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4242443184 = 2432741102653
BaseRepresentation
bin1111110011011110…
…1000101110110000
3101221122220102222100
43330313220232300
532142031140214
61540550140400
7210063113010
oct37467505660
911848812870
104242443184
1118878263a1
129a4951700
13527c19615
142c3623c40
1519c6b5309
hexfcde8bb0

4242443184 has 120 divisors (see below), whose sum is σ = 13900172832. Its totient is φ = 1182551040.

The previous prime is 4242443137. The next prime is 4242443197. The reversal of 4242443184 is 4813442424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9999 + ... + 92654.

Almost surely, 24242443184 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 4242443184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950086416).

4242443184 is an abundant number, since it is smaller than the sum of its proper divisors (9657729648).

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

4242443184 is a wasteful number, since it uses less digits than its factorization.

4242443184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102715 (or 102706 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 4242443184 is about 65134.0401326373. The cubic root of 4242443184 is about 1618.8452859559.

The spelling of 4242443184 in words is "four billion, two hundred forty-two million, four hundred forty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5904 6888 10332 13776 20664 41328 102653 205306 307959 410612 615918 718571 821224 923877 1231836 1437142 1642448 1847754 2155713 2463672 2874284 3695508 4208773 4311426 4927344 5748568 6467139 7391016 8417546 8622852 11497136 12626319 12934278 14782032 16835092 17245704 25252638 25868556 29461411 33670184 34491408 37878957 50505276 51737112 58922822 67340368 75757914 88384233 101010552 103474224 117845644 151515828 176768466 202021104 235691288 265152699 303031656 353536932 471382576 530305398 606063312 707073864 1060610796 1414147728 2121221592 4242443184