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314423417945 = 57136712838039
BaseRepresentation
bin1001001001101010001…
…10001001110001011001
31010001120201010120112202
410210311012021301121
520122414343333240
6400235533015545
731500463645460
oct4446506116131
91101521116482
10314423417945
1111138990571a
1250b2b9245b5
132385b08b140
141130a9579d7
1582a3a7e315
hex4935189c59

314423417945 has 64 divisors (see below), whose sum is σ = 471736258560. Its totient is φ = 195872041728.

The previous prime is 314423417927. The next prime is 314423417989. The reversal of 314423417945 is 549714324413.

It is a cyclic number.

It is not a de Polignac number, because 314423417945 - 228 = 314154982489 is a prime.

It is a super-2 number, since 2×3144234179452 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314423417945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39108236 + ... + 39116274.

It is an arithmetic number, because the mean of its divisors is an integer number (7370879040).

Almost surely, 2314423417945 is an apocalyptic number.

314423417945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314423417945 is a deficient number, since it is larger than the sum of its proper divisors (157312840615).

314423417945 is a wasteful number, since it uses less digits than its factorization.

314423417945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414.

The product of its digits is 1451520, while the sum is 47.

The spelling of 314423417945 in words is "three hundred fourteen billion, four hundred twenty-three million, four hundred seventeen thousand, nine hundred forty-five".

Divisors: 1 5 7 13 35 65 67 91 335 455 469 871 1283 2345 4355 6097 6415 8039 8981 16679 30485 40195 44905 56273 83395 85961 104507 116753 281365 429805 522535 538613 583765 601727 731549 1117493 2693065 3008635 3657745 3770291 5587465 7001969 7822451 10314037 18851455 35009845 39112255 49013783 51570185 72198259 134082481 245068915 360991295 670412405 691040479 938577367 3455202395 4692886835 4837283353 8983526227 24186416765 44917631135 62884683589 314423417945