Search a number
-
+
14114112660 = 223252910326251
BaseRepresentation
bin11010010010100010…
…00100010010010100
31100102122012012201100
431021101010102110
5212401203101120
610252310230100
71006521656334
oct151121042224
940378165640
1014114112660
115a9305981a
12289a955330
13143c15416b
1497c6dd0c4
15579174490
hex349444494

14114112660 has 144 divisors (see below), whose sum is σ = 44720807040. Its totient is φ = 3598560000.

The previous prime is 14114112653. The next prime is 14114112707. The reversal of 14114112660 is 6621141141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524535 + ... + 550785.

It is an arithmetic number, because the mean of its divisors is an integer number (310561160).

Almost surely, 214114112660 is an apocalyptic number.

14114112660 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 14114112660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360403520).

14114112660 is an abundant number, since it is smaller than the sum of its proper divisors (30606694380).

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

14114112660 is a wasteful number, since it uses less digits than its factorization.

14114112660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26398 (or 26393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 14114112660 in words is "fourteen billion, one hundred fourteen million, one hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 103 116 145 174 180 206 261 290 309 348 412 435 515 522 580 618 870 927 1030 1044 1236 1305 1545 1740 1854 2060 2610 2987 3090 3708 4635 5220 5974 6180 8961 9270 11948 14935 17922 18540 26251 26883 29870 35844 44805 52502 53766 59740 78753 89610 105004 107532 131255 134415 157506 179220 236259 262510 268830 315012 393765 472518 525020 537660 761279 787530 945036 1181295 1522558 1575060 2283837 2362590 2703853 3045116 3806395 4567674 4725180 5407706 6851511 7612790 8111559 9135348 10815412 11419185 13519265 13703022 15225580 16223118 22838370 24334677 27038530 27406044 32446236 34257555 40557795 45676740 48669354 54077060 68515110 78411737 81115590 97338708 121673385 137030220 156823474 162231180 235235211 243346770 313646948 392058685 470470422 486693540 705705633 784117370 940940844 1176176055 1411411266 1568234740 2352352110 2822822532 3528528165 4704704220 7057056330 14114112660