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1002440240340 = 2235711216978407
BaseRepresentation
bin11101001011001100001…
…10000010110011010100
310112211110210011110220220
432211212012002303110
5112410444200142330
62044303101154340
7132265255311240
oct16454606026324
93484423143826
101002440240340
11357150422650
1214234325b9b0
13736b6a03536
143673857d420
151b120ada710
hexe966182cd4

1002440240340 has 96 divisors (see below), whose sum is σ = 3499427764224. Its totient is φ = 208299269760.

The previous prime is 1002440240323. The next prime is 1002440240341. The reversal of 1002440240340 is 430420442001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002440240340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002440240341) 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, 108484584 + ... + 108493823.

It is an arithmetic number, because the mean of its divisors is an integer number (36452372544).

Almost surely, 21002440240340 is an apocalyptic number.

1002440240340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002440240340 is an abundant number, since it is smaller than the sum of its proper divisors (2496987523884).

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

1002440240340 is a wasteful number, since it uses less digits than its factorization.

1002440240340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216978437 (or 216978435 counting only the distinct ones).

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

Adding to 1002440240340 its reverse (430420442001), we get a palindrome (1432860682341).

The spelling of 1002440240340 in words is "one trillion, two billion, four hundred forty million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 216978407 433956814 650935221 867913628 1084892035 1301870442 1518848849 2169784070 2386762477 2603740884 3037697698 3254676105 4339568140 4556546547 4773524954 6075395396 6509352210 7160287431 7594244245 9113093094 9547049908 11933812385 13018704420 14320574862 15188488490 16707337339 18226186188 22782732735 23867624770 28641149724 30376976980 33414674678 35801437155 45565465470 47735249540 50122012017 66829349356 71602874310 83536686695 91130930940 100244024034 143205748620 167073373390 200488048068 250610060085 334146746780 501220120170 1002440240340