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42134131102420 = 2257242994011329
BaseRepresentation
bin10011001010010000111011…
…11010101101001011010100
312112011222120001002212001201
421211020131322231023110
521010311200030234140
6225340052544202244
711606043022104400
oct1145103572551324
9175158501085051
1042134131102420
1112474a91633415
124885a63309384
131a68301838556
14a59434d54100
154d101357d49a
hex26521dead2d4

42134131102420 has 36 divisors (see below), whose sum is σ = 102927663124020. Its totient is φ = 14445987806208.

The previous prime is 42134131102373. The next prime is 42134131102447. The reversal of 42134131102420 is 2420113143124.

It is a happy number.

42134131102420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10076294765124 + 32057836337296 = 3174318^2 + 5661964^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21497004685 + ... + 21497006644.

It is an arithmetic number, because the mean of its divisors is an integer number (2859101753445).

Almost surely, 242134131102420 is an apocalyptic number.

It is an amenable number.

42134131102420 is an abundant number, since it is smaller than the sum of its proper divisors (60793532021600).

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

42134131102420 is a wasteful number, since it uses less digits than its factorization.

42134131102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42994011352 (or 42994011343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 42134131102420 its reverse (2420113143124), we get a palindrome (44554244245544).

The spelling of 42134131102420 in words is "forty-two trillion, one hundred thirty-four billion, one hundred thirty-one million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 42994011329 85988022658 171976045316 214970056645 300958079303 429940113290 601916158606 859880226580 1203832317212 1504790396515 2106706555121 3009580793030 4213413110242 6019161586060 8426826220484 10533532775605 21067065551210 42134131102420