Search a number
-
+
1440424425440 = 255711139479497
BaseRepresentation
bin10100111101011111111…
…111000111011111100000
312002200222122200101020002
4110331133333013133200
5142044442123103230
63021415530235132
7206032026412550
oct24753777073740
95080878611202
101440424425440
11505976044460
121b31b7285aa8
13a5aa68a0540
144da072d9160
1527707032545
hex14f5ffc77e0

1440424425440 has 384 divisors, whose sum is σ = 4574372963328. Its totient is φ = 413946593280.

The previous prime is 1440424425379. The next prime is 1440424425443. The reversal of 1440424425440 is 445244240441.

It is a junction number, because it is equal to n+sod(n) for n = 1440424425394 and 1440424425403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440424425443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151666772 + ... + 151676268.

It is an arithmetic number, because the mean of its divisors is an integer number (11912429592).

Almost surely, 21440424425440 is an apocalyptic number.

1440424425440 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 1440424425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287186481664).

1440424425440 is an abundant number, since it is smaller than the sum of its proper divisors (3133948537888).

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

1440424425440 is a wasteful number, since it uses less digits than its factorization.

1440424425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 38.

Adding to 1440424425440 its reverse (445244240441), we get a palindrome (1885668665881).

The spelling of 1440424425440 in words is "one trillion, four hundred forty billion, four hundred twenty-four million, four hundred twenty-five thousand, four hundred forty".