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280428826340 = 2251314917334177
BaseRepresentation
bin1000001010010101101…
…11000100111011100100
3222210211120022101122102
410011022313010323210
514043304234420330
6332454402551232
726155200460115
oct4051267047344
9883746271572
10280428826340
11a8a24841913
1246423068518
13205a1249290
14d803ba620c
1574643ec945
hex414adc4ee4

280428826340 has 96 divisors (see below), whose sum is σ = 638978306400. Its totient is φ = 102764077056.

The previous prime is 280428826303. The next prime is 280428826361. The reversal of 280428826340 is 43628824082.

It can be written as a sum of positive squares in 16 ways, for example, as 103234975204 + 177193851136 = 321302^2 + 420944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67134332 + ... + 67138508.

It is an arithmetic number, because the mean of its divisors is an integer number (6656024025).

Almost surely, 2280428826340 is an apocalyptic number.

280428826340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280428826340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319489153200).

280428826340 is an abundant number, since it is smaller than the sum of its proper divisors (358549480060).

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

280428826340 is a wasteful number, since it uses less digits than its factorization.

280428826340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 47.

The spelling of 280428826340 in words is "two hundred eighty billion, four hundred twenty-eight million, eight hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1490 1733 1937 2980 3466 3874 4177 6932 7748 8354 8665 9685 16708 17330 19370 20885 22529 34660 38740 41770 45058 54301 83540 90116 108602 112645 217204 225290 258217 271505 450580 516434 543010 622373 1032868 1086020 1244746 1291085 2489492 2582170 3111865 3356821 5164340 6223730 6713642 7238741 8090849 12447460 13427284 14477482 16181698 16784105 28954964 32363396 33568210 36193705 40454245 67136420 72387410 80908490 94103633 144774820 161816980 188207266 376414532 470518165 941036330 1078572409 1882072660 2157144818 4314289636 5392862045 10785724090 14021441317 21571448180 28042882634 56085765268 70107206585 140214413170 280428826340