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5303440405344 = 253101863633803
BaseRepresentation
bin100110100101100110110…
…1011100111001101100000
3200210000002212202212001110
41031023031223213031200
51143342421220432334
615140211125303320
71055106124436004
oct115131553471540
920700085685043
105303440405344
1117651a3937264
12717a13564b40
132c615c8c4b83
1414498b7b2704
1592e4be69ae9
hex4d2cdae7360

5303440405344 has 96 divisors (see below), whose sum is σ = 14075681485824. Its totient is φ = 1748279436800.

The previous prime is 5303440405321. The next prime is 5303440405349. The reversal of 5303440405344 is 4435040443035.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×53034404053443 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303440405349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8050747 + ... + 8684549.

It is an arithmetic number, because the mean of its divisors is an integer number (146621682144).

Almost surely, 25303440405344 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 5303440405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037840742912).

5303440405344 is an abundant number, since it is smaller than the sum of its proper divisors (8772241080480).

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

5303440405344 is a wasteful number, since it uses less digits than its factorization.

5303440405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634780 (or 634772 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 39.

Adding to 5303440405344 its reverse (4435040443035), we get a palindrome (9738480848379).

The spelling of 5303440405344 in words is "five trillion, three hundred three billion, four hundred forty million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 863 1212 1616 1726 2424 2589 3232 3452 4848 5178 6904 9696 10356 13808 20712 27616 41424 82848 87163 174326 261489 348652 522978 633803 697304 1045956 1267606 1394608 1901409 2091912 2535212 2789216 3802818 4183824 5070424 7605636 8367648 10140848 15211272 20281696 30422544 60845088 64014103 128028206 192042309 256056412 384084618 512112824 546971989 768169236 1024225648 1093943978 1536338472 1640915967 2048451296 2187887956 3072676944 3281831934 4375775912 6145353888 6563663868 8751551824 13127327736 17503103648 26254655472 52509310944 55244170889 110488341778 165732512667 220976683556 331465025334 441953367112 662930050668 883906734224 1325860101336 1767813468448 2651720202672 5303440405344