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14320144001241 = 3213219495523859
BaseRepresentation
bin1101000001100010101100…
…0110001010100011011001
31212200222210110100021022200
43100120223012022203121
53334110123331014431
650242330000040413
73005411342433501
oct320305306124331
955628713307280
1014320144001241
114621158a661a1
12173340b303109
137cb4cb238b00
14377154a5ca01
1519c776cbeee6
hexd062b18a8d9

14320144001241 has 36 divisors (see below), whose sum is σ = 23577025258800. Its totient is φ = 8348585959584.

The previous prime is 14320144001237. The next prime is 14320144001243. The reversal of 14320144001241 is 14210044102341.

14320144001241 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 0 + 14 + 400 + 1 + 241 = 666.

It is not a de Polignac number, because 14320144001241 - 22 = 14320144001237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14320144001243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 247733031 + ... + 247790828.

It is an arithmetic number, because the mean of its divisors is an integer number (654917368300).

Almost surely, 214320144001241 is an apocalyptic number.

It is an amenable number.

14320144001241 is a deficient number, since it is larger than the sum of its proper divisors (9256881257559).

14320144001241 is a wasteful number, since it uses less digits than its factorization.

14320144001241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495523910 (or 495523894 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14320144001241 its reverse (14210044102341), we get a palindrome (28530188103582).

The spelling of 14320144001241 in words is "fourteen trillion, three hundred twenty billion, one hundred forty-four million, one thousand, two hundred forty-one".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 507 741 1521 2223 3211 9633 28899 495523859 1486571577 4459714731 6441810167 9414953321 19325430501 28244859963 57976291503 83743532171 84734579889 122394393173 251230596513 367183179519 753691789539 1101549538557 1591127111249 4773381333747 14320144001241