Search a number
-
+
14162038840 = 235538118237
BaseRepresentation
bin11010011000001111…
…11001000000111000
31100112222101010002001
431030013321000320
5213000440220330
610301141350344
71010643225655
oct151407710070
940488333061
1014162038840
116008113434
1228b2a083b4
131449064651
14984c16c2c
1557d48e9ca
hex34c1f9038

14162038840 has 64 divisors (see below), whose sum is σ = 32509784160. Its totient is φ = 5550405120.

The previous prime is 14162038829. The next prime is 14162038871. The reversal of 14162038840 is 4883026141.

It is a super-3 number, since 3×141620388403 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14162038840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715202 + ... + 1723438.

Almost surely, 214162038840 is an apocalyptic number.

14162038840 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 14162038840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254892080).

14162038840 is an abundant number, since it is smaller than the sum of its proper divisors (18347745320).

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

14162038840 is a wasteful number, since it uses less digits than its factorization.

14162038840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 14162038840 in words is "fourteen billion, one hundred sixty-two million, thirty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 811 1060 1622 2120 3244 4055 6488 8110 8237 16220 16474 32440 32948 41185 42983 65896 82370 85966 164740 171932 214915 329480 343864 429830 436561 859660 873122 1719320 1746244 2182805 3492488 4365610 6680207 8731220 13360414 17462440 26720828 33401035 53441656 66802070 133604140 267208280 354050971 708101942 1416203884 1770254855 2832407768 3540509710 7081019420 14162038840