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14156884000 = 25537272229
BaseRepresentation
bin11010010111101000…
…01110100000100000
31100112121200012222001
431023310032200200
5212443130242000
610300435053344
71010551346200
oct151364164040
940477605861
1014156884000
116005212536
1228b1141254
131447c7b24c
14984274400
1557ccc246a
hex34bd0e820

14156884000 has 144 divisors (see below), whose sum is σ = 40462957080. Its totient is φ = 4853721600.

The previous prime is 14156883971. The next prime is 14156884009. The reversal of 14156884000 is 48865141.

It can be written as a sum of positive squares in 4 ways, for example, as 1881130384 + 12275753616 = 43372^2 + 110796^2 .

It is not an unprimeable number, because it can be changed into a prime (14156884009) 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, 159886 + ... + 232114.

Almost surely, 214156884000 is an apocalyptic number.

14156884000 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 14156884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20231478540).

14156884000 is an abundant number, since it is smaller than the sum of its proper divisors (26306073080).

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

14156884000 is an equidigital number, since it uses as much as digits as its factorization.

14156884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72268 (or 72243 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 14156884000 in words is "fourteen billion, one hundred fifty-six million, eight hundred eighty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 72229 98000 144458 196000 288916 361145 505603 577832 722290 1011206 1155664 1444580 1805725 2022412 2311328 2528015 2889160 3539221 3611450 4044824 5056030 5778320 7078442 7222900 8089648 9028625 10112060 11556640 12640075 14156884 14445800 16179296 17696105 18057250 20224120 25280150 28313768 28891600 35392210 36114500 40448240 50560300 56627536 57783200 63200375 70784420 72229000 80896480 88480525 101120600 113255072 126400750 141568840 144458000 176961050 202241200 252801500 283137680 288916000 353922100 404482400 442402625 505603000 566275360 707844200 884805250 1011206000 1415688400 1769610500 2022412000 2831376800 3539221000 7078442000 14156884000