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14614166742 = 23723103191769
BaseRepresentation
bin11011001110001001…
…00111110011010110
31101201111010120221220
431213010213303112
5214412211313432
610414052151210
71025103240060
oct154704476326
941644116856
1014614166742
11621a35285a
1229ba308506
1314bb927a56
149c8caa730
155a7eed72c
hex367127cd6

14614166742 has 128 divisors (see below), whose sum is σ = 35424829440. Its totient is φ = 3929333760.

The previous prime is 14614166737. The next prime is 14614166759. The reversal of 14614166742 is 24766141641.

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 = 14614166694 and 14614166703.

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 63 ways as a sum of consecutive naturals, for example, 19003734 + ... + 19004502.

It is an arithmetic number, because the mean of its divisors is an integer number (276756480).

Almost surely, 214614166742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14614166742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712414720).

14614166742 is an abundant number, since it is smaller than the sum of its proper divisors (20810662698).

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

14614166742 is a wasteful number, since it uses less digits than its factorization.

14614166742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098.

The product of its digits is 193536, while the sum is 42.

The spelling of 14614166742 in words is "fourteen billion, six hundred fourteen million, one hundred sixty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 103 138 161 191 206 309 322 382 483 573 618 721 769 966 1146 1337 1442 1538 2163 2307 2369 2674 4011 4326 4393 4614 4738 5383 7107 8022 8786 10766 13179 14214 16149 16583 17687 19673 26358 30751 32298 33166 35374 39346 49749 53061 59019 61502 79207 92253 99498 106122 118038 123809 137711 146879 158414 184506 237621 247618 275422 293758 371427 413133 440637 452479 475242 554449 742854 826266 881274 904958 1028153 1108898 1357437 1663347 1821761 2056306 2714874 3084459 3167353 3326694 3378217 3643522 5465283 6168918 6334706 6756434 9502059 10134651 10930566 12752327 15128537 19004118 20269302 23647519 25504654 30257074 38256981 45385611 47295038 70942557 76513962 90771222 105899759 141885114 211799518 317699277 347956351 635398554 695912702 1043869053 2087738106 2435694457 4871388914 7307083371 14614166742