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13503445001040 = 243556264354171
BaseRepresentation
bin1100010010000000010000…
…0010101110001101010000
31202210220202022002102112010
43010200010002232031100
53232220023410013130
644415221430102520
72562406645452621
oct304400402561520
952726668072463
1013503445001040
11433686273a495
1216210844aaa40
1376c4a5756c37
143497da9aba48
151863c79610b0
hexc48040ae350

13503445001040 has 40 divisors (see below), whose sum is σ = 41860679503968. Its totient is φ = 3600918666880.

The previous prime is 13503445000949. The next prime is 13503445001041. The reversal of 13503445001040 is 4010054430531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×135034450010402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13503445000989 and 13503445001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13503445001041) 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, 28132176846 + ... + 28132177325.

Almost surely, 213503445001040 is an apocalyptic number.

13503445001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13503445001040 is an abundant number, since it is smaller than the sum of its proper divisors (28357234502928).

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

13503445001040 is a wasteful number, since it uses less digits than its factorization.

13503445001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56264354187 (or 56264354181 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13503445001040 its reverse (4010054430531), we get a palindrome (17513499431571).

The spelling of 13503445001040 in words is "thirteen trillion, five hundred three billion, four hundred forty-five million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 56264354171 112528708342 168793062513 225057416684 281321770855 337586125026 450114833368 562643541710 675172250052 843965312565 900229666736 1125287083420 1350344500104 1687930625130 2250574166840 2700689000208 3375861250260 4501148333680 6751722500520 13503445001040