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4130413442145 = 345311066330853
BaseRepresentation
bin111100000110101111110…
…100110111010001100001
3112121212022121120222120000
4330012233310313101201
51020133041320122040
612441252530410213
7604261331656134
oct74065764672141
915555277528500
104130413442145
111352775787a21
12568603130969
1323c65b53a093
14103cad6ac21b
157269528a130
hex3c1afd37461

4130413442145 has 80 divisors (see below), whose sum is σ = 7643956564992. Its totient is φ = 2131557275520.

The previous prime is 4130413442143. The next prime is 4130413442167. The reversal of 4130413442145 is 5412443140314.

It is a happy number.

4130413442145 is a `hidden beast` number, since 4 + 1 + 30 + 41 + 3 + 442 + 145 = 666.

It is not a de Polignac number, because 4130413442145 - 21 = 4130413442143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4130413442143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133858539 + ... + 133889391.

Almost surely, 24130413442145 is an apocalyptic number.

4130413442145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4130413442145 is a deficient number, since it is larger than the sum of its proper divisors (3513543122847).

4130413442145 is a wasteful number, since it uses less digits than its factorization.

4130413442145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41564 (or 41555 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4130413442145 its reverse (5412443140314), we get a palindrome (9542856582459).

The spelling of 4130413442145 in words is "four trillion, one hundred thirty billion, four hundred thirteen million, four hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 279 405 465 837 1395 2511 4185 10663 12555 30853 31989 53315 92559 95967 154265 159945 277677 287901 330553 462795 479835 833031 863703 956443 991659 1388385 1439505 1652765 2499093 2869329 2974977 4165155 4318515 4782215 4958295 8607987 8924931 12495465 14346645 14874885 25823961 26774793 43039935 44624655 77471883 129119805 133873965 328985539 387359415 986956617 1644927695 2960869851 4934783085 8882609553 10198551709 14804349255 26647828659 30595655127 44413047765 50992758545 91786965381 133239143295 152978275635 275360896143 458934826905 826082688429 1376804480715 4130413442145