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142444433431440 = 2435571955093147
BaseRepresentation
bin100000011000110101101101…
…110110101101101110010000
3200200100112222110222221200000
4200120311231312231232100
5122132302144424301230
61222542022550530000
742001161564444060
oct4030655566555620
9620315873887600
10142444433431440
1141429388176098
1213b86828666900
1361635b600246a
1427264c12493a0
15117048ebd8b60
hex818d6ddadb90

142444433431440 has 480 divisors, whose sum is σ = 596804238750720. Its totient is φ = 30845109837312.

The previous prime is 142444433431331. The next prime is 142444433431543. The reversal of 142444433431440 is 44134334444241.

142444433431440 is a `hidden beast` number, since 1 + 4 + 24 + 4 + 443 + 3 + 43 + 144 + 0 = 666.

142444433431440 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24961054 + ... + 30132093.

It is an arithmetic number, because the mean of its divisors is an integer number (1243342164064).

Almost surely, 2142444433431440 is an apocalyptic number.

142444433431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142444433431440 is an abundant number, since it is smaller than the sum of its proper divisors (454359805319280).

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

142444433431440 is a wasteful number, since it uses less digits than its factorization.

142444433431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55093201 (or 55093183 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 45.

Adding to 142444433431440 its reverse (44134334444241), we get a palindrome (186578767875681).

The spelling of 142444433431440 in words is "one hundred forty-two trillion, four hundred forty-four billion, four hundred thirty-three million, four hundred thirty-one thousand, four hundred forty".