Search a number
-
+
4443141232440 = 2332512342058979
BaseRepresentation
bin100000010100111111111…
…0110101101011100111000
3120201202112011002202020200
41000221333312231130320
51040244023123414230
613241052332322200
7636002116223031
oct100517766553470
916652464082220
104443141232440
111463364436479
125b913b013360
13262ca921cb41
14115098d5ba88
157a89a02b160
hex40a7fdad738

4443141232440 has 48 divisors (see below), whose sum is σ = 14440209006600. Its totient is φ = 1184837661888.

The previous prime is 4443141232429. The next prime is 4443141232447. The reversal of 4443141232440 is 442321413444.

4443141232440 is a `hidden beast` number, since 4 + 4 + 4 + 314 + 12 + 324 + 4 + 0 = 666.

It is a super-2 number, since 2×44431412324402 (a number of 26 digits) contains 22 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 = 4443141232395 and 4443141232404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443141232447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6171029130 + ... + 6171029849.

Almost surely, 24443141232440 is an apocalyptic number.

4443141232440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4443141232440 is an abundant number, since it is smaller than the sum of its proper divisors (9997067774160).

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

4443141232440 is a wasteful number, since it uses less digits than its factorization.

4443141232440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12342058996 (or 12342058989 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4443141232440 its reverse (442321413444), we get a palindrome (4885462645884).

The spelling of 4443141232440 in words is "four trillion, four hundred forty-three billion, one hundred forty-one million, two hundred thirty-two 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 12342058979 24684117958 37026176937 49368235916 61710294895 74052353874 98736471832 111078530811 123420589790 148104707748 185130884685 222157061622 246841179580 296209415496 370261769370 444314123244 493682359160 555392654055 740523538740 888628246488 1110785308110 1481047077480 2221570616220 4443141232440