Search a number
-
+
141059181960 = 23325391831061
BaseRepresentation
bin1000001101011111001…
…0000100110110001000
3111111002122201220020200
42003113302010312020
54302342122310320
6144445055452200
713122402156234
oct2032762046610
9444078656220
10141059181960
115490625a234
1223408527060
13103c0150998
146b821835c4
153a08be3290
hex20d7c84d88

141059181960 has 48 divisors (see below), whose sum is σ = 458442342540. Its totient is φ = 37615781760.

The previous prime is 141059181917. The next prime is 141059181979. The reversal of 141059181960 is 69181950141.

141059181960 is a `hidden beast` number, since 1 + 41 + 0 + 591 + 8 + 19 + 6 + 0 = 666.

141059181960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 141034798116 + 24383844 = 375546^2 + 4938^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195915171 + ... + 195915890.

Almost surely, 2141059181960 is an apocalyptic number.

141059181960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141059181960 is an abundant number, since it is smaller than the sum of its proper divisors (317383160580).

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

141059181960 is a wasteful number, since it uses less digits than its factorization.

141059181960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391831078 (or 391831071 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

It can be divided in two parts, 141059181 and 960, that added together give a palindrome (141060141).

The spelling of 141059181960 in words is "one hundred forty-one billion, fifty-nine million, one hundred eighty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 391831061 783662122 1175493183 1567324244 1959155305 2350986366 3134648488 3526479549 3918310610 4701972732 5877465915 7052959098 7836621220 9403945464 11754931830 14105918196 15673242440 17632397745 23509863660 28211836392 35264795490 47019727320 70529590980 141059181960