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14444302000 = 245343533169
BaseRepresentation
bin11010111001111001…
…01000111010110000
31101021122111120100011
431130330220322300
5214040220131000
610345143304304
71020641353432
oct153474507260
941248446304
1014444302000
116142482977
12297144b094
13149269217b
149b04d0652
155981482ba
hex35cf28eb0

14444302000 has 160 divisors (see below), whose sum is σ = 36424365120. Its totient is φ = 5535129600.

The previous prime is 14444301973. The next prime is 14444302007. The reversal of 14444302000 is 20344441.

It is not an unprimeable number, because it can be changed into a prime (14444302007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4556416 + ... + 4559584.

It is an arithmetic number, because the mean of its divisors is an integer number (227652282).

Almost surely, 214444302000 is an apocalyptic number.

14444302000 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 14444302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18212182560).

14444302000 is an abundant number, since it is smaller than the sum of its proper divisors (21980063120).

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

14444302000 is a wasteful number, since it uses less digits than its factorization.

14444302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 14444302000 its reverse (20344441), we get a palindrome (14464646441).

The spelling of 14444302000 in words is "fourteen billion, four hundred forty-four million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 53 80 86 100 106 125 172 200 212 215 250 265 344 400 424 430 500 530 688 848 860 1000 1060 1075 1325 1720 2000 2120 2150 2279 2650 3169 3440 4240 4300 4558 5300 5375 6338 6625 8600 9116 10600 10750 11395 12676 13250 15845 17200 18232 21200 21500 22790 25352 26500 31690 36464 43000 45580 50704 53000 56975 63380 79225 86000 91160 106000 113950 126760 136267 158450 167957 182320 227900 253520 272534 284875 316900 335914 396125 455800 545068 569750 633800 671828 681335 792250 839785 911600 1090136 1139500 1267600 1343656 1362670 1584500 1679570 2180272 2279000 2687312 2725340 3169000 3359140 3406675 4198925 4558000 5450680 6338000 6718280 6813350 7222151 8397850 10901360 13436560 13626700 14444302 16795700 17033375 20994625 27253400 28888604 33591400 34066750 36110755 41989250 54506800 57777208 67182800 68133500 72221510 83978500 115554416 136267000 144443020 167957000 180553775 272534000 288886040 335914000 361107550 577772080 722215100 902768875 1444430200 1805537750 2888860400 3611075500 7222151000 14444302000