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453740130000 = 243454560173
BaseRepresentation
bin1101001101001010000…
…01001110111011010000
31121101011221002211110000
412212211001032323100
524413224433130000
6544240105410000
744532050316603
oct6464501167320
91541157084400
10453740130000
11165480524483
1273b30799900
1333a31212731
1417d6551c33a
15bc097d0000
hex69a504eed0

453740130000 has 250 divisors, whose sum is σ = 1641047098394. Its totient is φ = 120997152000.

The previous prime is 453740129989. The next prime is 453740130017. The reversal of 453740130000 is 31047354.

It can be written as a sum of positive squares in 5 ways, for example, as 197797225536 + 255942904464 = 444744^2 + 505908^2 .

It is a tau number, because it is divible by the number of its divisors (250).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 529914 + ... + 1090086.

Almost surely, 2453740130000 is an apocalyptic number.

453740130000 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 453740130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820523549197).

453740130000 is an abundant number, since it is smaller than the sum of its proper divisors (1187306968394).

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

453740130000 is an equidigital number, since it uses as much as digits as its factorization.

453740130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560213 (or 560183 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 453740130000 its reverse (31047354), we get a palindrome (453771177354).

It can be divided in two parts, 453740 and 130000, that added together give a triangular number (583740 = T1080).

The spelling of 453740130000 in words is "four hundred fifty-three billion, seven hundred forty million, one hundred thirty thousand".