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20423411443440 = 24325196143243031
BaseRepresentation
bin1001010010011001100100…
…01011110010011011110000
32200022110101122210102112100
410221030302023302123300
510134104121312142230
6111234215150500400
74205354113635015
oct451146213623360
980273348712470
1020423411443440
11656457a3603a5
12235a23b204700
13b51bc4ccb395
145086d981170c
152563d6c63660
hex1293322f26f0

20423411443440 has 240 divisors, whose sum is σ = 72210601082880. Its totient is φ = 5158737538560.

The previous prime is 20423411443387. The next prime is 20423411443489. The reversal of 20423411443440 is 4434411432402.

20423411443440 is a `hidden beast` number, since 2 + 0 + 42 + 34 + 1 + 144 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 20423411443395 and 20423411443404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83914725 + ... + 84157755.

It is an arithmetic number, because the mean of its divisors is an integer number (300877504512).

Almost surely, 220423411443440 is an apocalyptic number.

20423411443440 is a gapful number since it is divisible by the number (20) 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 20423411443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36105300541440).

20423411443440 is an abundant number, since it is smaller than the sum of its proper divisors (51787189639440).

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

20423411443440 is a wasteful number, since it uses less digits than its factorization.

20423411443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249212 (or 249203 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 20423411443440 its reverse (4434411432402), we get a palindrome (24857822875842).

The spelling of 20423411443440 in words is "twenty trillion, four hundred twenty-three billion, four hundred eleven million, four hundred forty-three thousand, four hundred forty".