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1002442004430 = 235293133681253
BaseRepresentation
bin11101001011001100011…
…00110001011111001110
310112211110220111002210120
432211212030301133032
5112411000123120210
62044303203045410
7132265306306326
oct16454614613716
93484426432716
101002442004430
11357151417a79
12142343970866
13736b71a0489
14367388bc286
151b120d38270
hexe9663317ce

1002442004430 has 64 divisors (see below), whose sum is σ = 2496773712960. Its totient is φ = 257275339776.

The previous prime is 1002442004429. The next prime is 1002442004437. The reversal of 1002442004430 is 344002442001.

It is a happy number.

It is a super-2 number, since 2×10024420044302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002442004430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002442004437) 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, 1568317 + ... + 2112936.

It is an arithmetic number, because the mean of its divisors is an integer number (39012089265).

Almost surely, 21002442004430 is an apocalyptic number.

1002442004430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002442004430 is an abundant number, since it is smaller than the sum of its proper divisors (1494331708530).

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

1002442004430 is a wasteful number, since it uses less digits than its factorization.

1002442004430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681605.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1002442004430 its reverse (344002442001), we get a palindrome (1346444446431).

The spelling of 1002442004430 in words is "one trillion, two billion, four hundred forty-two million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 313 435 626 870 939 1565 1878 3130 4695 9077 9390 18154 27231 45385 54462 90770 136155 272310 3681253 7362506 11043759 18406265 22087518 36812530 55218795 106756337 110437590 213512674 320269011 533781685 640538022 1067563370 1152232189 1601345055 2304464378 3202690110 3456696567 5761160945 6913393134 11522321890 17283482835 33414733481 34566965670 66829466962 100244200443 167073667405 200488400886 334147334810 501221002215 1002442004430