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2114344033040 = 24526429300413
BaseRepresentation
bin11110110001001000101…
…110011001101100010000
321111010111021022120101202
4132301020232121230100
5234120134033024130
64255152150250332
7305520262514621
oct36611056315420
97433437276352
102114344033040
117457630a4248
122a19356569a8
131244c6a29c15
147449897da48
1539eeb656145
hex1ec48b99b10

2114344033040 has 20 divisors (see below), whose sum is σ = 4915849877004. Its totient is φ = 845737613184.

The previous prime is 2114344032991. The next prime is 2114344033049. The reversal of 2114344033040 is 403304434112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1643072766976 + 471271266064 = 1281824^2 + 686492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×21143440330402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114344032994 and 2114344033012.

It is not an unprimeable number, because it can be changed into a prime (2114344033049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13214650127 + ... + 13214650286.

Almost surely, 22114344033040 is an apocalyptic number.

2114344033040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114344033040 is an abundant number, since it is smaller than the sum of its proper divisors (2801505843964).

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

2114344033040 is a wasteful number, since it uses less digits than its factorization.

2114344033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26429300426 (or 26429300420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 2114344033040 its reverse (403304434112), we get a palindrome (2517648467152).

The spelling of 2114344033040 in words is "two trillion, one hundred fourteen billion, three hundred forty-four million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26429300413 52858600826 105717201652 132146502065 211434403304 264293004130 422868806608 528586008260 1057172016520 2114344033040