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140224440001140 = 223451158131353679
BaseRepresentation
bin11111111000100010001011…
…111011110110001001110100
3200101111022210022200220220000
4133320202023323312021310
5121334414123120014030
61214122115103111300
741351611225566525
oct3770421373661164
9611438708626800
10140224440001140
114075293a811aa0
12138885292a2530
1360321532346c1
14268ac8322284c
15113285d3b7860
hex7f888bef6274

140224440001140 has 240 divisors, whose sum is σ = 479962101991680. Its totient is φ = 33987930635520.

The previous prime is 140224440001127. The next prime is 140224440001183. The reversal of 140224440001140 is 41100044422041.

It is a happy number.

140224440001140 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 244 + 400 + 0 + 1 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102910821 + ... + 104264499.

It is an arithmetic number, because the mean of its divisors is an integer number (1999842091632).

Almost surely, 2140224440001140 is an apocalyptic number.

140224440001140 is a gapful number since it is divisible by the number (10) 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 140224440001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239981050995840).

140224440001140 is an abundant number, since it is smaller than the sum of its proper divisors (339737661990540).

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

140224440001140 is a wasteful number, since it uses less digits than its factorization.

140224440001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359524 (or 1359513 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 140224440001140 its reverse (41100044422041), we get a palindrome (181324484423181).

The spelling of 140224440001140 in words is "one hundred forty trillion, two hundred twenty-four billion, four hundred forty million, one thousand, one hundred forty".