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141431427040 = 25523292635039
BaseRepresentation
bin1000001110110111111…
…0000100111111100000
3111112001121011220111111
42003231332010333200
54304122421131130
6144550034153104
713134542202661
oct2035576047740
9445047156444
10141431427040
1154a873984a2
12234b1122794
131044c2c5147
146bb97a1368
153a2b72302a
hex20edf84fe0

141431427040 has 192 divisors, whose sum is σ = 362125209600. Its totient is φ = 52037945344.

The previous prime is 141431427031. The next prime is 141431427043. The reversal of 141431427040 is 40724134141.

It is a happy number.

It is a super-3 number, since 3×1414314270403 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141431426993 and 141431427011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141431427043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28064841 + ... + 28069879.

It is an arithmetic number, because the mean of its divisors is an integer number (1886068800).

Almost surely, 2141431427040 is an apocalyptic number.

141431427040 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 141431427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181062604800).

141431427040 is an abundant number, since it is smaller than the sum of its proper divisors (220693782560).

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

141431427040 is a wasteful number, since it uses less digits than its factorization.

141431427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 141431427040 in words is "one hundred forty-one billion, four hundred thirty-one million, four hundred twenty-seven thousand, forty".