Search a number
-
+
14022021420240 = 2435713136174261
BaseRepresentation
bin1100110000001100000110…
…0110110001010011010000
31211122111021210010000021120
43030003001212301103100
53314214044440421430
645453343330322240
72645025522341661
oct314030146612320
954574253100246
1014022021420240
1145167845a1649
1216a568a729380
137a936a365922
14366952dc7368
15194b2935d610
hexcc0c19b14d0

14022021420240 has 320 divisors, whose sum is σ = 44303394258432. Its totient is φ = 3667945881600.

The previous prime is 14022021420233. The next prime is 14022021420241. The reversal of 14022021420240 is 4202412022041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14022021420240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022021420241) 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 63 ways as a sum of consecutive naturals, for example, 3290779710 + ... + 3290783970.

Almost surely, 214022021420240 is an apocalyptic number.

14022021420240 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 14022021420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22151697129216).

14022021420240 is an abundant number, since it is smaller than the sum of its proper divisors (30281372838192).

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

14022021420240 is a wasteful number, since it uses less digits than its factorization.

14022021420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14022021420240 its reverse (4202412022041), we get a palindrome (18224433442281).

The spelling of 14022021420240 in words is "fourteen trillion, twenty-two billion, twenty-one million, four hundred twenty thousand, two hundred forty".