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14433377333441 = 1143198715357091
BaseRepresentation
bin1101001000001000100001…
…0101000011000011000001
31220002211001212211112122012
43102002020111003003001
53342434024044132231
650410334011222305
73016530355041443
oct322021025030301
956084055745565
1014433377333441
114665185255680
121751350a47995
138090a5575121
1437c817426493
151a06a2b9be2b
hexd20885430c1

14433377333441 has 16 divisors (see below), whose sum is σ = 16119786617088. Its totient is φ = 12809655910800.

The previous prime is 14433377333423. The next prime is 14433377333477.

14433377333441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14433377333441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14433377333441.

It is not an unprimeable number, because it can be changed into a prime (14433377333741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6738695 + ... + 8618396.

It is an arithmetic number, because the mean of its divisors is an integer number (1007486663568).

Almost surely, 214433377333441 is an apocalyptic number.

14433377333441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14433377333441 is a deficient number, since it is larger than the sum of its proper divisors (1686409283647).

14433377333441 is a wasteful number, since it uses less digits than its factorization.

14433377333441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15359132.

The product of its digits is 9144576, while the sum is 50.

It can be divided in two parts, 1443337 and 7333441, that added together give a palindrome (8776778).

The spelling of 14433377333441 in words is "fourteen trillion, four hundred thirty-three billion, three hundred seventy-seven million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 11 43 473 1987 21857 85441 939851 15357091 168928001 660354913 7263904043 30514539817 335659937987 1312125212131 14433377333441