Search a number
-
+
13403411424 = 25321310334757
BaseRepresentation
bin11000111101110011…
…11101001111100000
31021121002212211220100
430132321331033200
5204422233131144
610054001342400
7653102055144
oct143671751740
937532784810
1013403411424
115758970427
122720937a00
131357b38ca0
1491217b224
15536a8b269
hex31ee7d3e0

13403411424 has 144 divisors (see below), whose sum is σ = 41447663712. Its totient is φ = 4083969024.

The previous prime is 13403411423. The next prime is 13403411501. The reversal of 13403411424 is 42411430431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403411423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368254 + ... + 403010.

It is an arithmetic number, because the mean of its divisors is an integer number (287830998).

Almost surely, 213403411424 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 13403411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20723831856).

13403411424 is an abundant number, since it is smaller than the sum of its proper divisors (28044252288).

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

13403411424 is a wasteful number, since it uses less digits than its factorization.

13403411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34889 (or 34878 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13403411424 its reverse (42411430431), we get a palindrome (55814841855).

The spelling of 13403411424 in words is "thirteen billion, four hundred three million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 103 104 117 144 156 206 208 234 288 309 312 412 416 468 618 624 824 927 936 1236 1248 1339 1648 1854 1872 2472 2678 3296 3708 3744 4017 4944 5356 7416 8034 9888 10712 12051 14832 16068 21424 24102 29664 32136 34757 42848 48204 64272 69514 96408 104271 128544 139028 192816 208542 278056 312813 385632 417084 451841 556112 625626 834168 903682 1112224 1251252 1355523 1668336 1807364 2502504 2711046 3336672 3579971 3614728 4066569 5005008 5422092 7159942 7229456 8133138 10010016 10739913 10844184 14319884 14458912 16266276 21479826 21688368 28639768 32219739 32532552 42959652 43376736 46539623 57279536 64439478 65065104 85919304 93079246 114559072 128878956 130130208 139618869 171838608 186158492 257757912 279237738 343677216 372316984 418856607 515515824 558475476 744633968 837713214 1031031648 1116950952 1489267936 1675426428 2233901904 3350852856 4467803808 6701705712 13403411424