Search a number
-
+
1444422304440 = 233254012284179
BaseRepresentation
bin10101000001001110010…
…001110100001010111000
312010002022021101200012200
4111001032101310022320
5142131134102220230
63023320342510200
7206233063003503
oct25011621641270
95102267350180
101444422304440
1150763780a095
121b3b32135360
13a6292c2b70b
144dca625a13a
152788ced9160
hex1504e4742b8

1444422304440 has 48 divisors (see below), whose sum is σ = 4694372490600. Its totient is φ = 385179281088.

The previous prime is 1444422304439. The next prime is 1444422304441. The reversal of 1444422304440 is 444032244441.

It is a happy number.

1444422304440 is a `hidden beast` number, since 144 + 4 + 42 + 2 + 30 + 4 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1444422304439) and next prime (1444422304441).

It is a super-3 number, since 3×14444223044403 (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1444422304395 and 1444422304404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444422304441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2006141730 + ... + 2006142449.

Almost surely, 21444422304440 is an apocalyptic number.

1444422304440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444422304440 is an abundant number, since it is smaller than the sum of its proper divisors (3249950186160).

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

1444422304440 is a wasteful number, since it uses less digits than its factorization.

1444422304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012284196 (or 4012284189 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 1444422304440 its reverse (444032244441), we get a palindrome (1888454548881).

The spelling of 1444422304440 in words is "one trillion, four hundred forty-four billion, four hundred twenty-two million, three hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4012284179 8024568358 12036852537 16049136716 20061420895 24073705074 32098273432 36110557611 40122841790 48147410148 60184262685 72221115222 80245683580 96294820296 120368525370 144442230444 160491367160 180552788055 240737050740 288884460888 361105576110 481474101480 722211152220 1444422304440