Search a number
-
+
1441714693440 = 26357593361789
BaseRepresentation
bin10100111110101100111…
…001000110010101000000
312002211022120112210011210
4110332230321012111000
5142110112430142230
63022151541210120
7206106014461050
oct24765471062500
95084276483153
101441714693440
115064783a494a
121b34b7400940
13a5c50cab928
144daca805560
152778044deb0
hex14face46540

1441714693440 has 224 divisors, whose sum is σ = 5240201091840. Its totient is φ = 328978169856.

The previous prime is 1441714693439. The next prime is 1441714693459. The reversal of 1441714693440 is 443964171441.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1441714693440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3804066 + ... + 4165854.

Almost surely, 21441714693440 is an apocalyptic number.

1441714693440 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 1441714693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620100545920).

1441714693440 is an abundant number, since it is smaller than the sum of its proper divisors (3798486398400).

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

1441714693440 is a wasteful number, since it uses less digits than its factorization.

1441714693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362409 (or 362399 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 1441714693440 in words is "one trillion, four hundred forty-one billion, seven hundred fourteen million, six hundred ninety-three thousand, four hundred forty".