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4131143720 = 2351116357601
BaseRepresentation
bin1111011000111100…
…0100000000101000
3101122220110211210222
43312033010000220
531430033044340
61521532425212
7204242066534
oct36617040050
911586424728
104131143720
11182aa17470
12973618208
1350ab4a952
142b2930bc4
15192a2c8b5
hexf63c4028

4131143720 has 64 divisors (see below), whose sum is σ = 10202466240. Its totient is φ = 1492992000.

The previous prime is 4131143719. The next prime is 4131143743. The reversal of 4131143720 is 273411314.

It is a self number, because there is not a number n which added to its sum of digits gives 4131143720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42920 + ... + 100520.

It is an arithmetic number, because the mean of its divisors is an integer number (159413535).

Almost surely, 24131143720 is an apocalyptic number.

4131143720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131143720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101233120).

4131143720 is an abundant number, since it is smaller than the sum of its proper divisors (6071322520).

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

4131143720 is a wasteful number, since it uses less digits than its factorization.

4131143720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57786 (or 57782 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4131143720 is about 64273.9738930152. The cubic root of 4131143720 is about 1604.5629798472.

The spelling of 4131143720 in words is "four billion, one hundred thirty-one million, one hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 163 220 326 440 652 815 1304 1630 1793 3260 3586 6520 7172 8965 14344 17930 35860 57601 71720 115202 230404 288005 460808 576010 633611 1152020 1267222 2304040 2534444 3168055 5068888 6336110 9388963 12672220 18777926 25344440 37555852 46944815 75111704 93889630 103278593 187779260 206557186 375558520 413114372 516392965 826228744 1032785930 2065571860 4131143720