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14101441332330 = 23511733591630543
BaseRepresentation
bin1100110100110011111101…
…1001101100010001101010
31211221002021200200120021010
43031030333121230101222
53322014222440113310
645554040202524350
72653536601426122
oct315147731542152
954832250616233
1014101441332330
11454742a010030
1216b8b542066b6
137b39b6254251
1436a728abdc82
15196c26944320
hexcd33f66c46a

14101441332330 has 128 divisors (see below), whose sum is σ = 37530166026240. Its totient is φ = 3362308047360.

The previous prime is 14101441332323. The next prime is 14101441332397. The reversal of 14101441332330 is 3323314410141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7833039 + ... + 9463581.

It is an arithmetic number, because the mean of its divisors is an integer number (293204422080).

Almost surely, 214101441332330 is an apocalyptic number.

14101441332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14101441332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18765083013120).

14101441332330 is an abundant number, since it is smaller than the sum of its proper divisors (23428724693910).

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

14101441332330 is a wasteful number, since it uses less digits than its factorization.

14101441332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630996.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 14101441332330 its reverse (3323314410141), we get a palindrome (17424755742471).

The spelling of 14101441332330 in words is "fourteen trillion, one hundred one billion, four hundred forty-one million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 359 365 438 718 730 803 1077 1095 1606 1795 2154 2190 2409 3590 3949 4015 4818 5385 7898 8030 10770 11847 12045 19745 23694 24090 26207 39490 52414 59235 78621 118470 131035 157242 262070 288277 393105 576554 786210 864831 1441385 1630543 1729662 2882770 3261086 4324155 4891629 8152715 8648310 9783258 16305430 17935973 24458145 35871946 48916290 53807919 89679865 107615838 119029639 179359730 238059278 269039595 357088917 538079190 585364937 595148195 714177834 1170729874 1190296390 1309326029 1756094811 1785444585 2618652058 2926824685 3512189622 3570889170 3927978087 5853649370 6439014307 6546630145 7855956174 8780474055 12878028614 13093260290 17560948110 19317042921 19639890435 32195071535 38634085842 39279780870 42731640401 64390143070 85463280802 96585214605 128194921203 193170429210 213658202005 256389842406 427316404010 470048044411 640974606015 940096088822 1281949212030 1410144133233 2350240222055 2820288266466 4700480444110 7050720666165 14101441332330