Search a number
-
+
314350812630 = 2345388087423
BaseRepresentation
bin1001001001100001100…
…01001011110111010110
31010001101122111211210000
410210300301023313112
520122242302001010
6400224420512130
731465622551251
oct4446061136726
91101348454700
10314350812630
11111351925228
1250b0b54b646
132384901980a
1411301058098
15829c4db7c0
hex4930c4bdd6

314350812630 has 40 divisors (see below), whose sum is σ = 845254409472. Its totient is φ = 83826883152.

The previous prime is 314350812577. The next prime is 314350812637. The reversal of 314350812630 is 36218053413.

314350812630 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 5 + 0 + 8 + 12 + 630 = 666.

It is a super-2 number, since 2×3143508126302 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314350812637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194042902 + ... + 194044521.

Almost surely, 2314350812630 is an apocalyptic number.

314350812630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314350812630 is an abundant number, since it is smaller than the sum of its proper divisors (530903596842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314350812630 is a wasteful number, since it uses less digits than its factorization.

314350812630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388087442 (or 388087433 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 314350812630 in words is "three hundred fourteen billion, three hundred fifty million, eight hundred twelve thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 388087423 776174846 1164262269 1940437115 2328524538 3492786807 3880874230 5821311345 6985573614 10478360421 11642622690 17463934035 20956720842 31435081263 34927868070 52391802105 62870162526 104783604210 157175406315 314350812630