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42424204040022 = 2378358972063741
BaseRepresentation
bin10011010010101101001111…
…00111001001011101010110
312120012201021201111212021010
421221112213213021131112
521030034232213240042
6230121224342033050
711636022216305130
oct1151264747113526
9176181251455233
1042424204040022
1112577005202812
124912118118786
131a8977bb0662c
14a694b18bc050
154d883e48a59c
hex2695a79c9756

42424204040022 has 64 divisors (see below), whose sum is σ = 98154607348224. Its totient is φ = 11973126063360.

The previous prime is 42424204040011. The next prime is 42424204040087. The reversal of 42424204040022 is 22004040242424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19525072 + ... + 21588812.

It is an arithmetic number, because the mean of its divisors is an integer number (1533665739816).

Almost surely, 242424204040022 is an apocalyptic number.

42424204040022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42424204040022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49077303674112).

42424204040022 is an abundant number, since it is smaller than the sum of its proper divisors (55730403308202).

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

42424204040022 is a wasteful number, since it uses less digits than its factorization.

42424204040022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069733.

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

Adding to 42424204040022 its reverse (22004040242424), we get a palindrome (64428244282446).

The spelling of 42424204040022 in words is "forty-two trillion, four hundred twenty-four billion, two hundred four million, forty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1162 1743 3486 5897 11794 17691 35382 41279 82558 123837 247674 489451 978902 1468353 2063741 2936706 3426157 4127482 6191223 6852314 10278471 12382446 14446187 20556942 28892374 43338561 86677122 171290503 342581006 513871509 1027743018 1199033521 2398067042 3597100563 7194201126 12169880677 24339761354 36509642031 73019284062 85189164739 170378329478 255567494217 511134988434 1010100096191 2020200192382 3030300288573 6060600577146 7070700673337 14141401346674 21212102020011 42424204040022