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11401754841 = 32355932
BaseRepresentation
bin10101001111001100…
…01111100011011001
31002102121102011021100
422213212033203121
5141322322123331
65123215102013
7552355213521
oct124746174331
932377364240
1011401754841
114920aa2194
122262511909
1310c92318c9
147a23b0681
1546ae9cae6
hex2a798f8d9

11401754841 has 9 divisors (see below), whose sum is σ = 16469664159. Its totient is φ = 7600956336.

The previous prime is 11401754831. The next prime is 11401754849. The reversal of 11401754841 is 14845710411.

It is a happy number.

The square root of 11401754841 is 106779.

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

11401754841 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 175 + 484 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 607376025 + 10794378816 = 24645^2 + 103896^2 .

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

It is not a de Polignac number, because 11401754841 - 27 = 11401754713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11401754796 and 11401754805.

It is not an unprimeable number, because it can be changed into a prime (11401754849) 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 8 ways as a sum of consecutive naturals, for example, 302541 + ... + 338133.

Almost surely, 211401754841 is an apocalyptic number.

11401754841 is the 106779-th square number.

11401754841 is the 53390-th centered octagonal number.

It is an amenable number.

11401754841 is a deficient number, since it is larger than the sum of its proper divisors (5067909318).

11401754841 is an frugal number, since it uses more digits than its factorization.

11401754841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71192 (or 35596 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Multiplying 11401754841 by its sum of digits (36), we get a square (410463174276 = 6406742).

The spelling of 11401754841 in words is "eleven billion, four hundred one million, seven hundred fifty-four thousand, eight hundred forty-one".

Divisors: 1 3 9 35593 106779 320337 1266861649 3800584947 11401754841