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1830335141 = 17121788469
BaseRepresentation
bin110110100011000…
…1011001010100101
311201120002122210102
41231012023022211
512222031211031
6501342233445
763233410025
oct15506131245
94646078712
101830335141
1185a1a3978
12430b85885
1323228175b
14135131a85
15aaa4b7cb
hex6d18b2a5

1830335141 has 8 divisors (see below), whose sum is σ = 1939616280. Its totient is φ = 1721233408.

The previous prime is 1830335137. The next prime is 1830335149. The reversal of 1830335141 is 1415330381.

It can be written as a sum of positive squares in 4 ways, for example, as 798062500 + 1032272641 = 28250^2 + 32129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1830335141 - 22 = 1830335137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830335149) 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, 23546 + ... + 64923.

It is an arithmetic number, because the mean of its divisors is an integer number (242452035).

Almost surely, 21830335141 is an apocalyptic number.

It is an amenable number.

1830335141 is a deficient number, since it is larger than the sum of its proper divisors (109281139).

1830335141 is a wasteful number, since it uses less digits than its factorization.

1830335141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89703.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1830335141 is about 42782.4162594868. The cubic root of 1830335141 is about 1223.2358648909.

The spelling of 1830335141 in words is "one billion, eight hundred thirty million, three hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 17 1217 20689 88469 1503973 107666773 1830335141