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132256311212144 = 2472351341735719
BaseRepresentation
bin11110000100100101010010…
…011100101111100001110000
3122100021120122201121210100002
4132010211102130233201300
5114313341411132242034
61145141413253445132
736600126453442640
oct3604452234574160
9570246581553302
10132256311212144
113916064a845369
1212a001ab0407a8
1358a49415994a2
14249334d720520
15104545449de7e
hex78495272f870

132256311212144 has 40 divisors (see below), whose sum is σ = 305586011005440. Its totient is φ = 54216872918208.

The previous prime is 132256311212111. The next prime is 132256311212189. The reversal of 132256311212144 is 441212113652231.

132256311212144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132256311212098 and 132256311212107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25670865284 + ... + 25670870435.

It is an arithmetic number, because the mean of its divisors is an integer number (7639650275136).

Almost surely, 2132256311212144 is an apocalyptic number.

132256311212144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132256311212144 is an abundant number, since it is smaller than the sum of its proper divisors (173329699793296).

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

132256311212144 is a wasteful number, since it uses less digits than its factorization.

132256311212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51341735757 (or 51341735751 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

Adding to 132256311212144 its reverse (441212113652231), we get a palindrome (573468424864375).

The spelling of 132256311212144 in words is "one hundred thirty-two trillion, two hundred fifty-six billion, three hundred eleven million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 51341735719 102683471438 205366942876 359392150033 410733885752 718784300066 821467771504 1180859921537 1437568600132 2361719843074 2875137200264 4723439686148 5750274400528 8266019450759 9446879372296 16532038901518 18893758744592 33064077803036 66128155606072 132256311212144