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34532111145132 = 22321795177592843
BaseRepresentation
bin1111101101000001000100…
…01101111101100010101100
311112021020102012101100201100
413312200202031331202230
514011233230423121012
6201235455521443100
710162601622453636
oct766404215754254
9145236365340640
1034532111145132
1110003a93544797
123a5867a1a0490
131636496c3b533
148755124a5a56
153ed3d5a0a8dc
hex1f682237d8ac

34532111145132 has 72 divisors (see below), whose sum is σ = 92425306808016. Its totient is φ = 10833471396864.

The previous prime is 34532111145019. The next prime is 34532111145137. The reversal of 34532111145132 is 23154111123543.

34532111145132 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 21 + 1 + 114 + 513 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34532111145137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57951903 + ... + 58544745.

It is an arithmetic number, because the mean of its divisors is an integer number (1283684816778).

Almost surely, 234532111145132 is an apocalyptic number.

It is an amenable number.

34532111145132 is an abundant number, since it is smaller than the sum of its proper divisors (57893195662884).

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

34532111145132 is a wasteful number, since it uses less digits than its factorization.

34532111145132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688047 (or 688042 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Adding to 34532111145132 its reverse (23154111123543), we get a palindrome (57686222268675).

The spelling of 34532111145132 in words is "thirty-four trillion, five hundred thirty-two billion, one hundred eleven million, one hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 95177 190354 285531 380708 571062 592843 856593 1142124 1185686 1618009 1713186 1778529 2371372 3236018 3426372 3557058 4854027 5335587 6472036 7114116 9708054 10078331 10671174 14562081 19416108 20156662 21342348 29124162 30234993 40313324 58248324 60469986 90704979 120939972 181409958 362819916 56425018211 112850036422 169275054633 225700072844 338550109266 507825163899 677100218532 959225309587 1015650327798 1918450619174 2031300655596 2877675928761 3836901238348 5755351857522 8633027786283 11510703715044 17266055572566 34532111145132