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14151971240 = 2351122923961
BaseRepresentation
bin11010010111000010…
…11111000110101000
31100112021102121220222
431023201133012220
5212440401034430
610300141505212
71010461525241
oct151341370650
940467377828
1014151971240
116002467500
1228ab572208
131446c4b0a4
14983755cc8
1557c6519e5
hex34b85f1a8

14151971240 has 48 divisors (see below), whose sum is σ = 34999825140. Its totient is φ = 5146169600.

The previous prime is 14151971219. The next prime is 14151971263. The reversal of 14151971240 is 4217915141.

14151971240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13951861924 + 200109316 = 118118^2 + 14146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14151971240.

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 11 ways as a sum of consecutive naturals, for example, 1457141 + ... + 1466820.

Almost surely, 214151971240 is an apocalyptic number.

14151971240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14151971240 is an abundant number, since it is smaller than the sum of its proper divisors (20847853900).

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

14151971240 is a wasteful number, since it uses less digits than its factorization.

14151971240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923994 (or 2923979 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 14151971240 in words is "fourteen billion, one hundred fifty-one million, nine hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 2923961 5847922 11695844 14619805 23391688 29239610 32163571 58479220 64327142 116958440 128654284 160817855 257308568 321635710 353799281 643271420 707598562 1286542840 1415197124 1768996405 2830394248 3537992810 7075985620 14151971240