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14007416241 = 3713973071723
BaseRepresentation
bin11010000101110100…
…00011010110110001
31100011012102110202010
431002322003112301
5212141344304431
610233535313133
71004055034140
oct150272032661
940135373663
1014007416241
115a38904165
12286b07b7a9
1314230076a0
1496c487757
1556eaea846
hex342e835b1

14007416241 has 64 divisors (see below), whose sum is σ = 23312672768. Its totient is φ = 7284307968.

The previous prime is 14007416221. The next prime is 14007416279. The reversal of 14007416241 is 14261470041.

It is not a de Polignac number, because 14007416241 - 25 = 14007416209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14007416199 and 14007416208.

It is not an unprimeable number, because it can be changed into a prime (14007416221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8128806 + ... + 8130528.

It is an arithmetic number, because the mean of its divisors is an integer number (364260512).

Almost surely, 214007416241 is an apocalyptic number.

It is an amenable number.

14007416241 is a deficient number, since it is larger than the sum of its proper divisors (9305256527).

14007416241 is a wasteful number, since it uses less digits than its factorization.

14007416241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150.

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 14007416241 its reverse (14261470041), we get a palindrome (28268886282).

The spelling of 14007416241 in words is "fourteen billion, seven million, four hundred sixteen thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 39 91 97 273 291 307 679 921 1261 1723 2037 2149 3783 3991 5169 6447 8827 11973 12061 22399 26481 27937 29779 36183 67197 83811 89337 156793 167131 208453 387127 470379 501393 528961 625359 1161381 1169917 1586883 2172703 2709889 3509751 3702727 6518109 6876493 8129667 11108181 15208921 20629479 45626763 48135451 51309217 144406353 153927651 359164519 667019821 1077493557 2001059463 4669138747 14007416241