927).

The spelling of 314212514 in words is "three hundred fourteen million, two hundred twelve thousand, five hundred fourteen".

Divisors: 1 2 7 11 14 22 53 77 106 137 154 274 281 371 562 583 742 959 1166 1507 1918 1967 3014 3091 3934 4081 6182 7261 8162 10549 14522 14893 21098 21637 29786 38497 43274 50827 76994 79871 101654 104251 159742 163823 208502 269479 327646 423467 538958 559097 846934 1118194 1146761 2040341 2293522 2964269 4080682 5928538 14282387 22443751 28564774 44887502 157106257 314212514