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14673460340 = 22571110392507
BaseRepresentation
bin11011010101001101…
…10011110001110100
31101212121201000111002
431222212303301310
5220022401212330
610424011102432
71026423232520
oct155246636164
941777630432
1014673460340
11624a870a30
122a16141a18
1314cacb8316
149d2b02d80
155ad311e45
hex36a9b3c74

14673460340 has 96 divisors (see below), whose sum is σ = 38791194624. Its totient is φ = 4529093760.

The previous prime is 14673460331. The next prime is 14673460441. The reversal of 14673460340 is 4306437641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14673460294 and 14673460303.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 112367 + ... + 204873.

It is an arithmetic number, because the mean of its divisors is an integer number (404074944).

Almost surely, 214673460340 is an apocalyptic number.

14673460340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14673460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19395597312).

14673460340 is an abundant number, since it is smaller than the sum of its proper divisors (24117734284).

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

14673460340 is a wasteful number, since it uses less digits than its factorization.

14673460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92637 (or 92635 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

Adding to 14673460340 its reverse (4306437641), we get a palindrome (18979897981).

The spelling of 14673460340 in words is "fourteen billion, six hundred seventy-three million, four hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 103 110 140 154 206 220 308 385 412 515 721 770 1030 1133 1442 1540 2060 2266 2884 3605 4532 5665 7210 7931 11330 14420 15862 22660 31724 39655 79310 92507 158620 185014 370028 462535 647549 925070 1017577 1295098 1850140 2035154 2590196 3237745 4070308 5087885 6475490 7123039 9528221 10175770 12950980 14246078 19056442 20351540 28492156 35615195 38112884 47641105 66697547 71230390 95282210 104810431 133395094 142460780 190564420 209620862 266790188 333487735 419241724 524052155 666975470 733673017 1048104310 1333950940 1467346034 2096208620 2934692068 3668365085 7336730170 14673460340