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2114040022002 = 232117446667889
BaseRepresentation
bin11110110000110110100…
…110101100001111110010
321111002201002021012122200
4132300312212230033302
5234114023221201002
64255102050244030
7305506611461226
oct36606646541762
97432632235580
102114040022002
11745617530257
122a186b886616
13124478a5652c
147446a444786
1539eceb03b1c
hex1ec369ac3f2

2114040022002 has 12 divisors (see below), whose sum is σ = 4580420047710. Its totient is φ = 704680007328.

The previous prime is 2114040021937. The next prime is 2114040022009. The reversal of 2114040022002 is 2002200404112.

2114040022002 is a `hidden beast` number, since 2 + 1 + 1 + 40 + 400 + 220 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1709898832161 + 404141189841 = 1307631^2 + 635721^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 117446667889 = 2114040022002 / (2 + 1 + 1 + 4 + 0 + 4 + 0 + 0 + 2 + 2 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (2114040022009) 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 5 ways as a sum of consecutive naturals, for example, 58723333927 + ... + 58723333962.

Almost surely, 22114040022002 is an apocalyptic number.

2114040022002 is an abundant number, since it is smaller than the sum of its proper divisors (2466380025708).

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

2114040022002 is a wasteful number, since it uses less digits than its factorization.

2114040022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117446667897 (or 117446667894 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2114040022002 its reverse (2002200404112), we get a palindrome (4116240426114).

The spelling of 2114040022002 in words is "two trillion, one hundred fourteen billion, forty million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 117446667889 234893335778 352340003667 704680007334 1057020011001 2114040022002