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284313211314 = 231147787116461
BaseRepresentation
bin1000010001100100110…
…00110101000110110010
31000011212021110121002120
410020302120311012302
514124233140230224
6334340042455110
726353355264466
oct4106230650662
91004767417076
10284313211314
11aa638439830
1247127b04496
1320a6cc1a922
14da91a224a6
1575e0436779
hex42326351b2

284313211314 has 64 divisors (see below), whose sum is σ = 634328451072. Its totient is φ = 84214555200.

The previous prime is 284313211297. The next prime is 284313211319. The reversal of 284313211314 is 413112313482.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (284313211319) 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, 2383044 + ... + 2499504.

It is an arithmetic number, because the mean of its divisors is an integer number (9911382048).

Almost surely, 2284313211314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284313211314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317164225536).

284313211314 is an abundant number, since it is smaller than the sum of its proper divisors (350015239758).

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

284313211314 is a wasteful number, since it uses less digits than its factorization.

284313211314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117311.

The product of its digits is 13824, while the sum is 33.

Adding to 284313211314 its reverse (413112313482), we get a palindrome (697425524796).

The spelling of 284313211314 in words is "two hundred eighty-four billion, three hundred thirteen million, two hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 787 1034 1551 1574 2361 3102 4722 8657 17314 25971 36989 51942 73978 110967 116461 221934 232922 349383 406879 698766 813758 1220637 1281071 2441274 2562142 3843213 5473667 7686426 10947334 16421001 32842002 60210337 91654807 120420674 180631011 183309614 274964421 361262022 549928842 1008202877 2016405754 3024608631 4307775929 6049217262 8615551858 12923327787 25846655574 47385535219 94771070438 142156605657 284313211314