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314304230020 = 22511313786183
BaseRepresentation
bin1001001001011011111…
…11011111001010000100
31010001021101212012110011
410210231333133022010
520122143340330040
6400220034240004
731464515606014
oct4445577371204
91101241765404
10314304230020
111113285a9000
1250ab7a26004
132383c489a41
14112d8badc44
1582983893ea
hex492dfdf284

314304230020 has 96 divisors (see below), whose sum is σ = 731300887296. Its totient is φ = 113456879360.

The previous prime is 314304229991. The next prime is 314304230027. The reversal of 314304230020 is 20032403413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 314304229973 and 314304230000.

It is not an unprimeable number, because it can be changed into a prime (314304230027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3603849 + ... + 3690031.

It is an arithmetic number, because the mean of its divisors is an integer number (7617717576).

Almost surely, 2314304230020 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 314304230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365650443648).

314304230020 is an abundant number, since it is smaller than the sum of its proper divisors (416996657276).

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

314304230020 is a wasteful number, since it uses less digits than its factorization.

314304230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86362 (or 86338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 314304230020 its reverse (20032403413), we get a palindrome (334336633433).

The spelling of 314304230020 in words is "three hundred fourteen billion, three hundred four million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 137 220 242 274 484 548 605 685 1210 1331 1370 1507 2420 2662 2740 3014 5324 6028 6655 7535 13310 15070 16577 26620 30140 33154 66308 82885 86183 165770 172366 182347 331540 344732 364694 430915 729388 861830 911735 948013 1723660 1823470 1896026 3646940 3792052 4740065 9480130 10428143 11807071 18960260 20856286 23614142 41712572 47228284 52140715 59035355 104281430 114709573 118070710 129877781 208562860 229419146 236141420 259755562 458838292 519511124 573547865 649388905 1147095730 1298777810 1428655591 2294191460 2597555620 2857311182 5714622364 7143277955 14286555910 15715211501 28573111820 31430423002 62860846004 78576057505 157152115010 314304230020