Search a number
-
+
53336144326344 = 233112411441158171
BaseRepresentation
bin11000010000010010010011…
…11011111010111011001000
320222211212220121021120220120
430020021021323322323020
523442324410421420334
6305234141512223240
714143260243334365
oct1410111173727310
9228755817246816
1053336144326344
1115aa3806002450
125b94a9a99ab20
13239b7663a5c19
14d256a9b0946c
156275decd2949
hex308249efaec8

53336144326344 has 128 divisors (see below), whose sum is σ = 146078436303360. Its totient is φ = 16094010240000.

The previous prime is 53336144326337. The next prime is 53336144326349. The reversal of 53336144326344 is 44362344163335.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (53336144326349) 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, 916856379 + ... + 916914549.

It is an arithmetic number, because the mean of its divisors is an integer number (1141237783620).

Almost surely, 253336144326344 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 53336144326344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73039218151680).

53336144326344 is an abundant number, since it is smaller than the sum of its proper divisors (92742291977016).

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

53336144326344 is a wasteful number, since it uses less digits than its factorization.

53336144326344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72843 (or 72839 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 51.

Adding to 53336144326344 its reverse (44362344163335), we get a palindrome (97698488489679).

The spelling of 53336144326344 in words is "fifty-three trillion, three hundred thirty-six billion, one hundred forty-four million, three hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 482 723 964 1446 1928 2651 2892 5302 5784 7953 10604 14411 15906 21208 28822 31812 43233 57644 58171 63624 86466 115288 116342 158521 172932 174513 232684 317042 345864 349026 465368 475563 634084 639881 698052 951126 1268168 1279762 1396104 1902252 1919643 2559524 3473051 3804504 3839286 5119048 6946102 7678572 10419153 13892204 14019211 15357144 20838306 27784408 28038422 38203561 41676612 42057633 56076844 76407122 83353224 84115266 112153688 114610683 152814244 154211321 168230532 229221366 305628488 308422642 336461064 458442732 462633963 616845284 838302281 916885464 925267926 1233690568 1676604562 1850535852 2514906843 3353209124 3701071704 5029813686 6706418248 9221325091 10059627372 18442650182 20119254744 27663975273 36885300364 55327950546 73770600728 110655901092 202030849721 221311802184 404061699442 606092549163 808123398884 1212185098326 1616246797768 2222339346931 2424370196652 4444678693862 4848740393304 6667018040793 8889357387724 13334036081586 17778714775448 26668072163172 53336144326344