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11344841541 = 3211282112689
BaseRepresentation
bin10101001000011010…
…01000101101000101
31002021122022122220100
422210031020231011
5141213234412131
65113423154313
7551064363525
oct124415105505
932248278810
1011344841541
1148a195a400
122247445999
1310ba4c58b7
147989d7685
15465ea97e6
hex2a4348b45

11344841541 has 36 divisors (see below), whose sum is σ = 18035510220. Its totient is φ = 6866745600.

The previous prime is 11344841503. The next prime is 11344841569. The reversal of 11344841541 is 14514844311.

11344841541 is a `hidden beast` number, since 1 + 1 + 34 + 4 + 84 + 1 + 541 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2104056900 + 9240784641 = 45870^2 + 96129^2 .

It is not a de Polignac number, because 11344841541 - 26 = 11344841477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11344841496 and 11344841505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344841041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 887725 + ... + 900413.

It is an arithmetic number, because the mean of its divisors is an integer number (500986395).

Almost surely, 211344841541 is an apocalyptic number.

11344841541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11344841541 is a deficient number, since it is larger than the sum of its proper divisors (6690668679).

11344841541 is a wasteful number, since it uses less digits than its factorization.

11344841541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13538 (or 13524 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The spelling of 11344841541 in words is "eleven billion, three hundred forty-four million, eight hundred forty-one thousand, five hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 821 1089 2463 7389 9031 12689 27093 38067 81279 99341 114201 139579 298023 418737 894069 1256211 1535369 4606107 10417669 13818321 31253007 93759021 114594359 343783077 1031349231 1260537949 3781613847 11344841541