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42413142421044 = 22321178142845029
BaseRepresentation
bin10011010010011000101000…
…10010011010111000110100
312120011122201211010101200100
421221030110102122320310
521024344103424433134
6230112154553114100
711635151131143123
oct1151142422327064
9176148654111610
1042413142421044
111257234920874a
12490bb4b6b8930
131a887081b6165
14a68b4276baba
154d83e32c8999
hex26931449ae34

42413142421044 has 18 divisors (see below), whose sum is σ = 107210998897730. Its totient is φ = 14137714140336.

The previous prime is 42413142421043. The next prime is 42413142421049. The reversal of 42413142421044 is 44012424131424.

42413142421044 is a `hidden beast` number, since 4 + 2 + 4 + 13 + 1 + 424 + 210 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42403382956944 + 9759464100 = 6511788^2 + 98790^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1178142845029 = 42413142421044 / (4 + 2 + 4 + 1 + 3 + 1 + 4 + 2 + 4 + 2 + 1 + 0 + 4 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413142421043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589071422479 + ... + 589071422550.

Almost surely, 242413142421044 is an apocalyptic number.

It is an amenable number.

42413142421044 is an abundant number, since it is smaller than the sum of its proper divisors (64797856476686).

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

42413142421044 is a wasteful number, since it uses less digits than its factorization.

42413142421044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178142845039 (or 1178142845034 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 42413142421044 its reverse (44012424131424), we get a palindrome (86425566552468).

The spelling of 42413142421044 in words is "forty-two trillion, four hundred thirteen billion, one hundred forty-two million, four hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1178142845029 2356285690058 3534428535087 4712571380116 7068857070174 10603285605261 14137714140348 21206571210522 42413142421044