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13104440135540 = 22513319029180071
BaseRepresentation
bin1011111010110001110101…
…1111111100111101110100
31201101202211222001010102122
42332230131133330331310
53204200343133314130
643512032515055112
72521523146166435
oct276543537747564
951352758033378
1013104440135540
1141a261a9083a6
12157788a5a1498
137409883412a0
14334388a4b48c
1517ad235d72e5
hexbeb1d7fcf74

13104440135540 has 96 divisors (see below), whose sum is σ = 30595759810560. Its totient is φ = 4681935244800.

The previous prime is 13104440135531. The next prime is 13104440135573. The reversal of 13104440135540 is 4553104440131.

It is a super-2 number, since 2×131044401355402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13104440135540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72683705 + ... + 72863775.

It is an arithmetic number, because the mean of its divisors is an integer number (318705831360).

Almost surely, 213104440135540 is an apocalyptic number.

13104440135540 is a gapful number since it is divisible by the number (10) 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 13104440135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297879905280).

13104440135540 is an abundant number, since it is smaller than the sum of its proper divisors (17491319675020).

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

13104440135540 is a wasteful number, since it uses less digits than its factorization.

13104440135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189153 (or 189151 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 13104440135540 its reverse (4553104440131), we get a palindrome (17657544575671).

The spelling of 13104440135540 in words is "thirteen trillion, one hundred four billion, four hundred forty million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 9029 18058 36116 45145 90290 117377 180071 180580 234754 279899 360142 469508 559798 586885 720284 900355 1119596 1173770 1399495 1800710 2340923 2347540 2798990 3601420 3638687 4681846 5582201 5597980 7277374 9363692 11164402 11704615 14554748 18193435 22328804 23409230 27911005 36386870 46818460 55822010 72568613 72773740 111644020 145137226 290274452 362843065 725686130 1451372260 1625861059 3251722118 6503444236 8129305295 16258610590 21136193767 32517221180 42272387534 50401692829 84544775068 100803385658 105680968835 201606771316 211361937670 252008464145 422723875340 504016928290 655222006777 1008033856580 1310444013554 2620888027108 3276110033885 6552220067770 13104440135540