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42004102332420 = 223251634339293559
BaseRepresentation
bin10011000110011110101111…
…00110010100000000000100
312111201112221010000221102100
421203033113212110000010
521001143400144114140
6225200230200312100
711563460545563444
oct1143172746240004
9174645833027370
1042004102332420
11124249267a3a28
124864814a72630
131a58c7b9cc867
14a5301bb1a124
154cc952e35530
hex2633d7994004

42004102332420 has 288 divisors, whose sum is σ = 128664627436800. Its totient is φ = 11091592839168.

The previous prime is 42004102332419. The next prime is 42004102332421. The reversal of 42004102332420 is 2423320140024.

42004102332420 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 1 + 0 + 233 + 2 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (42004102332419) and next prime (42004102332421).

It is a super-2 number, since 2×420041023324202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42004102332421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11802218601 + ... + 11802222159.

It is an arithmetic number, because the mean of its divisors is an integer number (446752178600).

Almost surely, 242004102332420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004102332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64332313718400).

42004102332420 is an abundant number, since it is smaller than the sum of its proper divisors (86660525104380).

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

42004102332420 is a wasteful number, since it uses less digits than its factorization.

42004102332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42004102332420 its reverse (2423320140024), we get a palindrome (44427422472444).

The spelling of 42004102332420 in words is "forty-two trillion, four billion, one hundred two million, three hundred thirty-two thousand, four hundred twenty".