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10140410000241 = 321930958351661
BaseRepresentation
bin1001001110001111111110…
…0010010011001101110001
31022220102011121102022011200
42103203333202103031301
52312120024430001431
633322235014401413
72064422545555503
oct223437742231561
938812147368150
1010140410000241
11325a5840a3434
121179342960269
1358730c9507c1
14270b26da5d73
15128b96b50ee6
hex938ff893371

10140410000241 has 12 divisors (see below), whose sum is σ = 14648017711860. Its totient is φ = 6759923107680.

The previous prime is 10140410000209. The next prime is 10140410000299. The reversal of 10140410000241 is 14200001404101.

10140410000241 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 410 + 0 + 0 + 0 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6249275021025 + 3891134979216 = 2499855^2 + 1972596^2 .

It is not a de Polignac number, because 10140410000241 - 25 = 10140410000209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10140410000741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29002050 + ... + 29349611.

It is an arithmetic number, because the mean of its divisors is an integer number (1220668142655).

Almost surely, 210140410000241 is an apocalyptic number.

It is an amenable number.

10140410000241 is a deficient number, since it is larger than the sum of its proper divisors (4507607711619).

10140410000241 is a wasteful number, since it uses less digits than its factorization.

10140410000241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58370976 (or 58370973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10140410000241 its reverse (14200001404101), we get a palindrome (24340411404342).

The spelling of 10140410000241 in words is "ten trillion, one hundred forty billion, four hundred ten million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 19309 57927 173781 58351661 175054983 525164949 1126712222249 3380136666747 10140410000241