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42111354280320 = 27365137197789
BaseRepresentation
bin10011001001100110100000…
…10100000001100110000000
312112002210202200111102000000
421210303100110001212000
521004423023143432240
6225321404502000000
711604305421235263
oct1144632024014600
9175083680442000
1042111354280320
11124663637178a6
124881567416000
131a66111a8a420
14a582b3d5ccda
154d062db55430
hex264cd0501980

42111354280320 has 896 divisors, whose sum is σ = 164841505012800. Its totient is φ = 10219769118720.

The previous prime is 42111354280297. The next prime is 42111354280337. The reversal of 42111354280320 is 2308245311124.

42111354280320 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 1 + 3 + 54 + 280 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 430585986 + ... + 430683774.

Almost surely, 242111354280320 is an apocalyptic number.

42111354280320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111354280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82420752506400).

42111354280320 is an abundant number, since it is smaller than the sum of its proper divisors (122730150732480).

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

42111354280320 is an equidigital number, since it uses as much as digits as its factorization.

42111354280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97910 (or 97883 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 42111354280320 its reverse (2308245311124), we get a palindrome (44419599591444).

The spelling of 42111354280320 in words is "forty-two trillion, one hundred eleven billion, three hundred fifty-four million, two hundred eighty thousand, three hundred twenty".