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1244000941920 = 253751132671
BaseRepresentation
bin10010000110100100001…
…110111111011101100000
311101220222120020120000000
4102012210032333131200
5130340203220120140
62351253001300000
7155606334352362
oct22064416773540
94356876216000
101244000941920
1143a63a112000
12181119494600
139040252b609
14442d2212d32
152255ca81a30
hex121a43bf760

1244000941920 has 768 divisors, whose sum is σ = 4850016030720. Its totient is φ = 301463078400.

The previous prime is 1244000941903. The next prime is 1244000941921. The reversal of 1244000941920 is 291490004421.

1244000941920 is a `hidden beast` number, since 124 + 400 + 0 + 9 + 41 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244000941921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465742185 + ... + 465744855.

It is an arithmetic number, because the mean of its divisors is an integer number (6315125040).

Almost surely, 21244000941920 is an apocalyptic number.

1244000941920 is a gapful number since it is divisible by the number (10) 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 1244000941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425008015360).

1244000941920 is an abundant number, since it is smaller than the sum of its proper divisors (3606015088800).

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

1244000941920 is an frugal number, since it uses more digits than its factorization.

1244000941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1244000941920 in words is "one trillion, two hundred forty-four billion, nine hundred forty-one thousand, nine hundred twenty".