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2041140024240 = 243576463111227
BaseRepresentation
bin11101101100111101011…
…011010001001110110000
321020010112120001121201120
4131230331123101032300
5231420223321233430
64201404202302240
7300316231640502
oct35547533211660
97203476047646
102041140024240
11717708370a19
1228b7057b7980
1311a62b86c195
1470b12617d72
1538164b04610
hex1db3d6d13b0

2041140024240 has 80 divisors (see below), whose sum is σ = 6327673717248. Its totient is φ = 544291994368.

The previous prime is 2041140024221. The next prime is 2041140024269. The reversal of 2041140024240 is 424200411402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2041140024240.

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 15 ways as a sum of consecutive naturals, for example, 18295507 + ... + 18406733.

Almost surely, 22041140024240 is an apocalyptic number.

2041140024240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041140024240 is an abundant number, since it is smaller than the sum of its proper divisors (4286533693008).

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

2041140024240 is a wasteful number, since it uses less digits than its factorization.

2041140024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187706 (or 187700 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2041140024240 its reverse (424200411402), we get a palindrome (2465340435642).

The spelling of 2041140024240 in words is "two trillion, forty-one billion, one hundred forty million, twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 76463 111227 152926 222454 229389 305852 333681 382315 444908 458778 556135 611704 667362 764630 889816 917556 1112270 1146945 1223408 1334724 1529260 1668405 1779632 1835112 2224540 2293890 2669448 3058520 3336810 3670224 4449080 4587780 5338896 6117040 6673620 8898160 9175560 13347240 18351120 26694480 8504750101 17009500202 25514250303 34019000404 42523750505 51028500606 68038000808 85047501010 102057001212 127571251515 136076001616 170095002020 204114002424 255142503030 340190004040 408228004848 510285006060 680380008080 1020570012120 2041140024240