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14341345014444 = 22373114813371797
BaseRepresentation
bin1101000010110001101011…
…0001100111001010101100
31212210000111222210022221220
43100230122301213022230
53334432033310430234
650300153431223340
73010061620165560
oct320543261471254
955700458708856
1014341345014444
11462a148423208
121737547517b50
138004c96a1136
143781a66596a0
1519d0b81c6a49
hexd0b1ac672ac

14341345014444 has 96 divisors (see below), whose sum is σ = 39480022020096. Its totient is φ = 3965070493440.

The previous prime is 14341345014427. The next prime is 14341345014449. The reversal of 14341345014444 is 44441054314341.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14341345014396 and 14341345014405.

It is not an unprimeable number, because it can be changed into a prime (14341345014449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38387154 + ... + 38758950.

It is an arithmetic number, because the mean of its divisors is an integer number (411250229376).

Almost surely, 214341345014444 is an apocalyptic number.

14341345014444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14341345014444 is an abundant number, since it is smaller than the sum of its proper divisors (25138677005652).

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

14341345014444 is a wasteful number, since it uses less digits than its factorization.

14341345014444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386655 (or 386653 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

Adding to 14341345014444 its reverse (44441054314341), we get a palindrome (58782399328785).

The spelling of 14341345014444 in words is "fourteen trillion, three hundred forty-one billion, three hundred forty-five million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 14813 29626 44439 59252 88878 103691 177756 207382 311073 371797 414764 459203 622146 743594 918406 1115391 1244292 1377609 1487188 1836812 2230782 2602579 2755218 3214421 4461564 5205158 5510436 6428842 7807737 9643263 10410316 11525707 12857684 15615474 19286526 23051414 31230948 34577121 38573052 46102828 69154242 80679949 138308484 161359898 242039847 322719796 484079694 968159388 5507428961 11014857922 16522286883 22029715844 33044573766 38552002727 66089147532 77104005454 115656008181 154208010908 170730297791 231312016362 341460595582 462624032724 512190893373 682921191164 1024381786746 1195112084537 2048763573492 2390224169074 3585336253611 4780448338148 7170672507222 14341345014444