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42441454323400 = 235211421136733521
BaseRepresentation
bin10011010011001101010111…
…10011110000011011001000
312120021100210220222001102111
421221212223303300123020
521030330044301322100
6230133200203312104
711640202542301366
oct1151465363603310
9176240726861374
1042441454323400
1112583357578a60
12491553121b634
131a8b29a90b3c2
14a6a26a90c636
154d8eedb006ba
hex2699abcf06c8

42441454323400 has 192 divisors, whose sum is σ = 107984810136960. Its totient is φ = 15384875520000.

The previous prime is 42441454323391. The next prime is 42441454323403. The reversal of 42441454323400 is 432345414424.

42441454323400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42441454323403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266098640 + ... + 1266132160.

It is an arithmetic number, because the mean of its divisors is an integer number (562420886130).

Almost surely, 242441454323400 is an apocalyptic number.

42441454323400 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 42441454323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53992405068480).

42441454323400 is an abundant number, since it is smaller than the sum of its proper divisors (65543355813560).

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

42441454323400 is a wasteful number, since it uses less digits than its factorization.

42441454323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35336 (or 35327 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 42441454323400 its reverse (432345414424), we get a palindrome (42873799737824).

The spelling of 42441454323400 in words is "forty-two trillion, four hundred forty-one billion, four hundred fifty-four million, three hundred twenty-three thousand, four hundred".