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144114432230010 = 2351126471007916369
BaseRepresentation
bin100000110001001001000001…
…100010100100001001111010
3200220021012112120100211110110
4200301021001202210021322
5122342132324122330020
61230301131200525150
742232631656145064
oct4061110142441172
9626235476324413
10144114432230010
1141a12650a35a30
12141b64139207b6
136254c18042028
142783266318734
15119db317428e0
hex8312418a427a

144114432230010 has 128 divisors (see below), whose sum is σ = 377520843571200. Its totient is φ = 34918035102720.

The previous prime is 144114432230003. The next prime is 144114432230113. The reversal of 144114432230010 is 10032234411441.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144114432230010.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8804099106 + ... + 8804115474.

It is an arithmetic number, because the mean of its divisors is an integer number (2949381590400).

Almost surely, 2144114432230010 is an apocalyptic number.

144114432230010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144114432230010 is an abundant number, since it is smaller than the sum of its proper divisors (233406411341190).

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

144114432230010 is a wasteful number, since it uses less digits than its factorization.

144114432230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144114432230010 its reverse (10032234411441), we get a palindrome (154146666641451).

The spelling of 144114432230010 in words is "one hundred forty-four trillion, one hundred fourteen billion, four hundred thirty-two million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2647 5294 7941 10079 13235 15882 16369 20158 26470 29117 30237 32738 39705 49107 50395 58234 60474 79410 81845 87351 98214 100790 110869 145585 151185 163690 174702 180059 221738 245535 291170 302370 332607 360118 436755 491070 540177 554345 665214 873510 900295 1080354 1108690 1663035 1800590 2700885 3326070 5401770 26679113 43328743 53358226 80037339 86657486 129986229 133395565 160074678 164983151 216643715 259972458 266791130 293470243 329966302 400186695 433287430 476616173 494949453 586940486 649931145 800373390 824915755 880410729 953232346 989898906 1299862290 1429848519 1467351215 1649831510 1760821458 1814814661 2383080865 2474747265 2859697038 2934702430 3629629322 4402053645 4766161730 4949494530 5444443983 7149242595 8804107290 9074073305 10888887966 14298485190 18148146610 27222219915 54444439830 436710400697 873420801394 1310131202091 2183552003485 2620262404182 4367104006970 4803814407667 6550656010455 9607628815334 13101312020910 14411443223001 24019072038335 28822886446002 48038144076670 72057216115005 144114432230010