Search a number
-
+
42096000336 = 24313431568873
BaseRepresentation
bin100111001101000111…
…011111110101010000
311000122202001101102120
4213031013133311100
51142203034002321
631201051214240
73020115045645
oct471507376520
9130582041376
1042096000336
1116942105125
1281a9a47380
133c7b39ca50
142074ad5dcc
151165a0dec6
hex9cd1dfd50

42096000336 has 80 divisors (see below), whose sum is σ = 119836871616. Its totient is φ = 12651383808.

The previous prime is 42096000313. The next prime is 42096000377. The reversal of 42096000336 is 63300069024.

It is a super-2 number, since 2×420960003362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42096000297 and 42096000306.

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, 757605 + ... + 811268.

Almost surely, 242096000336 is an apocalyptic number.

It is an amenable number.

42096000336 is an abundant number, since it is smaller than the sum of its proper divisors (77740871280).

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

42096000336 is a wasteful number, since it uses less digits than its factorization.

42096000336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568940 (or 1568934 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 42096000336 in words is "forty-two billion, ninety-six million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8944 13416 26832 1568873 3137746 4706619 6275492 9413238 12550984 18826476 20395349 25101968 37652952 40790698 61186047 67461539 75305904 81581396 122372094 134923078 163162792 202384617 244744188 269846156 326325584 404769234 489488376 539692312 809538468 877000007 978976752 1079384624 1619076936 1754000014 2631000021 3238153872 3508000028 5262000042 7016000056 10524000084 14032000112 21048000168 42096000336