Search a number
-
+
1244438415936 = 26325328772
BaseRepresentation
bin10010000110111110010…
…011110100101001000000
311101222010001102112112100
4102012332103310221000
5130342102213302221
62351404230030400
7155623226002002
oct22067623645100
94358101375470
101244438415936
1143a844052781
1218121baa8400
1390472060a91
1444334370372
1522586198926
hex121be4f4a40

1244438415936 has 189 divisors, whose sum is σ = 3639679097691. Its totient is φ = 406522082304.

The previous prime is 1244438415931. The next prime is 1244438415973. The reversal of 1244438415936 is 6395148344421.

The square root of 1244438415936 is 1115544.

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

1244438415936 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 4 + 3 + 8 + 41 + 593 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 403916175936 + 840522240000 = 635544^2 + 916800^2 .

It is a super-4 number, since 4×12444384159364 (a number of 49 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1244438415931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1418971530 + ... + 1418972406.

Almost surely, 21244438415936 is an apocalyptic number.

1244438415936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1244438415936 is the 1115544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244438415936

1244438415936 is an abundant number, since it is smaller than the sum of its proper divisors (2395240681755).

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

1244438415936 is an frugal number, since it uses more digits than its factorization.

1244438415936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 935 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 1244438415936 in words is "one trillion, two hundred forty-four billion, four hundred thirty-eight million, four hundred fifteen thousand, nine hundred thirty-six".