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144240324341442 = 23779107406281017
BaseRepresentation
bin100000110010111110010001…
…010010110110111011000010
3200220201020111012120201100020
4200302332101102312323002
5122401213141012411232
61230435031253434310
742245006462346660
oct4062762122667302
9626636435521306
10144240324341442
1141a60a8383162a
12142168a893b996
136263a5bb4bb64
1427893a9dc7c30
1511a204db1de2c
hex832f914b6ec2

144240324341442 has 64 divisors (see below), whose sum is σ = 336985727569920. Its totient is φ = 40309577283456.

The previous prime is 144240324341441. The next prime is 144240324341459. The reversal of 144240324341442 is 244143423042441.

It is a super-2 number, since 2×1442403243414422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 144240324341394 and 144240324341403.

It is not an unprimeable number, because it can be changed into a prime (144240324341441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202785483 + ... + 203495534.

It is an arithmetic number, because the mean of its divisors is an integer number (5265401993280).

Almost surely, 2144240324341442 is an apocalyptic number.

144240324341442 is an abundant number, since it is smaller than the sum of its proper divisors (192745403228478).

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

144240324341442 is a wasteful number, since it uses less digits than its factorization.

144240324341442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406281215.

The product of its (nonzero) digits is 1179648, while the sum is 42.

Adding to 144240324341442 its reverse (244143423042441), we get a palindrome (388383747383883).

The spelling of 144240324341442 in words is "one hundred forty-four trillion, two hundred forty billion, three hundred twenty-four million, three hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 79 107 158 214 237 321 474 553 642 749 1106 1498 1659 2247 3318 4494 8453 16906 25359 50718 59171 118342 177513 355026 406281017 812562034 1218843051 2437686102 2843967119 5687934238 8531901357 17063802714 32096200343 43472068819 64192400686 86944137638 96288601029 130416206457 192577202058 224673402401 260832412914 304304481733 449346804802 608608963466 674020207203 912913445199 1348040414406 1825826890398 3434293436701 6868586873402 10302880310103 20605760620206 24040054056907 48080108113814 72120162170721 144240324341442