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131241440000 = 28541126779
BaseRepresentation
bin111101000111010011…
…0010111001100000000
3110112202102220221011002
41322032212113030000
54122240302040000
6140142543311132
712324166555646
oct1721646271400
9415672827132
10131241440000
115072840a400
12215285ab4a8
13c4b7148108
1464d0305196
153631d378d5
hex1e8e997300

131241440000 has 270 divisors, whose sum is σ = 359876318340. Its totient is φ = 47717120000.

The previous prime is 131241439999. The next prime is 131241440063. The reversal of 131241440000 is 44142131.

It is a super-3 number, since 3×1312414400003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19356611 + ... + 19363389.

Almost surely, 2131241440000 is an apocalyptic number.

131241440000 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 131241440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179938159170).

131241440000 is an abundant number, since it is smaller than the sum of its proper divisors (228634878340).

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

131241440000 is an frugal number, since it uses more digits than its factorization.

131241440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131241440000 its reverse (44142131), we get a palindrome (131285582131).

The spelling of 131241440000 in words is "one hundred thirty-one billion, two hundred forty-one million, four hundred forty thousand".