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42041202126 = 23711101900973
BaseRepresentation
bin100111001001110110…
…011101010111001110
311000111220221100102020
4213021312131113032
51142100021432001
631151412511010
73015551215260
oct471166352716
9130456840366
1042041202126
1116914187450
12819361b466
133c6cc24681
14206b70db30
151160cd7736
hex9c9d9d5ce

42041202126 has 64 divisors (see below), whose sum is σ = 105868048896. Its totient is φ = 10811664000.

The previous prime is 42041202121. The next prime is 42041202149. The reversal of 42041202126 is 62120214024.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42041202096 and 42041202105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403825 + ... + 497148.

It is an arithmetic number, because the mean of its divisors is an integer number (1654188264).

Almost surely, 242041202126 is an apocalyptic number.

42041202126 is an abundant number, since it is smaller than the sum of its proper divisors (63826846770).

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

42041202126 is a wasteful number, since it uses less digits than its factorization.

42041202126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901097.

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 42041202126 in words is "forty-two billion, forty-one million, two hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 1111 1414 2121 2222 3333 4242 6666 7777 15554 23331 46662 900973 1801946 2702919 5405838 6306811 9910703 12613622 18920433 19821406 29732109 37840866 59464218 69374921 90998273 138749842 181996546 208124763 272994819 416249526 545989638 636987911 1000981003 1273975822 1910963733 2001962006 3002943009 3821927466 6005886018 7006867021 14013734042 21020601063 42041202126