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4615140000 = 2535476919
BaseRepresentation
bin1000100110001010…
…10111001010100000
3102220122012101220010
410103011113022200
533422433440000
62041542244520
7222240020442
oct42305271240
912818171803
104615140000
111a59142a99
12a89726740
135871bb593
1431ad1c492
151c0283d50
hex1131572a0

4615140000 has 120 divisors (see below), whose sum is σ = 15138779040. Its totient is φ = 1230688000.

The previous prime is 4615139999. The next prime is 4615140017. The reversal of 4615140000 is 415164.

It is a tau number, because it is divible by the number of its divisors (120).

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 19 ways as a sum of consecutive naturals, for example, 21541 + ... + 98459.

It is an arithmetic number, because the mean of its divisors is an integer number (126156492).

Almost surely, 24615140000 is an apocalyptic number.

4615140000 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 4615140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569389520).

4615140000 is an abundant number, since it is smaller than the sum of its proper divisors (10523639040).

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

4615140000 is an equidigital number, since it uses as much as digits as its factorization.

4615140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76952 (or 76929 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4615140000 is about 67934.8217043366. The cubic root of 4615140000 is about 1664.9260939879.

Adding to 4615140000 its reverse (415164), we get a palindrome (4615555164).

The spelling of 4615140000 in words is "four billion, six hundred fifteen million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 76919 153838 230757 307676 384595 461514 615352 769190 923028 1153785 1230704 1538380 1846056 1922975 2307570 2461408 3076760 3692112 3845950 4615140 5768925 6153520 7384224 7691900 9230280 9614875 11537850 12307040 15383800 18460560 19229750 23075700 28844625 30767600 36921120 38459500 46151400 48074375 57689250 61535200 76919000 92302800 96148750 115378500 144223125 153838000 184605600 192297500 230757000 288446250 307676000 384595000 461514000 576892500 769190000 923028000 1153785000 1538380000 2307570000 4615140000