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4107833114841 = 326755932
BaseRepresentation
bin111011110001101101111…
…011110000000011011001
3112112201000221201111200100
4323301231323300003121
51014300320234133331
612423040143530013
7602531635235121
oct73615573600331
915481027644610
104107833114841
11134413877a8a5
12564160bb9909
1323a4a03b9971
14102b6a825c81
1571cc2c27ae6
hex3bc6def00d9

4107833114841 has 9 divisors (see below), whose sum is σ = 5933545504159. Its totient is φ = 2738551356336.

The previous prime is 4107833114839. The next prime is 4107833114843. The reversal of 4107833114841 is 1484113387014.

The square root of 4107833114841 is 2026779.

It is a perfect power (a square), and thus also a powerful number.

4107833114841 is a `hidden beast` number, since 410 + 7 + 83 + 3 + 114 + 8 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (4107833114839) and next prime (4107833114843).

It can be written as a sum of positive squares in only one way, i.e., 206038827225 + 3901794287616 = 453915^2 + 1975296^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4107833114841 - 21 = 4107833114839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4107833114843) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5742541 + ... + 6418133.

Almost surely, 24107833114841 is an apocalyptic number.

4107833114841 is the 2026779-th square number.

4107833114841 is the 1013390-th centered octagonal number.

It is an amenable number.

4107833114841 is a deficient number, since it is larger than the sum of its proper divisors (1825712389318).

4107833114841 is an frugal number, since it uses more digits than its factorization.

4107833114841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351192 (or 675596 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 4107833114841 in words is "four trillion, one hundred seven billion, eight hundred thirty-three million, one hundred fourteen thousand, eight hundred forty-one".

Divisors: 1 3 9 675593 2026779 6080337 456425901649 1369277704947 4107833114841