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1002442034244 = 2237139148757737
BaseRepresentation
bin11101001011001100011…
…00111000110001000100
310112211110220112121200210
432211212030320301010
5112411000130043434
62044303203435420
7132265306462260
oct16454614706104
93484426477623
101002442034244
11357151438412
12142343985b70
13736b71b0c11
14367388c90a0
151b120d41ee9
hexe966338c44

1002442034244 has 96 divisors (see below), whose sum is σ = 2694267555840. Its totient is φ = 284155345152.

The previous prime is 1002442034219. The next prime is 1002442034249. The reversal of 1002442034244 is 4424302442001.

It is not an unprimeable number, because it can be changed into a prime (1002442034249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17333344 + ... + 17391080.

It is an arithmetic number, because the mean of its divisors is an integer number (28065287040).

Almost surely, 21002442034244 is an apocalyptic number.

1002442034244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002442034244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347133777920).

1002442034244 is an abundant number, since it is smaller than the sum of its proper divisors (1691825521596).

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

1002442034244 is a wasteful number, since it uses less digits than its factorization.

1002442034244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59377 (or 59375 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1002442034244 its reverse (4424302442001), we get a palindrome (5426744476245).

The spelling of 1002442034244 in words is "one trillion, two billion, four hundred forty-two million, thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1487 1668 1946 2919 2974 3892 4461 5838 5948 8922 10409 11676 17844 20818 31227 41636 57737 62454 115474 124908 173211 206693 230948 346422 404159 413386 620079 692844 808318 826772 1212477 1240158 1446851 1616636 2424954 2480316 2893702 4340553 4849908 5787404 8025443 8681106 16050886 17362212 24076329 32101772 48152658 56178101 85854919 96305316 112356202 168534303 171709838 224712404 257564757 337068606 343419676 515129514 600984433 674137212 1030259028 1201968866 1802953299 2403937732 3605906598 7211813196 11933833741 23867667482 35801501223 47735334964 71603002446 83536836187 143206004892 167073672374 250610508561 334147344748 501221017122 1002442034244