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141311332031430 = 23511193161112310613
BaseRepresentation
bin100000001000010110011011…
…101111111001101111000110
3200112100020020200210211120010
4200020112123233321233012
5122010221102000001210
61220313310231251050
741523256353452121
oct4010263357715706
9615306220724503
10141311332031430
1141031887a53370
1213a230bb219a86
1360b07a8466a82
1426c770d8973b8
151150c731da920
hex80859bbf9bc6

141311332031430 has 512 divisors, whose sum is σ = 409007056158720. Its totient is φ = 30862073088000.

The previous prime is 141311332031381. The next prime is 141311332031459. The reversal of 141311332031430 is 34130233113141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13314922804 + ... + 13314933416.

It is an arithmetic number, because the mean of its divisors is an integer number (798841906560).

Almost surely, 2141311332031430 is an apocalyptic number.

141311332031430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141311332031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204503528079360).

141311332031430 is an abundant number, since it is smaller than the sum of its proper divisors (267695724127290).

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

141311332031430 is a wasteful number, since it uses less digits than its factorization.

141311332031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11868.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 141311332031430 its reverse (34130233113141), we get a palindrome (175441565144571).

The spelling of 141311332031430 in words is "one hundred forty-one trillion, three hundred eleven billion, three hundred thirty-two million, thirty-one thousand, four hundred thirty".