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141313540440 = 23351967213807
BaseRepresentation
bin1000001110011011110…
…0011000000101011000
3111111202101100122111010
42003212330120011120
54303402231243230
6144530223333520
713131611163162
oct2034674300530
9444671318433
10141313540440
1154a2689a556
12234797512a0
1310430a5b167
146ba7c75932
153a211d89b0
hex20e6f18158

141313540440 has 192 divisors, whose sum is σ = 453046003200. Its totient is φ = 35164876032.

The previous prime is 141313540399. The next prime is 141313540441. The reversal of 141313540440 is 44045313141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141313540398 and 141313540407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141313540441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10228017 + ... + 10241823.

It is an arithmetic number, because the mean of its divisors is an integer number (2359614600).

Almost surely, 2141313540440 is an apocalyptic number.

141313540440 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 141313540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226523001600).

141313540440 is an abundant number, since it is smaller than the sum of its proper divisors (311732462760).

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

141313540440 is a wasteful number, since it uses less digits than its factorization.

141313540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13974 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 141313540440 its reverse (44045313141), we get a palindrome (185358853581).

The spelling of 141313540440 in words is "one hundred forty-one billion, three hundred thirteen million, five hundred forty thousand, four hundred forty".