Search a number
-
+
4242042422244 = 22321113997657061
BaseRepresentation
bin111101101110101101011…
…011101000001111100100
3120000112110020012201112100
4331232231123220033210
51024000200330002434
613004433431052100
7615322523436534
oct75565533501744
916015406181470
104242042422244
1113960493a2980
12586177511030
1324a03b378723
1410945cd6b4c4
157552a3a8699
hex3dbad6e83e4

4242042422244 has 72 divisors (see below), whose sum is σ = 11706116385600. Its totient is φ = 1284548385600.

The previous prime is 4242042422231. The next prime is 4242042422249. The reversal of 4242042422244 is 4422242402424.

4242042422244 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 0 + 424 + 2 + 224 + 4 = 666.

It is a super-3 number, since 3×42420424222443 (a number of 39 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4242042422199 and 4242042422208.

It is not an unprimeable number, because it can be changed into a prime (4242042422249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3274527 + ... + 4382534.

It is an arithmetic number, because the mean of its divisors is an integer number (162584949800).

Almost surely, 24242042422244 is an apocalyptic number.

4242042422244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4242042422244 is an abundant number, since it is smaller than the sum of its proper divisors (7464073963356).

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

4242042422244 is a wasteful number, since it uses less digits than its factorization.

4242042422244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658481 (or 7658476 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4242042422244 its reverse (4422242402424), we get a palindrome (8664284824668).

The spelling of 4242042422244 in words is "four trillion, two hundred forty-two billion, forty-two million, four hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1399 2798 4197 5596 8394 12591 15389 16788 25182 30778 46167 50364 61556 92334 138501 184668 277002 554004 7657061 15314122 22971183 30628244 45942366 68913549 84227671 91884732 137827098 168455342 252683013 275654196 336910684 505366026 758049039 1010732052 1516098078 3032196156 10712228339 21424456678 32136685017 42848913356 64273370034 96410055051 117834511729 128546740068 192820110102 235669023458 353503535187 385640220204 471338046916 707007070374 1060510605561 1414014140748 2121021211122 4242042422244