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422142244212 = 2231353373136883
BaseRepresentation
bin1100010010010011010…
…00110111010101110100
31111100121211002220211210
412021021220313111310
523404021403303322
6521532433201420
742333035604603
oct6111150672564
91440554086753
10422142244212
11153036323187
1269992700270
1330a66aa4cb0
1416608bada3a
15aeaa77370c
hex6249a37574

422142244212 has 96 divisors (see below), whose sum is σ = 1083687631488. Its totient is φ = 127096579584.

The previous prime is 422142244133. The next prime is 422142244213. The reversal of 422142244212 is 212442241224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 422142244212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422142244213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3015523 + ... + 3152405.

It is an arithmetic number, because the mean of its divisors is an integer number (11288412828).

Almost surely, 2422142244212 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 422142244212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541843815744).

422142244212 is an abundant number, since it is smaller than the sum of its proper divisors (661545387276).

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

422142244212 is a wasteful number, since it uses less digits than its factorization.

422142244212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137329 (or 137327 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

Adding to 422142244212 its reverse (212442241224), we get a palindrome (634584485436).

The spelling of 422142244212 in words is "four hundred twenty-two billion, one hundred forty-two million, two hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 373 636 689 746 1119 1378 1492 2067 2238 2756 4134 4476 4849 8268 9698 14547 19396 19769 29094 39538 58188 59307 79076 118614 136883 237228 256997 273766 410649 513994 547532 770991 821298 1027988 1541982 1642596 1779479 3083964 3558958 5338437 7117916 7254799 10676874 14509598 21353748 21764397 29019196 43528794 51057359 87057588 94312387 102114718 153172077 188624774 204229436 282937161 306344154 377249548 565874322 612688308 663745667 1131748644 1327491334 1991237001 2654982668 2706040027 3982474002 5412080054 7964948004 8118120081 10824160108 16236240162 32472480324 35178520351 70357040702 105535561053 140714081404 211071122106 422142244212