Search a number
-
+
42224040442200 = 2335270373400737
BaseRepresentation
bin10011001100111000011001…
…11011100111100101011000
312112111120121222101112202010
421212130030323213211120
521013244313323122300
6225445242325305520
711615405040635421
oct1146341473474530
9175446558345663
1042224040442200
11124aa12a062101
12489b3758652a0
131a7392c937216
14a5d923bb2648
154d352699ca50
hex26670cee7958

42224040442200 has 48 divisors (see below), whose sum is σ = 130894525372680. Its totient is φ = 11259744117760.

The previous prime is 42224040442193. The next prime is 42224040442201. The reversal of 42224040442200 is 224404042224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224040442201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35186699769 + ... + 35186700968.

Almost surely, 242224040442200 is an apocalyptic number.

42224040442200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42224040442200 is an abundant number, since it is smaller than the sum of its proper divisors (88670484930480).

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

42224040442200 is a wasteful number, since it uses less digits than its factorization.

42224040442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70373400756 (or 70373400747 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42224040442200 its reverse (224404042224), we get a palindrome (42448444484424).

The spelling of 42224040442200 in words is "forty-two trillion, two hundred twenty-four billion, forty million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 70373400737 140746801474 211120202211 281493602948 351867003685 422240404422 562987205896 703734007370 844480808844 1055601011055 1407468014740 1688961617688 1759335018425 2111202022110 2814936029480 3518670036850 4222404044220 5278005055275 7037340073700 8444808088440 10556010110550 14074680147400 21112020221100 42224040442200