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14088754420 = 225131723138587
BaseRepresentation
bin11010001111100000…
…10101010011110100
31100100212110212202021
431013300111103310
5212323210120140
610250002522524
71006063302526
oct150760252364
940325425667
1014088754420
115a7a8097a4
122892366444
131436b15ba0
149791bba16
15576d15b4a
hex347c154f4

14088754420 has 96 divisors (see below), whose sum is σ = 35203569408. Its totient is φ = 4683098112.

The previous prime is 14088754417. The next prime is 14088754423. The reversal of 14088754420 is 2445788041.

14088754420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14088754417) and next prime (14088754423).

It is a super-2 number, since 2×140887544202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14088754423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32367 + ... + 170953.

It is an arithmetic number, because the mean of its divisors is an integer number (366703848).

Almost surely, 214088754420 is an apocalyptic number.

14088754420 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 14088754420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17601784704).

14088754420 is an abundant number, since it is smaller than the sum of its proper divisors (21114814988).

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

14088754420 is a wasteful number, since it uses less digits than its factorization.

14088754420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138649 (or 138647 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 43.

The spelling of 14088754420 in words is "fourteen billion, eighty-eight million, seven hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 23 26 34 46 52 65 68 85 92 115 130 170 221 230 260 299 340 391 442 460 598 782 884 1105 1196 1495 1564 1955 2210 2990 3910 4420 5083 5980 7820 10166 20332 25415 50830 101660 138587 277174 554348 692935 1385870 1801631 2355979 2771740 3187501 3603262 4711958 6375002 7206524 9008155 9423916 11779895 12750004 15937505 18016310 23559790 30627727 31875010 36032620 41437513 47119580 54187517 61255454 63750020 82875026 108375034 122510908 153138635 165750052 207187565 216750068 270937585 306277270 414375130 541875170 612554540 704437721 828750260 1083750340 1408875442 2817750884 3522188605 7044377210 14088754420