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6042283104 = 2531121340013
BaseRepresentation
bin1011010000010010…
…11110110001100000
3120121002121210012010
411220021132301200
544333311024404
62435323032520
7302506362504
oct55011366140
916532553163
106042283104
112620790800
12120766b740
13753a81860
14414698304
152556db189
hex16825ec60

6042283104 has 144 divisors (see below), whose sum is σ = 18775529136. Its totient is φ = 1690106880.

The previous prime is 6042283099. The next prime is 6042283127. The reversal of 6042283104 is 4013822406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131002 + ... + 171014.

It is an arithmetic number, because the mean of its divisors is an integer number (130385619).

Almost surely, 26042283104 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 6042283104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387764568).

6042283104 is an abundant number, since it is smaller than the sum of its proper divisors (12733246032).

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

6042283104 is a wasteful number, since it uses less digits than its factorization.

6042283104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40061 (or 40042 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6042283104 is about 77732.1240157504. The cubic root of 6042283104 is about 1821.3791325947.

The spelling of 6042283104 in words is "six billion, forty-two million, two hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1452 1573 1716 1936 2288 2904 3146 3432 3872 4576 4719 5808 6292 6864 9438 11616 12584 13728 18876 25168 37752 40013 50336 75504 80026 120039 151008 160052 240078 320104 440143 480156 520169 640208 880286 960312 1040338 1280416 1320429 1560507 1760572 1920624 2080676 2640858 3121014 3521144 3841248 4161352 4841573 5281716 5721859 6242028 7042288 8322704 9683146 10563432 11443718 12484056 14084576 14524719 16645408 17165577 19366292 21126864 22887436 24968112 29049438 34331154 38732584 42253728 45774872 49936224 58098876 62940449 68662308 77465168 91549744 116197752 125880898 137324616 154930336 183099488 188821347 232395504 251761796 274649232 377642694 464791008 503523592 549298464 755285388 1007047184 1510570776 2014094368 3021141552 6042283104