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144312000110031 = 313173132327217201
BaseRepresentation
bin100000110100000001000001…
…100000001101110111001111
3200220222002111102012000120010
4200310001001200031313033
5122403401434012010111
61230532003450124303
742253124615340225
oct4064010140156717
9626862442160503
10144312000110031
1141a89414946416
1214228770a20693
13626a74250a650
14278ca493b8b15
1511a3d463e8aa6
hex83404180ddcf

144312000110031 has 64 divisors (see below), whose sum is σ = 226492156993536. Its totient is φ = 80884306944000.

The previous prime is 144312000110029. The next prime is 144312000110071. The reversal of 144312000110031 is 130011000213441.

It is not a de Polignac number, because 144312000110031 - 21 = 144312000110029 is a prime.

It is a super-2 number, since 2×1443120001100312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144312000110021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664308231 + ... + 664525431.

It is an arithmetic number, because the mean of its divisors is an integer number (3538939953024).

Almost surely, 2144312000110031 is an apocalyptic number.

144312000110031 is a deficient number, since it is larger than the sum of its proper divisors (82180156883505).

144312000110031 is a wasteful number, since it uses less digits than its factorization.

144312000110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249592.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 144312000110031 its reverse (130011000213441), we get a palindrome (274323000323472).

The spelling of 144312000110031 in words is "one hundred forty-four trillion, three hundred twelve billion, one hundred ten thousand, thirty-one".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 663 1209 1581 6851 20553 32327 96981 217201 420251 549559 651603 1002137 1260753 1648677 2823613 3006411 3692417 6733231 7144267 8470839 11077251 13027781 17036329 20199693 21432801 39083343 48001421 51108987 87532003 114464927 144004263 221472277 262596009 343394781 664416831 1488044051 4464132153 7021456727 21064370181 91278937451 119364764359 217665158537 273836812353 358094293077 652995475611 1551741936667 2829647060981 3700307695129 4655225810001 8488941182943 11100923085387 48104000036677 144312000110031