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64143034146 = 23210166153377
BaseRepresentation
bin111011101111001110…
…010000011100100010
320010120020102202011100
4323233032100130202
52022331104043041
645244503455230
74430344536312
oct735716203442
9203506382140
1064143034146
1125226085a24
1210521457516
136082babc99
143166bdb442
151a0632d6b6
hexeef390722

64143034146 has 48 divisors (see below), whose sum is σ = 140567546808. Its totient is φ = 21136896000.

The previous prime is 64143034141. The next prime is 64143034157.

64143034146 is a `hidden beast` number, since 641 + 4 + 3 + 0 + 3 + 4 + 1 + 4 + 6 = 666.

64143034146 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 52856309025 + 11286725121 = 229905^2 + 106239^2 .

It is a super-2 number, since 2×641430341462 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64143034146.

It is not an unprimeable number, because it can be changed into a prime (64143034141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1175010 + ... + 1228386.

Almost surely, 264143034146 is an apocalyptic number.

64143034146 is an abundant number, since it is smaller than the sum of its proper divisors (76424512662).

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

64143034146 is a wasteful number, since it uses less digits than its factorization.

64143034146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54147 (or 54144 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 641430 and 34146, that added together give a palindrome (675576).

The spelling of 64143034146 in words is "sixty-four billion, one hundred forty-three million, thirty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 101 202 303 606 661 909 1322 1818 1983 3966 5949 11898 53377 66761 106754 133522 160131 200283 320262 400566 480393 600849 960786 1201698 5391077 10782154 16173231 32346462 35282197 48519693 70564394 97039386 105846591 211693182 317539773 635079546 3563501897 7127003794 10690505691 21381011382 32071517073 64143034146