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6144105231 = 34118398219
BaseRepresentation
bin1011011100011011…
…11001101100001111
3120212012012212220000
411232031321230033
5100040342331411
62453401255343
7305154014145
oct55615715417
916765185800
106144105231
112673207220
121235794553
1376bbb2834
14424001595
1525e600956
hex16e379b0f

6144105231 has 40 divisors (see below), whose sum is σ = 10025769600. Its totient is φ = 3718809360.

The previous prime is 6144105229. The next prime is 6144105241. The reversal of 6144105231 is 1325014416.

It is a happy number.

6144105231 is a `hidden beast` number, since 6 + 14 + 410 + 5 + 231 = 666.

It is not a de Polignac number, because 6144105231 - 21 = 6144105229 is a prime.

It is a super-2 number, since 2×61441052312 = 75500058179203126722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6144105195 and 6144105204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144105241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743440 + ... + 751658.

It is an arithmetic number, because the mean of its divisors is an integer number (250644240).

Almost surely, 26144105231 is an apocalyptic number.

6144105231 is a deficient number, since it is larger than the sum of its proper divisors (3881664369).

6144105231 is a wasteful number, since it uses less digits than its factorization.

6144105231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9072 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6144105231 is about 78384.3430220602. The cubic root of 6144105231 is about 1831.5532445729.

Adding to 6144105231 its reverse (1325014416), we get a palindrome (7469119647).

The spelling of 6144105231 in words is "six billion, one hundred forty-four million, one hundred five thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 297 839 891 2517 7551 8219 9229 22653 24657 27687 67959 73971 83061 90409 221913 249183 271227 665739 747549 813681 2441043 6895741 7323129 20687223 62061669 75853151 186185007 227559453 558555021 682678359 2048035077 6144105231