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13554241440 = 2535171661059
BaseRepresentation
bin11001001111110010…
…10100111110100000
31021222121200210210020
430213321110332200
5210224341211230
610120550233440
7656613102615
oct144771247640
937877623706
1013554241440
11582601a233
122763355880
13138016890c
1492820050c
15544e31810
hex327e54fa0

13554241440 has 96 divisors (see below), whose sum is σ = 45207408960. Its totient is φ = 3401846784.

The previous prime is 13554241429. The next prime is 13554241447. The reversal of 13554241440 is 4414245531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×135542414402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13554241447) 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, 822370 + ... + 838689.

It is an arithmetic number, because the mean of its divisors is an integer number (470910510).

Almost surely, 213554241440 is an apocalyptic number.

13554241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13554241440 is an abundant number, since it is smaller than the sum of its proper divisors (31653167520).

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

13554241440 is a wasteful number, since it uses less digits than its factorization.

13554241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661094 (or 1661086 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 13554241440 its reverse (4414245531), we get a palindrome (17968486971).

The spelling of 13554241440 in words is "thirteen billion, five hundred fifty-four million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 1661059 3322118 4983177 6644236 8305295 9966354 13288472 16610590 19932708 24915885 26576944 28238003 33221180 39865416 49831770 53153888 56476006 66442360 79730832 84714009 99663540 112952012 132884720 141190015 159461664 169428018 199327080 225904024 265769440 282380030 338856036 398654160 423570045 451808048 564760060 677712072 797308320 847140090 903616096 1129520120 1355424144 1694280180 2259040240 2710848288 3388560360 4518080480 6777120720 13554241440