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4115361000 = 233532947303
BaseRepresentation
bin1111010101001011…
…0110110011101000
3101121210202222222210
43311102312303220
531412013023000
61520210245120
7203660664012
oct36522666350
911553688883
104115361000
1118220176a3
1296a2867a0
135077b2c6a
142b07c31b2
15191461350
hexf54b6ce8

4115361000 has 128 divisors (see below), whose sum is σ = 13282963200. Its totient is φ = 1059564800.

The previous prime is 4115360999. The next prime is 4115361007. The reversal of 4115361000 is 1635114.

It is not an unprimeable number, because it can be changed into a prime (4115361007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63349 + ... + 110651.

It is an arithmetic number, because the mean of its divisors is an integer number (103773150).

Almost surely, 24115361000 is an apocalyptic number.

4115361000 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 4115361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641481600).

4115361000 is an abundant number, since it is smaller than the sum of its proper divisors (9167602200).

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

4115361000 is a wasteful number, since it uses less digits than its factorization.

4115361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47356 (or 47342 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 4115361000 is about 64151.0794920865. The cubic root of 4115361000 is about 1602.5170019038.

Adding to 4115361000 its reverse (1635114), we get a palindrome (4116996114).

The spelling of 4115361000 in words is "four billion, one hundred fifteen million, three hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 47303 87000 94606 141909 189212 236515 283818 378424 473030 567636 709545 946060 1135272 1182575 1371787 1419090 1892120 2365150 2743574 2838180 3547725 4115361 4730300 5487148 5676360 5912875 6858935 7095450 8230722 9460600 10974296 11825750 13717870 14190900 16461444 17738625 20576805 23651500 27435740 28381800 32922888 34294675 35477250 41153610 47303000 54871480 68589350 70954500 82307220 102884025 137178700 141909000 164614440 171473375 205768050 274357400 342946750 411536100 514420125 685893500 823072200 1028840250 1371787000 2057680500 4115361000