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14444918429238 = 23211236135174419
BaseRepresentation
bin1101001000110011100000…
…1110110101011000110110
31220010220212012102221202200
43102030320032311120312
53343131143104213423
650415523125045330
73020416354532163
oct322147016653066
956126765387680
1014444918429238
11466a067969780
121753631b56846
1380a1c46130ab
1437d1d010906a
151a0b2aec0d43
hexd23383b5636

14444918429238 has 96 divisors (see below), whose sum is σ = 35685118460160. Its totient is φ = 4180101837120.

The previous prime is 14444918429213. The next prime is 14444918429321. The reversal of 14444918429238 is 83292481944441.

14444918429238 is a `hidden beast` number, since 1 + 4 + 4 + 449 + 184 + 2 + 9 + 2 + 3 + 8 = 666.

14444918429238 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204393 + ... + 5378811.

It is an arithmetic number, because the mean of its divisors is an integer number (371719983960).

Almost surely, 214444918429238 is an apocalyptic number.

14444918429238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444918429238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17842559230080).

14444918429238 is an abundant number, since it is smaller than the sum of its proper divisors (21240200030922).

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

14444918429238 is a wasteful number, since it uses less digits than its factorization.

14444918429238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175074 (or 5175071 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 14444918429238 in words is "fourteen trillion, four hundred forty-four billion, nine hundred eighteen million, four hundred twenty-nine thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 613 759 1226 1518 1839 2277 3678 4554 5517 6743 11034 13486 14099 20229 28198 40458 42297 60687 84594 121374 126891 155089 253782 310178 465267 930534 1395801 2791602 5174419 10348838 15523257 31046514 46569771 56918609 93139542 113837218 119011637 170755827 238023274 341511654 357034911 512267481 714069822 1024534962 1071104733 1309128007 2142209466 2618256014 3171918847 3927384021 6343837694 7854768042 9515756541 11782152063 19031513082 23564304126 28547269623 34891107317 57094539246 69782214634 72954133481 104673321951 145908266962 209346643902 218862400443 314019965853 437724800886 628039931706 656587201329 802495468291 1313174402658 1604990936582 2407486404873 4814972809746 7222459214619 14444918429238