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314071383384 = 2332112579153763
BaseRepresentation
bin1001001001000000001…
…11001111110101011000
31010000200011201100220200
410210200013033311120
520121204233232014
6400140555422200
731455660465603
oct4444007176530
91100604640820
10314071383384
11111219120970
1250a51a54960
1323803171b75
14112b5cbb33a
158282be2a09
hex49201cfd58

314071383384 has 96 divisors (see below), whose sum is σ = 928304020800. Its totient is φ = 95135624640.

The previous prime is 314071383343. The next prime is 314071383407. The reversal of 314071383384 is 483383170413.

314071383384 is a `hidden beast` number, since 3 + 1 + 407 + 138 + 33 + 84 = 666.

It is a super-2 number, since 2×3140713833842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1965687 + ... + 2119449.

It is an arithmetic number, because the mean of its divisors is an integer number (9669833550).

Almost surely, 2314071383384 is an apocalyptic number.

It is an amenable number.

314071383384 is an abundant number, since it is smaller than the sum of its proper divisors (614232637416).

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

314071383384 is a wasteful number, since it uses less digits than its factorization.

314071383384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156365 (or 156358 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 314071383384 in words is "three hundred fourteen billion, seventy-one million, three hundred eighty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2579 5158 7737 10316 15474 20632 23211 28369 30948 46422 56738 61896 85107 92844 113476 153763 170214 185688 226952 255321 307526 340428 461289 510642 615052 680856 922578 1021284 1230104 1383867 1691393 1845156 2042568 2767734 3382786 3690312 5074179 5535468 6765572 10148358 11070936 13531144 15222537 20296716 30445074 40593432 60890148 121780296 396554777 793109554 1189664331 1586219108 2379328662 3172438216 3568992993 4362102547 4758657324 7137985986 8724205094 9517314648 13086307641 14275971972 17448410188 26172615282 28551943944 34896820376 39258922923 52345230564 78517845846 104690461128 157035691692 314071383384