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4316490000 = 243454732
BaseRepresentation
bin1000000010100100…
…00110100100010000
3102010211020102010000
410001102012210100
532320010140000
61552153210000
7211652362644
oct40122064420
912124212100
104316490000
111915600909
12a05700900
1353a3740c4
142cd3bac24
151a3e40000
hex101486910

4316490000 has 375 divisors, whose sum is σ = 15828255993. Its totient is φ = 1135296000.

The previous prime is 4316489993. The next prime is 4316490029. The reversal of 4316490000 is 946134.

The square root of 4316490000 is 65700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3061630224 + 1254859776 = 55332^2 + 35424^2 .

It is a tau number, because it is divible by the number of its divisors (375).

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 59129964 + ... + 59130036.

Almost surely, 24316490000 is an apocalyptic number.

4316490000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4316490000 is the 65700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4316490000

4316490000 is an abundant number, since it is smaller than the sum of its proper divisors (11511765993).

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

4316490000 is an frugal number, since it uses more digits than its factorization.

4316490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 4316490000 is about 1628.2093575776.

The spelling of 4316490000 in words is "four billion, three hundred sixteen million, four hundred ninety thousand".