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14073815140 = 22571147919079
BaseRepresentation
bin11010001101101110…
…10110000001100100
31100022211100212220121
431012313112001210
5212310344041030
610244310411324
71005522312010
oct150667260144
940284325817
1014073815140
115a72335690
122889360b44
1314339b5088
1497720d540
1557586447a
hex346dd6064

14073815140 has 96 divisors (see below), whose sum is σ = 36926668800. Its totient is φ = 4377256320.

The previous prime is 14073815137. The next prime is 14073815221. The reversal of 14073815140 is 4151837041.

It is a junction number, because it is equal to n+sod(n) for n = 14073815096 and 14073815105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728121 + ... + 747199.

It is an arithmetic number, because the mean of its divisors is an integer number (384652800).

Almost surely, 214073815140 is an apocalyptic number.

14073815140 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 14073815140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18463334400).

14073815140 is an abundant number, since it is smaller than the sum of its proper divisors (22852853660).

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

14073815140 is a wasteful number, since it uses less digits than its factorization.

14073815140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19585 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 14073815140 in words is "fourteen billion, seventy-three million, eight hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 479 770 958 1540 1916 2395 3353 4790 5269 6706 9580 10538 13412 16765 19079 21076 26345 33530 36883 38158 52690 67060 73766 76316 95395 105380 133553 147532 184415 190790 209869 267106 368830 381580 419738 534212 667765 737660 839476 1049345 1335530 1469083 2098690 2671060 2938166 4197380 5876332 7345415 9138841 14690830 18277682 29381660 36555364 45694205 63971887 91388410 100527251 127943774 182776820 201054502 255887548 319859435 402109004 502636255 639718870 703690757 1005272510 1279437740 1407381514 2010545020 2814763028 3518453785 7036907570 14073815140