Search a number
-
+
254149930314 = 23376710035139
BaseRepresentation
bin1110110010110010000…
…1000010110101001010
3220022000010221011022000
43230230201002311022
513130444340232224
6312431015011430
724235033522650
oct3545441026512
9808003834260
10254149930314
119886a012325
124130a369b76
131ac73a86867
14c42da32dd0
1569273080c9
hex3b2c842d4a

254149930314 has 64 divisors (see below), whose sum is σ = 655093939200. Its totient is φ = 71530463664.

The previous prime is 254149930303. The next prime is 254149930343. The reversal of 254149930314 is 413039941452.

254149930314 is a `hidden beast` number, since 2 + 541 + 4 + 9 + 93 + 0 + 3 + 14 = 666.

It is a super-2 number, since 2×2541499303142 (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 254149930314.

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 31 ways as a sum of consecutive naturals, for example, 4992244 + ... + 5042895.

It is an arithmetic number, because the mean of its divisors is an integer number (10235842800).

Almost surely, 2254149930314 is an apocalyptic number.

254149930314 is an abundant number, since it is smaller than the sum of its proper divisors (400944008886).

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

254149930314 is a wasteful number, since it uses less digits than its factorization.

254149930314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035224 (or 10035218 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 254149930314 in words is "two hundred fifty-four billion, one hundred forty-nine million, nine hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 126 134 189 201 378 402 469 603 938 1206 1407 1809 2814 3618 4221 8442 12663 25326 10035139 20070278 30105417 60210834 70245973 90316251 140491946 180632502 210737919 270948753 421475838 541897506 632213757 672354313 1264427514 1344708626 1896641271 2017062939 3793282542 4034125878 4706480191 6051188817 9412960382 12102377634 14119440573 18153566451 28238881146 36307132902 42358321719 84716643438 127074965157 254149930314