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141002433432 = 233272373166627
BaseRepresentation
bin1000001101010001100…
…1100110001110011000
3111110221200221202220100
42003110121212032120
54302233110332212
6144435311255400
713121112623520
oct2032431461630
9443850852810
10141002433432
115488721a223
12233b151a560
13103b1471983
146b78810680
153a03c33bdc
hex20d4666398

141002433432 has 192 divisors, whose sum is σ = 461652871680. Its totient is φ = 38006724096.

The previous prime is 141002433431. The next prime is 141002433443. The reversal of 141002433432 is 234334200141.

141002433432 is a `hidden beast` number, since 1 + 410 + 0 + 243 + 3 + 4 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 141002433396 and 141002433405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141002433431) 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, 762903 + ... + 929529.

It is an arithmetic number, because the mean of its divisors is an integer number (2404442040).

Almost surely, 2141002433432 is an apocalyptic number.

141002433432 is a gapful number since it is divisible by the number (12) 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 141002433432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230826435840).

141002433432 is an abundant number, since it is smaller than the sum of its proper divisors (320650438248).

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

141002433432 is a wasteful number, since it uses less digits than its factorization.

141002433432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166742 (or 166735 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 141002433432 its reverse (234334200141), we get a palindrome (375336633573).

The spelling of 141002433432 in words is "one hundred forty-one billion, two million, four hundred thirty-three thousand, four hundred thirty-two".