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14222434142340 = 223253143223265807
BaseRepresentation
bin1100111011110110101100…
…1000101000100010000100
31212100122120220000011001200
43032331223020220202010
53331010021120023330
650125410202422500
72665352114355264
oct316755310504204
955318526004050
1014222434142340
114593778327a96
1217184a0501a30
137c222902bc58
14372525c217a4
15199e58b5aa60
hexcef6b228884

14222434142340 has 288 divisors, whose sum is σ = 45773209337856. Its totient is φ = 3568860207360.

The previous prime is 14222434142333. The next prime is 14222434142363. The reversal of 14222434142340 is 4324143422241.

14222434142340 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 2 + 4 + 3 + 414 + 234 + 0 = 666.

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 = 14222434142295 and 14222434142304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53373717 + ... + 53639523.

Almost surely, 214222434142340 is an apocalyptic number.

14222434142340 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 14222434142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22886604668928).

14222434142340 is an abundant number, since it is smaller than the sum of its proper divisors (31550775195516).

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

14222434142340 is a wasteful number, since it uses less digits than its factorization.

14222434142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266119 (or 266114 counting only the distinct ones).

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

Adding to 14222434142340 its reverse (4324143422241), we get a palindrome (18546577564581).

The spelling of 14222434142340 in words is "fourteen trillion, two hundred twenty-two billion, four hundred thirty-four million, one hundred forty-two thousand, three hundred forty".