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103147345040 = 2452953436621
BaseRepresentation
bin110000000010000001…
…1111001010010010000
3100212020111221000222112
41200010003321102100
53142221210020130
6115215113324452
710311041652365
oct1400403712220
9325214830875
10103147345040
113a820a95003
1217ba7a06728
13995a8a359c
144dc706046c
152a3a6d6495
hex18040f9490

103147345040 has 40 divisors (see below), whose sum is σ = 239899338168. Its totient is φ = 41244871680.

The previous prime is 103147345039. The next prime is 103147345043. The reversal of 103147345040 is 40543741301.

It can be written as a sum of positive squares in 4 ways, for example, as 4372912384 + 98774432656 = 66128^2 + 314284^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103147344988 and 103147345006.

It is not an unprimeable number, because it can be changed into a prime (103147345043) 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, 17930 + ... + 454550.

Almost surely, 2103147345040 is an apocalyptic number.

103147345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103147345040 is an abundant number, since it is smaller than the sum of its proper divisors (136751993128).

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

103147345040 is a wasteful number, since it uses less digits than its factorization.

103147345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439587 (or 439581 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 103147345040 in words is "one hundred three billion, one hundred forty-seven million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2953 5906 11812 14765 23624 29530 47248 59060 118120 236240 436621 873242 1746484 2183105 3492968 4366210 6985936 8732420 17464840 34929680 1289341813 2578683626 5157367252 6446709065 10314734504 12893418130 20629469008 25786836260 51573672520 103147345040