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2124552433040 = 24527899522017
BaseRepresentation
bin11110111010101001001…
…100010110110110010000
321112002211201020000120122
4132322221030112312100
5234302040410324130
64304001135525412
7306331250501012
oct36725114266620
97462751200518
102124552433040
1174a021509264
122a3904389868
13125462952bab
1474b866701b2
153a3e797c2e5
hex1eea9316d90

2124552433040 has 40 divisors (see below), whose sum is σ = 4941356020920. Its totient is φ = 849516179456.

The previous prime is 2124552433013. The next prime is 2124552433057. The reversal of 2124552433040 is 403342554212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 117808205824 + 2006744227216 = 343232^2 + 1416596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 4537889 + ... + 4984128.

It is an arithmetic number, because the mean of its divisors is an integer number (123533900523).

Almost surely, 22124552433040 is an apocalyptic number.

2124552433040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124552433040 is an abundant number, since it is smaller than the sum of its proper divisors (2816803587880).

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

2124552433040 is a wasteful number, since it uses less digits than its factorization.

2124552433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524819 (or 9524813 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 2124552433040 its reverse (403342554212), we get a palindrome (2527894987252).

The spelling of 2124552433040 in words is "two trillion, one hundred twenty-four billion, five hundred fifty-two million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2789 5578 11156 13945 22312 27890 44624 55780 111560 223120 9522017 19044034 38088068 47610085 76176136 95220170 152352272 190440340 380880680 761761360 26556905413 53113810826 106227621652 132784527065 212455243304 265569054130 424910486608 531138108260 1062276216520 2124552433040