Search a number
-
+
2301243324352 = 267127173323339
BaseRepresentation
bin100001011111001100110…
…010100111011111000000
322010222220121022022002021
4201133030302213133000
5300200421242334402
64521102050531224
7325154645340640
oct41371462473700
98128817268067
102301243324352
11807a51955075
12311bb5896b14
13139010b4615b
147d548b9c520
153ecd98d3d37
hex217ccca77c0

2301243324352 has 112 divisors (see below), whose sum is σ = 5263245434880. Its totient is φ = 977874895872.

The previous prime is 2301243324343. The next prime is 2301243324353. The reversal of 2301243324352 is 2534233421032.

2301243324352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301243324353) 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, 98589099 + ... + 98612437.

Almost surely, 22301243324352 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 2301243324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631622717440).

2301243324352 is an abundant number, since it is smaller than the sum of its proper divisors (2962002110528).

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

2301243324352 is a wasteful number, since it uses less digits than its factorization.

2301243324352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25218 (or 25208 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 2301243324352 its reverse (2534233421032), we get a palindrome (4835476745384).

The spelling of 2301243324352 in words is "two trillion, three hundred one billion, two hundred forty-three million, three hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 224 254 448 508 889 1016 1733 1778 2032 3466 3556 4064 6932 7112 8128 12131 13864 14224 23339 24262 27728 28448 46678 48524 55456 56896 93356 97048 110912 163373 186712 194096 220091 326746 373424 388192 440182 653492 746848 776384 880364 1306984 1493696 1540637 1760728 2613968 2964053 3081274 3521456 5227936 5928106 6162548 7042912 10455872 11856212 12325096 14085824 20748371 23712424 24650192 40446487 41496742 47424848 49300384 80892974 82993484 94849696 98600768 161785948 165986968 189699392 283125409 323571896 331973936 566250818 647143792 663947872 1132501636 1294287584 1327895744 2265003272 2588575168 4530006544 5136703849 9060013088 10273407698 18120026176 20546815396 35956926943 41093630792 71913853886 82187261584 143827707772 164374523168 287655415544 328749046336 575310831088 1150621662176 2301243324352