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2114452561401 = 321972335118389
BaseRepresentation
bin11110110001001111001…
…100011001110111111001
321111010202211112101022200
4132301033030121313321
5234120344323431101
64255211024340413
7305523051140055
oct36611714316771
97433684471280
102114452561401
11745809390204
122a1965a74709
1312451336849b
14744a9150c65
153a005e42986
hex1ec4f319df9

2114452561401 has 24 divisors (see below), whose sum is σ = 3082888191240. Its totient is φ = 1396460034816.

The previous prime is 2114452561369. The next prime is 2114452561427. The reversal of 2114452561401 is 1041652544112.

2114452561401 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 4 + 52 + 561 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 787521355776 + 1326931205625 = 887424^2 + 1151925^2 .

It is not a de Polignac number, because 2114452561401 - 25 = 2114452561369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2114452561451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2146086 + ... + 2972303.

It is an arithmetic number, because the mean of its divisors is an integer number (128453674635).

Almost surely, 22114452561401 is an apocalyptic number.

It is an amenable number.

2114452561401 is a deficient number, since it is larger than the sum of its proper divisors (968435629839).

2114452561401 is a wasteful number, since it uses less digits than its factorization.

2114452561401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118825 (or 5118822 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2114452561401 in words is "two trillion, one hundred fourteen billion, four hundred fifty-two million, five hundred sixty-one thousand, four hundred one".

Divisors: 1 3 9 197 233 591 699 1773 2097 45901 137703 413109 5118389 15355167 46065501 1008322633 1192584637 3024967899 3577753911 9074903697 10733261733 234939173489 704817520467 2114452561401