Search a number
-
+
14208741540 = 22325711276779
BaseRepresentation
bin11010011101110100…
…00011000010100100
31100200020020212010200
431032322003002210
5213044414212130
610305530350500
71012051211310
oct151672030244
940606225120
1014208741540
116031511904
12290658b430
131455936c96
1498b0d2b40
15582617760
hex34ee830a4

14208741540 has 72 divisors (see below), whose sum is σ = 49256975040. Its totient is φ = 3247712064.

The previous prime is 14208741527. The next prime is 14208741551. The reversal of 14208741540 is 4514780241.

It is a happy number.

14208741540 is a `hidden beast` number, since 1 + 42 + 0 + 8 + 74 + 1 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14208741495 and 14208741504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5637130 + ... + 5639649.

Almost surely, 214208741540 is an apocalyptic number.

14208741540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14208741540 is an abundant number, since it is smaller than the sum of its proper divisors (35048233500).

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

14208741540 is a wasteful number, since it uses less digits than its factorization.

14208741540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276801 (or 11276796 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 14208741540 in words is "fourteen billion, two hundred eight million, seven hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 11276779 22553558 33830337 45107116 56383895 67660674 78937453 101491011 112767790 135321348 157874906 169151685 202982022 225535580 236812359 315749812 338303370 394687265 405964044 473624718 507455055 676606740 710437077 789374530 947249436 1014910110 1184061795 1420874154 1578749060 2029820220 2368123590 2841748308 3552185385 4736247180 7104370770 14208741540