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4032131441121 = 337204071045427
BaseRepresentation
bin111010101011001101110…
…000110010000111100001
3112021110122011200000212000
4322223031300302013201
51012030301122103441
612324200254154213
7564211655516040
oct72531560620741
915243564600760
104032131441121
111315021098993
125515547b2969
132332c79395a4
14dd22889a557
156ed41cac2b6
hex3aacdc321e1

4032131441121 has 32 divisors (see below), whose sum is σ = 6827230279680. Its totient is φ = 2303959999248.

The previous prime is 4032131441083. The next prime is 4032131441137. The reversal of 4032131441121 is 1211441312304.

It is a happy number.

4032131441121 is a `hidden beast` number, since 4 + 0 + 3 + 213 + 1 + 441 + 1 + 2 + 1 = 666.

4032131441121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4032131441121 - 29 = 4032131440609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4032131441171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3334210 + ... + 4379636.

It is an arithmetic number, because the mean of its divisors is an integer number (213350946240).

Almost surely, 24032131441121 is an apocalyptic number.

It is an amenable number.

4032131441121 is a deficient number, since it is larger than the sum of its proper divisors (2795098838559).

4032131441121 is a wasteful number, since it uses less digits than its factorization.

4032131441121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065850 (or 1065844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4032131441121 its reverse (1211441312304), we get a palindrome (5243572753425).

The spelling of 4032131441121 in words is "four trillion, thirty-two billion, one hundred thirty-one million, four hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 20407 61221 142849 183663 428547 550989 1045427 1285641 3136281 3856923 7317989 9408843 21953967 28226529 65861901 197585703 21334028789 64002086367 149338201523 192006259101 448014604569 576018777303 1344043813707 4032131441121