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314432028414 = 23471511836271
BaseRepresentation
bin1001001001101011001…
…10111111111011111110
31010001121022100000220000
410210311212333323332
520122424044402124
6400240441335130
731500630100050
oct4446546777376
91101538300800
10314432028414
11111393756909
1250b327974a6
132385cab43aa
141130bb598d0
1582a46d06c9
hex49359bfefe

314432028414 has 80 divisors (see below), whose sum is σ = 810545150976. Its totient is φ = 89242722000.

The previous prime is 314432028403. The next prime is 314432028419. The reversal of 314432028414 is 414820234413.

314432028414 is a `hidden beast` number, since 3 + 1 + 44 + 320 + 284 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314432028419) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 746902 + ... + 1089369.

Almost surely, 2314432028414 is an apocalyptic number.

314432028414 is an abundant number, since it is smaller than the sum of its proper divisors (496113122562).

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

314432028414 is a wasteful number, since it uses less digits than its factorization.

314432028414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836443 (or 1836434 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 314432028414 in words is "three hundred fourteen billion, four hundred thirty-two million, twenty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 151 162 189 302 378 453 567 906 1057 1134 1359 2114 2718 3171 4077 6342 8154 9513 12231 19026 24462 28539 57078 85617 171234 1836271 3672542 5508813 11017626 12853897 16526439 25707794 33052878 38561691 49579317 77123382 99158634 115685073 148737951 231370146 277276921 297475902 347055219 554553842 694110438 831830763 1041165657 1663661526 1940938447 2082331314 2495492289 3881876894 4990984578 5822815341 7486476867 11645630682 14972953734 17468446023 22459430601 34936892046 44918861202 52405338069 104810676138 157216014207 314432028414