Search a number
-
+
42412022021424 = 24311421190797623
BaseRepresentation
bin10011010010010110100011…
…00000011011110100110000
312120011112211201220012100010
421221023101200123310300
521024334310114141144
6230111451451054520
711635111304664666
oct1151132140336460
9176145751805303
1042412022021424
111257192382a950
12490b898441440
131a8858a0421c3
14a68a77a3cc36
154d8379c635b9
hex2692d181bd30

42412022021424 has 80 divisors (see below), whose sum is σ = 119808696824064. Its totient is φ = 12821600198400.

The previous prime is 42412022021423. The next prime is 42412022021431.

42412022021424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424120220214242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42412022021391 and 42412022021400.

It is not an unprimeable number, because it can be changed into a prime (42412022021423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95176524 + ... + 95621099.

Almost surely, 242412022021424 is an apocalyptic number.

42412022021424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42412022021424 is an abundant number, since it is smaller than the sum of its proper divisors (77396674802640).

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

42412022021424 is a wasteful number, since it uses less digits than its factorization.

42412022021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190798066 (or 190798060 counting only the distinct ones).

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

It can be divided in two parts, 4241202 and 2021424, that added together give a palindrome (6262626).

The spelling of 42412022021424 in words is "forty-two trillion, four hundred twelve billion, twenty-two million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 421 528 842 1263 1684 2526 3368 4631 5052 6736 9262 10104 13893 18524 20208 27786 37048 55572 74096 111144 222288 190797623 381595246 572392869 763190492 1144785738 1526380984 2098773853 2289571476 3052761968 4197547706 4579142952 6296321559 8395095412 9158285904 12592643118 16790190824 25185286236 33580381648 50370572472 80325799283 100741144944 160651598566 240977397849 321303197132 481954795698 642606394264 883583792113 963909591396 1285212788528 1767167584226 1927819182792 2650751376339 3534335168452 3855638365584 5301502752678 7068670336904 10603005505356 14137340673808 21206011010712 42412022021424