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141809149440 = 293457151647
BaseRepresentation
bin1000010000010001111…
…0111110011000000000
3111120000220221012020000
42010010132332120000
54310411120240230
6145051330120000
713150106611320
oct2040436763000
9446026835200
10141809149440
1155160627972
1223597720000
13104ac63671a
146c13a07280
153a4e985b60
hex21047be600

141809149440 has 800 divisors, whose sum is σ = 585222257664. Its totient is φ = 32149094400.

The previous prime is 141809149399. The next prime is 141809149451. The reversal of 141809149440 is 44941908141.

It is a happy number.

141809149440 is a `hidden beast` number, since 1 + 4 + 1 + 80 + 91 + 49 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 219179197 + ... + 219179843.

Almost surely, 2141809149440 is an apocalyptic number.

141809149440 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 141809149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292611128832).

141809149440 is an abundant number, since it is smaller than the sum of its proper divisors (443413108224).

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

141809149440 is an equidigital number, since it uses as much as digits as its factorization.

141809149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 141809149440 in words is "one hundred forty-one billion, eight hundred nine million, one hundred forty-nine thousand, four hundred forty".