Search a number
-
+
14970131820 = 22325711881057
BaseRepresentation
bin11011111000100101…
…00001010101101100
31102122021221111020200
431330102201111230
5221124323204240
610513245513500
71036655010120
oct157422412554
942567844220
1014970131820
116392281676
122a99572890
1315475bc087
14a2028b580
155c93b4930
hex37c4a156c

14970131820 has 72 divisors (see below), whose sum is σ = 51896461344. Its totient is φ = 3421744128.

The previous prime is 14970131797. The next prime is 14970131833. The reversal of 14970131820 is 2813107941.

It is a happy number.

14970131820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5939269 + ... + 5941788.

Almost surely, 214970131820 is an apocalyptic number.

14970131820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14970131820 is an abundant number, since it is smaller than the sum of its proper divisors (36926329524).

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

14970131820 is a wasteful number, since it uses less digits than its factorization.

14970131820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881079 (or 11881074 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 14970131820 in words is "fourteen billion, nine hundred seventy million, one hundred thirty-one thousand, eight hundred twenty".

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 11881057 23762114 35643171 47524228 59405285 71286342 83167399 106929513 118810570 142572684 166334798 178215855 213859026 237621140 249502197 332669596 356431710 415836995 427718052 499004394 534647565 712863420 748506591 831673990 998008788 1069295130 1247510985 1497013182 1663347980 2138590260 2495021970 2994026364 3742532955 4990043940 7485065910 14970131820