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42021300043140 = 223511596611632571
BaseRepresentation
bin10011000110111110110001…
…01010010111110110000100
312111210012022122120011110020
421203133120222113312010
521001434110302340030
6225212152503055140
711564636662655655
oct1143373052276604
9174705278504406
1042021300043140
11124311514215a0
1248680144414b0
131a5a78c958252
14a53badb8352c
154cd10cb63510
hex2637d8a97d84

42021300043140 has 192 divisors, whose sum is σ = 130729051837440. Its totient is φ = 9999164736000.

The previous prime is 42021300043127. The next prime is 42021300043157. The reversal of 42021300043140 is 4134000312024.

It is a super-3 number, since 3×420213000431403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 42021300043140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24923055 + ... + 26555625.

It is an arithmetic number, because the mean of its divisors is an integer number (680880478320).

Almost surely, 242021300043140 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 42021300043140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65364525918720).

42021300043140 is an abundant number, since it is smaller than the sum of its proper divisors (88707751794300).

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

42021300043140 is a wasteful number, since it uses less digits than its factorization.

42021300043140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633314 (or 1633312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42021300043140 its reverse (4134000312024), we get a palindrome (46155300355164).

The spelling of 42021300043140 in words is "forty-two trillion, twenty-one billion, three hundred million, forty-three thousand, one hundred forty".