Search a number
-
+
141005580840 = 2335519763513
BaseRepresentation
bin1000001101010010010…
…1100110101000101000
3111110221220212200100000
42003110211212220220
54302234412041330
6144435502543000
713121151442605
oct2032445465050
9443856780300
10141005580840
1154888a79993
12233b2597a60
13103b2004447
146b78dcd6ac
153a04156560
hex20d4966a28

141005580840 has 192 divisors, whose sum is σ = 500254372800. Its totient is φ = 35622415872.

The previous prime is 141005580811. The next prime is 141005580893. The reversal of 141005580840 is 48085500141.

141005580840 is a `hidden beast` number, since 14 + 10 + 0 + 558 + 0 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141005580795 and 141005580804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197077 + ... + 566436.

It is an arithmetic number, because the mean of its divisors is an integer number (2605491525).

Almost surely, 2141005580840 is an apocalyptic number.

141005580840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141005580840 is an abundant number, since it is smaller than the sum of its proper divisors (359248791960).

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

141005580840 is a wasteful number, since it uses less digits than its factorization.

141005580840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763558 (or 763542 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 141005580840 in words is "one hundred forty-one billion, five million, five hundred eighty thousand, eight hundred forty".