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13043041152 = 273671094651
BaseRepresentation
bin11000010010110110…
…10000001110000000
31020122222210010211020
430021123100032000
5203203004304102
65554125345440
7641135010021
oct141133201600
936588703736
1013043041152
115593502959
122640108280
1312cb29183b
148ba370c48
15515104bbc
hex3096d0380

13043041152 has 128 divisors (see below), whose sum is σ = 35492899200. Its totient is φ = 4242585600.

The previous prime is 13043041139. The next prime is 13043041163. The reversal of 13043041152 is 25114034031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2802027 + ... + 2806677.

It is an arithmetic number, because the mean of its divisors is an integer number (277288275).

Almost surely, 213043041152 is an apocalyptic number.

13043041152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13043041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746449600).

13043041152 is an abundant number, since it is smaller than the sum of its proper divisors (22449858048).

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

13043041152 is a wasteful number, since it uses less digits than its factorization.

13043041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13043041152 its reverse (25114034031), we get a palindrome (38157075183).

The spelling of 13043041152 in words is "thirteen billion, forty-three million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 109 128 134 192 201 218 268 327 384 402 436 536 654 804 872 1072 1308 1608 1744 2144 2616 3216 3488 4288 4651 5232 6432 6976 7303 8576 9302 10464 12864 13952 13953 14606 18604 20928 21909 25728 27906 29212 37208 41856 43818 55812 58424 74416 87636 111624 116848 148832 175272 223248 233696 297664 311617 350544 446496 467392 506959 595328 623234 701088 892992 934784 934851 1013918 1246468 1402176 1520877 1785984 1869702 2027836 2492936 2804352 3041754 3739404 4055672 4985872 6083508 7478808 8111344 9971744 12167016 14957616 16222688 19943488 24334032 29915232 32445376 33966253 39886976 48668064 59830464 64890752 67932506 97336128 101898759 119660928 135865012 194672256 203797518 271730024 407595036 543460048 815190072 1086920096 1630380144 2173840192 3260760288 4347680384 6521520576 13043041152