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1442102321244 = 2231337263949979
BaseRepresentation
bin10100111111000011111…
…111110010000001011100
312002212022120221022120010
4110333003333302001130
5142111411143234434
63022254225323220
7206121432323214
oct24770377620134
95085276838503
101442102321244
1150665718a402
121b35a5196510
13a5cb33aa9b0
144db260a9244
15277a44bb9e9
hex14fc3ff205c

1442102321244 has 96 divisors (see below), whose sum is σ = 3735838149120. Its totient is φ = 430089239808.

The previous prime is 1442102321161. The next prime is 1442102321251. The reversal of 1442102321244 is 4421232012441.

It is a congruent number.

It is an unprimeable number.

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, 1043047 + ... + 1993025.

It is an arithmetic number, because the mean of its divisors is an integer number (38914980720).

Almost surely, 21442102321244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442102321244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867919074560).

1442102321244 is an abundant number, since it is smaller than the sum of its proper divisors (2293735827876).

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

1442102321244 is a wasteful number, since it uses less digits than its factorization.

1442102321244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950299 (or 950297 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1442102321244 its reverse (4421232012441), we get a palindrome (5863334333685).

The spelling of 1442102321244 in words is "one trillion, four hundred forty-two billion, one hundred two million, three hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 263 444 481 526 789 962 1052 1443 1578 1924 2886 3156 3419 5772 6838 9731 10257 13676 19462 20514 29193 38924 41028 58386 116772 126503 253006 379509 506012 759018 949979 1518036 1899958 2849937 3799916 5699874 11399748 12349727 24699454 35149223 37049181 49398908 70298446 74098362 105447669 140596892 148196724 210895338 249844477 421790676 456939899 499688954 749533431 913879798 999377908 1370819697 1499066862 1827759596 2741639394 2998133724 3247978201 5483278788 6495956402 9244245649 9743934603 12991912804 18488491298 19487869206 27732736947 36976982596 38975738412 55465473894 110930947788 120175193437 240350386874 360525580311 480700773748 721051160622 1442102321244