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14437313820 = 2232583966353
BaseRepresentation
bin11010111001000011…
…11110110100011100
31101021011100112100200
431130201332310130
5214031423020240
610344333423500
71020525066636
oct153441766434
941234315320
1014437313820
11613953a616
12296b03ab90
1314910b6457
149ad5d1a56
15597717930
hex35c87ed1c

14437313820 has 72 divisors (see below), whose sum is σ = 44320859856. Its totient is φ = 3803561472.

The previous prime is 14437313819. The next prime is 14437313843. The reversal of 14437313820 is 2831373441.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468237 + ... + 498116.

It is an arithmetic number, because the mean of its divisors is an integer number (615567498).

Almost surely, 214437313820 is an apocalyptic number.

14437313820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14437313820 is an abundant number, since it is smaller than the sum of its proper divisors (29883546036).

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

14437313820 is a wasteful number, since it uses less digits than its factorization.

14437313820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966451 (or 966446 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 1443731 and 3820, that added together give a triangular number (1447551 = T1701).

The spelling of 14437313820 in words is "fourteen billion, four hundred thirty-seven million, three hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 966353 1932706 2899059 3865412 4831765 5798118 8697177 9663530 11596236 14495295 17394354 19327060 28990590 34788708 43485885 57981180 80207299 86971770 160414598 173943540 240621897 320829196 401036495 481243794 721865691 802072990 962487588 1203109485 1443731382 1604145980 2406218970 2887462764 3609328455 4812437940 7218656910 14437313820