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312354055314 = 23274357651173
BaseRepresentation
bin1001000101110011100…
…00001010010010010010
31002212020111021001200100
410202321300022102102
520104200114232224
6355254331233230
731365265443330
oct4427160122222
91085214231610
10312354055314
111105177a2974
12506528a8816
13235bb439402
1411191ba4b50
1581d2069ac9
hex48b9c0a492

312354055314 has 48 divisors (see below), whose sum is σ = 791435316672. Its totient is φ = 87168572064.

The previous prime is 312354055289. The next prime is 312354055333. The reversal of 312354055314 is 413550453213.

312354055314 is a `hidden beast` number, since 3 + 1 + 235 + 405 + 5 + 3 + 14 = 666.

It is a super-2 number, since 2×3123540553142 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28820169 + ... + 28831004.

It is an arithmetic number, because the mean of its divisors is an integer number (16488235764).

Almost surely, 2312354055314 is an apocalyptic number.

312354055314 is an abundant number, since it is smaller than the sum of its proper divisors (479081261358).

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

312354055314 is a wasteful number, since it uses less digits than its factorization.

312354055314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57651231 (or 57651228 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 312354055314 in words is "three hundred twelve billion, three hundred fifty-four million, fifty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 57651173 115302346 172953519 345907038 403558211 518860557 807116422 1037721114 1210674633 2421349266 2479000439 3632023899 4958000878 7264047798 7437001317 14874002634 17353003073 22311003951 34706006146 44622007902 52059009219 104118018438 156177027657 312354055314