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14444428860 = 22325711130237
BaseRepresentation
bin11010111001111010…
…00111111000111100
31101021122202000100200
431130331013320330
5214040233210420
610345150123500
71020642422331
oct153475077074
941248660320
1014444428860
11614255a214
1229714b0590
131492707b34
149b0524988
15598170b90
hex35cf47e3c

14444428860 has 72 divisors (see below), whose sum is σ = 44431916256. Its totient is φ = 3797592960.

The previous prime is 14444428849. The next prime is 14444428861. The reversal of 14444428860 is 6882444441.

14444428860 is a `hidden beast` number, since 144 + 4 + 4 + 428 + 86 + 0 = 666.

It is a super-3 number, since 3×144444288603 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444428861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552339 + ... + 577898.

It is an arithmetic number, because the mean of its divisors is an integer number (617109948).

Almost surely, 214444428860 is an apocalyptic number.

14444428860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444428860 is an abundant number, since it is smaller than the sum of its proper divisors (29987487396).

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

14444428860 is a wasteful number, since it uses less digits than its factorization.

14444428860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130323 (or 1130318 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 14444428860 in words is "fourteen billion, four hundred forty-four million, four hundred twenty-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 1130237 2260474 3390711 4520948 5651185 6781422 10172133 11302370 13562844 16953555 20344266 22604740 33907110 40688532 50860665 67814220 80246827 101721330 160493654 203442660 240740481 320987308 401234135 481480962 722221443 802468270 962961924 1203702405 1444442886 1604936540 2407404810 2888885772 3611107215 4814809620 7222214430 14444428860