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3441312500 = 225655061
BaseRepresentation
bin1100110100011110…
…0100001011110100
322212211102210021112
43031013210023310
524021434000000
61325251134152
7151164450023
oct31507441364
98784383245
103441312500
11150659301a
128005a4358
1342ac5bbb2
142490828ba
151521b8235
hexcd1e42f4

3441312500 has 42 divisors (see below), whose sum is σ = 7527911454. Its totient is φ = 1376500000.

The previous prime is 3441312487. The next prime is 3441312541. The reversal of 3441312500 is 52131443.

3441312500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3431850724 + 9461776 = 58582^2 + 3076^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 34970 + ... + 90030.

It is an arithmetic number, because the mean of its divisors is an integer number (179235987).

Almost surely, 23441312500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763955727).

3441312500 is an abundant number, since it is smaller than the sum of its proper divisors (4086598954).

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

3441312500 is an frugal number, since it uses more digits than its factorization.

3441312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55095 (or 55068 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3441312500 is about 58662.7010970344. The cubic root of 3441312500 is about 1509.7604257139.

Adding to 3441312500 its reverse (52131443), we get a palindrome (3493443943).

The spelling of 3441312500 in words is "three billion, four hundred forty-one million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 15625 31250 55061 62500 110122 220244 275305 550610 1101220 1376525 2753050 5506100 6882625 13765250 27530500 34413125 68826250 137652500 172065625 344131250 688262500 860328125 1720656250 3441312500