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14222434132401 = 3111607326814089
BaseRepresentation
bin1100111011110110101100…
…1000100110000110110001
31212100122120212222122102120
43032331223020212012301
53331010021114214101
650125410202304453
72665352114314305
oct316755310460661
955318525878376
1014222434132401
114593778320580
1217184a04b8129
137c2229027581
14372525c1bd05
15199e58b57b36
hexcef6b2261b1

14222434132401 has 16 divisors (see below), whose sum is σ = 20688464767680. Its totient is φ = 8619120446720.

The previous prime is 14222434132391. The next prime is 14222434132477. The reversal of 14222434132401 is 10423143422241.

It is a cyclic number.

It is not a de Polignac number, because 14222434132401 - 214 = 14222434116017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14222434132901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12876636 + ... + 13937453.

It is an arithmetic number, because the mean of its divisors is an integer number (1293029047980).

Almost surely, 214222434132401 is an apocalyptic number.

14222434132401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14222434132401 is a deficient number, since it is larger than the sum of its proper divisors (6466030635279).

14222434132401 is a wasteful number, since it uses less digits than its factorization.

14222434132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26830176.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14222434132401 its reverse (10423143422241), we get a palindrome (24645577554642).

The spelling of 14222434132401 in words is "fourteen trillion, two hundred twenty-two billion, four hundred thirty-four million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 3 11 33 16073 48219 176803 530409 26814089 80442267 294954979 884864937 430982852497 1292948557491 4740811377467 14222434132401