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42151015124 = 2225741002933
BaseRepresentation
bin100111010000011001…
…010111001011010100
311000210120120102112022
4213100121113023110
51142311124440444
631210334312312
73021353500631
oct472031271324
9130716512468
1042151015124
1116970170599
128204358698
133c898c288a
14207c137188
15116a7799ee
hex9d06572d4

42151015124 has 12 divisors (see below), whose sum is σ = 74051298804. Its totient is φ = 20993501184.

The previous prime is 42151015121. The next prime is 42151015163.

It is a happy number.

42151015124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21682562500 + 20468452624 = 147250^2 + 143068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42151015093 and 42151015102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42151015121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20500439 + ... + 20502494.

It is an arithmetic number, because the mean of its divisors is an integer number (6170941567).

Almost surely, 242151015124 is an apocalyptic number.

It is an amenable number.

42151015124 is a deficient number, since it is larger than the sum of its proper divisors (31900283680).

42151015124 is a wasteful number, since it uses less digits than its factorization.

42151015124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41003194 (or 41003192 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 421510 and 15124, that added together give a palindrome (436634).

The spelling of 42151015124 in words is "forty-two billion, one hundred fifty-one million, fifteen thousand, one hundred twenty-four".

Divisors: 1 2 4 257 514 1028 41002933 82005866 164011732 10537753781 21075507562 42151015124