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282139824428 = 2271137314271721
BaseRepresentation
bin1000001101100001101…
…10000001000100101100
3222222020210212002202222
410012300312001010230
514110310243340203
6333340243334512
726245454636540
oct4066066010454
9888223762688
10282139824428
11a9722637020
1246820081438
13207b4876797
14d927111a20
157514725038
hex41b0d8112c

282139824428 has 96 divisors (see below), whose sum is σ = 618019573248. Its totient is φ = 109489420800.

The previous prime is 282139824409. The next prime is 282139824431. The reversal of 282139824428 is 824428931282.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 282139824428.

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, 163938608 + ... + 163940328.

It is an arithmetic number, because the mean of its divisors is an integer number (6437703888).

Almost surely, 2282139824428 is an apocalyptic number.

282139824428 is a gapful number since it is divisible by the number (28) 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 282139824428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309009786624).

282139824428 is an abundant number, since it is smaller than the sum of its proper divisors (335879748820).

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

282139824428 is a wasteful number, since it uses less digits than its factorization.

282139824428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3541 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 53.

The spelling of 282139824428 in words is "two hundred eighty-two billion, one hundred thirty-nine million, eight hundred twenty-four thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 373 746 1427 1492 1721 2611 2854 3442 4103 5222 5708 6884 8206 9989 10444 12047 15697 16412 18931 19978 24094 28721 31394 37862 39956 48188 57442 62788 75724 109879 114884 132517 219758 265034 439516 530068 532271 641933 1064542 1283866 2129084 2455867 2567732 3725897 4493531 4911734 5854981 7061263 7451794 8987062 9823468 11709962 14122526 14903588 17191069 17974124 23419924 27014537 28245052 34382138 40984867 49428841 54029074 68764276 81969734 98857682 108058148 163939468 189101759 197715364 378203518 756407036 916038391 1832076782 3664153564 6412268737 10076422301 12824537474 20152844602 25649074948 40305689204 70534956107 141069912214 282139824428