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314647434048 = 2633779560653
BaseRepresentation
bin1001001010000100111…
…00101101001101000000
31010002011022122202212110
410211002130231031000
520123344220342143
6400314054255320
731506154026603
oct4450234551500
91102138582773
10314647434048
111114943012a2
1250b92957540
132389560384c
141132c5cc33a
1582b857e533
hex494272d340

314647434048 has 112 divisors (see below), whose sum is σ = 865829185280. Its totient is φ = 100755892224.

The previous prime is 314647433951. The next prime is 314647434089. The reversal of 314647434048 is 840434746413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 314647433988 and 314647434006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280890 + ... + 841542.

Almost surely, 2314647434048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314647434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432914592640).

314647434048 is an abundant number, since it is smaller than the sum of its proper divisors (551181751232).

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

314647434048 is a wasteful number, since it uses less digits than its factorization.

314647434048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560784 (or 560774 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 314647434048 in words is "three hundred fourteen billion, six hundred forty-seven million, four hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 79 96 111 148 158 192 222 237 296 316 444 474 592 632 888 948 1184 1264 1776 1896 2368 2528 2923 3552 3792 5056 5846 7104 7584 8769 11692 15168 17538 23384 35076 46768 70152 93536 140304 187072 280608 560653 561216 1121306 1681959 2242612 3363918 4485224 6727836 8970448 13455672 17940896 20744161 26911344 35881792 41488322 44291587 53822688 62232483 82976644 88583174 107645376 124464966 132874761 165953288 177166348 248929932 265749522 331906576 354332696 497859864 531499044 663813152 708665392 995719728 1062998088 1327626304 1417330784 1638788719 1991439456 2125996176 2834661568 3277577438 3982878912 4251992352 4916366157 6555154876 8503984704 9832732314 13110309752 19665464628 26220619504 39330929256 52441239008 78661858512 104882478016 157323717024 314647434048