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13341518640 = 2433515434003
BaseRepresentation
bin11000110110011011…
…10110101100110000
31021102210102100222000
430123031312230300
5204310412044030
610043511014000
7651421015542
oct143315665460
937383370860
1013341518640
115726a3746a
12270406a300
131348078638
14907c69692
15531412860
hex31b376b30

13341518640 has 160 divisors (see below), whose sum is σ = 45995389440. Its totient is φ = 3554544384.

The previous prime is 13341518633. The next prime is 13341518647. The reversal of 13341518640 is 4681514331.

13341518640 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 5 + 1 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (13341518633) and next prime (13341518647).

It is a super-3 number, since 3×133415186403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13341518595 and 13341518604.

It is not an unprimeable number, because it can be changed into a prime (13341518647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3330879 + ... + 3334881.

It is an arithmetic number, because the mean of its divisors is an integer number (287471184).

Almost surely, 213341518640 is an apocalyptic number.

13341518640 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 13341518640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997694720).

13341518640 is an abundant number, since it is smaller than the sum of its proper divisors (32653870800).

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

13341518640 is a wasteful number, since it uses less digits than its factorization.

13341518640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13341518640 in words is "thirteen billion, three hundred forty-one million, five hundred eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1543 2160 3086 4003 4629 6172 7715 8006 9258 12009 12344 13887 15430 16012 18516 20015 23145 24018 24688 27774 30860 32024 36027 37032 40030 41661 46290 48036 55548 60045 61720 64048 69435 72054 74064 80060 83322 92580 96072 108081 111096 120090 123440 138870 144108 160120 166644 180135 185160 192144 208305 216162 222192 240180 277740 288216 320240 333288 360270 370320 416610 432324 480360 540405 555480 576432 666576 720540 833220 864648 960720 1080810 1110960 1441080 1666440 1729296 2161620 2882160 3332880 4323240 6176629 8646480 12353258 18529887 24706516 30883145 37059774 49413032 55589661 61766290 74119548 92649435 98826064 111179322 123532580 148239096 166768983 185298870 222358644 247065160 277948305 296478192 333537966 370597740 444717288 494130320 555896610 667075932 741195480 833844915 889434576 1111793220 1334151864 1482390960 1667689830 2223586440 2668303728 3335379660 4447172880 6670759320 13341518640