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5340003311244 = 22371671987191579
BaseRepresentation
bin100110110110101000100…
…0000000001111010001100
3200220111111000022220211110
41031231101000001322030
51144442311321424434
615205055203252020
71060542155136210
oct115552100017214
920814430286743
105340003311244
111779756723668
12722b1837a010
132c9738864634
141466596b8940
1593d8bd1d4e9
hex4db51001e8c

5340003311244 has 96 divisors (see below), whose sum is σ = 14332562657280. Its totient is φ = 1515808049472.

The previous prime is 5340003311239. The next prime is 5340003311249. The reversal of 5340003311244 is 4421133000435.

It is an interprime number because it is at equal distance from previous prime (5340003311239) and next prime (5340003311249).

It is not an unprimeable number, because it can be changed into a prime (5340003311249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27777847 + ... + 27969425.

It is an arithmetic number, because the mean of its divisors is an integer number (149297527680).

Almost surely, 25340003311244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340003311244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166281328640).

5340003311244 is an abundant number, since it is smaller than the sum of its proper divisors (8992559346036).

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

5340003311244 is a wasteful number, since it uses less digits than its factorization.

5340003311244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193747 (or 193745 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 5340003311244 its reverse (4421133000435), we get a palindrome (9761136311679).

The spelling of 5340003311244 in words is "five trillion, three hundred forty billion, three million, three hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 1987 2004 2338 3507 3974 4676 5961 7014 7948 11922 13909 14028 23844 27818 41727 55636 83454 166908 191579 331829 383158 574737 663658 766316 995487 1149474 1327316 1341053 1990974 2298948 2322803 2682106 3981948 4023159 4645606 5364212 6968409 8046318 9291212 13936818 16092636 27873636 31993693 63987386 95981079 127974772 191962158 223955851 380667473 383924316 447911702 671867553 761334946 895823404 1142002419 1343735106 1522669892 2284004838 2664672311 2687470212 4568009676 5329344622 7994016933 10658689244 15988033866 31976067732 63571467991 127142935982 190714403973 254285871964 381428807946 445000275937 762857615892 890000551874 1335000827811 1780001103748 2670001655622 5340003311244