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42042420222 = 231123271102199
BaseRepresentation
bin100111001001111011…
…000110101111111110
311000112000020020022220
4213021323012233332
51142100324421342
631151454550210
73015564450465
oct471173065776
9130460206286
1042042420222
1116914939640
128193b08366
133c7025cc3a
14206b9499dc
151160e785ec
hex9c9ec6bfe

42042420222 has 64 divisors (see below), whose sum is σ = 96071270400. Its totient is φ = 12141122400.

The previous prime is 42042420209. The next prime is 42042420223. The reversal of 42042420222 is 22202424024.

It is a junction number, because it is equal to n+sod(n) for n = 42042420192 and 42042420201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42042420223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360279 + ... + 462477.

It is an arithmetic number, because the mean of its divisors is an integer number (1501113600).

Almost surely, 242042420222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42042420222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48035635200).

42042420222 is an abundant number, since it is smaller than the sum of its proper divisors (54028850178).

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

42042420222 is a wasteful number, since it uses less digits than its factorization.

42042420222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102509.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42042420222 its reverse (22202424024), we get a palindrome (64244844246).

It can be divided in two parts, 42042 and 420222, that added together give a palindrome (462264).

The spelling of 42042420222 in words is "forty-two billion, forty-two million, four hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 271 506 542 759 813 1518 1626 2981 5962 6233 8943 12466 17886 18699 37398 68563 102199 137126 204398 205689 306597 411378 613194 1124189 2248378 2350577 3372567 4701154 6745134 7051731 14103462 25856347 27695929 51712694 55391858 77569041 83087787 155138082 166175574 304655219 609310438 637006367 913965657 1274012734 1827931314 1911019101 3822038202 7007070037 14014140074 21021210111 42042420222