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13044000128 = 273725110973
BaseRepresentation
bin11000010010111101…
…11010010110000000
31020200001120212021212
430021132322112000
5203203231001003
65554202105252
7641146112615
oct141136722600
936601525255
1013044000128
115593aa83a5
1226404ab228
1312cb539193
148ba54050c
15515243dd8
hex3097ba580

13044000128 has 64 divisors (see below), whose sum is σ = 26797191120. Its totient is φ = 6319872000.

The previous prime is 13044000127. The next prime is 13044000131. The reversal of 13044000128 is 82100044031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044000127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183250 + ... + 1194222.

Almost surely, 213044000128 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 13044000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398595560).

13044000128 is an abundant number, since it is smaller than the sum of its proper divisors (13753190992).

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

13044000128 is a wasteful number, since it uses less digits than its factorization.

13044000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11263 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13044000128 its reverse (82100044031), we get a palindrome (95144044159).

The spelling of 13044000128 in words is "thirteen billion, forty-four million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 37 64 74 128 148 251 296 502 592 1004 1184 2008 2368 4016 4736 8032 9287 10973 16064 18574 21946 32128 37148 43892 74296 87784 148592 175568 297184 351136 406001 594368 702272 812002 1188736 1404544 1624004 2754223 3248008 5508446 6496016 11016892 12992032 22033784 25984064 44067568 51968128 88135136 101906251 176270272 203812502 352540544 407625004 815250008 1630500016 3261000032 6522000064 13044000128