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4131143424 = 2833597677
BaseRepresentation
bin1111011000111100…
…0011111100000000
3101122220110211102000
43312033003330000
531430033042144
61521532424000
7204242065632
oct36617037400
911586424360
104131143424
11182aa17221
12973618000
1350ab4a785
142b2930a52
15192a2c769
hexf63c3f00

4131143424 has 72 divisors (see below), whose sum is σ = 12216538320. Its totient is φ = 1377045504.

The previous prime is 4131143417. The next prime is 4131143431. The reversal of 4131143424 is 4243411314.

4131143424 is a `hidden beast` number, since 4 + 1 + 311 + 4 + 342 + 4 = 666.

4131143424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4131143417) and next prime (4131143431).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291927 + ... + 305750.

Almost surely, 24131143424 is an apocalyptic number.

It is an amenable number.

4131143424 is an abundant number, since it is smaller than the sum of its proper divisors (8085394896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131143424 is an equidigital number, since it uses as much as digits as its factorization.

4131143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597702 (or 597682 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4131143424 is about 64273.9715903724. The cubic root of 4131143424 is about 1604.5629415245.

Adding to 4131143424 its reverse (4243411314), we get a palindrome (8374554738).

The spelling of 4131143424 in words is "four billion, one hundred thirty-one million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 597677 1195354 1793031 2390708 3586062 4781416 5379093 7172124 9562832 10758186 14344248 16137279 19125664 21516372 28688496 32274558 38251328 43032744 57376992 64549116 76502656 86065488 114753984 129098232 153005312 172130976 229507968 258196464 344261952 459015936 516392928 688523904 1032785856 1377047808 2065571712 4131143424