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1002144044142 = 2323741103135597
BaseRepresentation
bin11101001010101000111…
…00001001010001101110
310112210201010211011010100
432211110130021101232
5112404342333403032
62044213440451530
7132255030553413
oct16452434112156
93483633734110
101002144044142
11357009206aaa
12142280019ba6
137366a537c07
143670b0ba10a
151b104acd97c
hexe95470946e

1002144044142 has 96 divisors (see below), whose sum is σ = 2286666293184. Its totient is φ = 316775923200.

The previous prime is 1002144044089. The next prime is 1002144044147. The reversal of 1002144044142 is 2414404412001.

It is a happy number.

1002144044142 is a `hidden beast` number, since 1 + 0 + 0 + 214 + 4 + 0 + 441 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002144044147) 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 47 ways as a sum of consecutive naturals, for example, 28134688 + ... + 28170284.

It is an arithmetic number, because the mean of its divisors is an integer number (23819440554).

Almost surely, 21002144044142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002144044142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143333146592).

1002144044142 is an abundant number, since it is smaller than the sum of its proper divisors (1284522249042).

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

1002144044142 is a wasteful number, since it uses less digits than its factorization.

1002144044142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36714 (or 36711 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1002144044142 its reverse (2414404412001), we get a palindrome (3416548456143).

The spelling of 1002144044142 in words is "one trillion, two billion, one hundred forty-four million, forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1031 1517 2062 3034 3093 4551 6186 9102 9279 13653 18558 27306 35597 38147 42271 71194 76294 84542 106791 114441 126813 213582 228882 253626 320373 343323 380439 640746 686646 760878 1317089 1459477 1564027 2634178 2918954 3128054 3951267 4378431 4692081 7902534 8756862 9384162 11853801 13135293 14076243 23707602 26270586 28152486 36700507 54000649 73401014 108001298 110101521 162001947 220203042 324003894 330304563 486005841 660609126 972011682 1357918759 1504720787 2715837518 3009441574 4073756277 4514162361 8147512554 9028324722 12221268831 13542487083 24442537662 27084974166 55674669119 111349338238 167024007357 334048014714 501072022071 1002144044142