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4541340000 = 2535475689
BaseRepresentation
bin1000011101010111…
…10101100101100000
3102201111022222022210
410032223311211200
533300040340000
62030344402120
7220352516211
oct41653654540
912644288283
104541340000
111a20516a5a
12a68a76340
13574b1c242
143111cb408
151b8a57350
hex10eaf5960

4541340000 has 120 divisors (see below), whose sum is σ = 14896700280. Its totient is φ = 1211008000.

The previous prime is 4541339993. The next prime is 4541340019. The reversal of 4541340000 is 431454.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22156 + ... + 97844.

It is an arithmetic number, because the mean of its divisors is an integer number (124139169).

Almost surely, 24541340000 is an apocalyptic number.

4541340000 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 4541340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448350140).

4541340000 is an abundant number, since it is smaller than the sum of its proper divisors (10355360280).

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

4541340000 is an equidigital number, since it uses as much as digits as its factorization.

4541340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75722 (or 75699 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4541340000 is about 67389.4650520391. The cubic root of 4541340000 is about 1656.0038390539.

Adding to 4541340000 its reverse (431454), we get a palindrome (4541771454).

The spelling of 4541340000 in words is "four billion, five hundred forty-one million, three 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 75689 151378 227067 302756 378445 454134 605512 756890 908268 1135335 1211024 1513780 1816536 1892225 2270670 2422048 3027560 3633072 3784450 4541340 5676675 6055120 7266144 7568900 9082680 9461125 11353350 12110240 15137800 18165360 18922250 22706700 28383375 30275600 36330720 37844500 45413400 47305625 56766750 60551200 75689000 90826800 94611250 113533500 141916875 151378000 181653600 189222500 227067000 283833750 302756000 378445000 454134000 567667500 756890000 908268000 1135335000 1513780000 2270670000 4541340000