Search a number
-
+
141304067775 = 325213211228953
BaseRepresentation
bin1000001110011001100…
…0001111011010111111
3111111201201112101102200
42003212120033122333
54303342320132100
6144525244322543
713131434521113
oct2034630173277
9444651471380
10141304067775
1154a2150a602
1223476543453
131042bac2630
146ba68cb743
153a20466e00
hex20e660f6bf

141304067775 has 72 divisors (see below), whose sum is σ = 273852795216. Its totient is φ = 69235084800.

The previous prime is 141304067771. The next prime is 141304067789. The reversal of 141304067775 is 577760403141.

141304067775 is a `hidden beast` number, since 141 + 30 + 406 + 7 + 7 + 75 = 666.

It is not a de Polignac number, because 141304067775 - 22 = 141304067771 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141304067775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141304067771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 502699 + ... + 731651.

Almost surely, 2141304067775 is an apocalyptic number.

141304067775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141304067775 is a deficient number, since it is larger than the sum of its proper divisors (132548727441).

141304067775 is a wasteful number, since it uses less digits than its factorization.

141304067775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229193 (or 229185 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 141304067775 in words is "one hundred forty-one billion, three hundred four million, sixty-seven thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 211 225 325 585 633 975 1055 1899 2743 2925 3165 5275 8229 9495 13715 15825 24687 41145 47475 68575 123435 205725 228953 617175 686859 1144765 2060577 2976389 3434295 5723825 8929167 10302885 14881945 17171475 26787501 44645835 48309083 51514425 74409725 133937505 144927249 223229175 241545415 434781747 628018079 669687525 724636245 1207727075 1884054237 2173908735 3140090395 3623181225 5652162711 9420271185 10869543675 15700451975 28260813555 47101355925 141304067775