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14454422445441 = 3113712239679627
BaseRepresentation
bin1101001001010110111010…
…1101110001110110000001
31220011211101112221000000210
43102111232231301312001
53343310124121223231
650424134153104333
73021204030405216
oct322255655616601
956154345830023
1014454422445441
1146730a470a820
1217554449b80a9
1380b07a623514
1437d85243db0d
151a0ed555aa46
hexd256eb71d81

14454422445441 has 32 divisors (see below), whose sum is σ = 21610505161728. Its totient is φ = 8516522139840.

The previous prime is 14454422445431. The next prime is 14454422445457.

It is a happy number.

14454422445441 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-14454422445441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14454422445431) 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 31 ways as a sum of consecutive naturals, for example, 3346531 + ... + 6333096.

It is an arithmetic number, because the mean of its divisors is an integer number (675328286304).

Almost surely, 214454422445441 is an apocalyptic number.

14454422445441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14454422445441 is a deficient number, since it is larger than the sum of its proper divisors (7156082716287).

14454422445441 is a wasteful number, since it uses less digits than its factorization.

14454422445441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680901.

The product of its digits is 6553600, while the sum is 48.

The spelling of 14454422445441 in words is "fourteen trillion, four hundred fifty-four billion, four hundred twenty-two million, four hundred forty-five thousand, four hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 1223 3669 13453 40359 45251 135753 497761 1493283 9679627 29038881 106475897 319427691 358146199 1074438597 3939608189 11818824567 11838183821 35514551463 130220022031 390660066093 438012801377 1314038404131 4818140815147 14454422445441