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13104411330440 = 23517109176799937
BaseRepresentation
bin1011111010110001101111…
…0010000100011110001000
31201101202202221211200021002
42332230123302010132020
53204200313300033230
643512030005434132
72521522346305523
oct276543362043610
951352687750232
1013104411330440
1141a2605623731
121577880a0b948
13740982397151
14334384cadbba
1517ad20ce7545
hexbeb1bc84788

13104411330440 has 64 divisors (see below), whose sum is σ = 31505748951600. Its totient is φ = 4888164630528.

The previous prime is 13104411330431. The next prime is 13104411330449. The reversal of 13104411330440 is 4403311440131.

13104411330440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13104411330431) and next prime (13104411330449).

It can be written as a sum of positive squares in 8 ways, for example, as 6801570112324 + 6302841218116 = 2607982^2 + 2510546^2 .

It is not an unprimeable number, because it can be changed into a prime (13104411330449) 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, 88325849 + ... + 88474088.

Almost surely, 213104411330440 is an apocalyptic number.

13104411330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104411330440 is an abundant number, since it is smaller than the sum of its proper divisors (18401337621160).

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

13104411330440 is a wasteful number, since it uses less digits than its factorization.

13104411330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176800074 (or 176800070 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 13104411330440 its reverse (4403311440131), we get a palindrome (17507722770571).

The spelling of 13104411330440 in words is "thirteen trillion, one hundred four billion, four hundred eleven million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 340 436 545 680 872 1090 1853 2180 3706 4360 7412 9265 14824 18530 37060 74120 176799937 353599874 707199748 883999685 1414399496 1767999370 3005598929 3535998740 6011197858 7071997480 12022395716 15027994645 19271193133 24044791432 30055989290 38542386266 60111978580 77084772532 96355965665 120223957160 154169545064 192711931330 327610283261 385423862660 655220566522 770847725320 1310441133044 1638051416305 2620882266088 3276102832610 6552205665220 13104411330440