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307105401482929 = 72409261212
BaseRepresentation
bin100010111010011111000110…
…0010111010010111010110001
31111021100222201110101200002101
41011310332030113102322301
5310223103330234423204
63005054135045220401
7121454430065532400
oct10564761427227261
91437328643350071
10307105401482929
118994273aa08a45
122a53b101701701
1310248bb860c00a
1455b9da321d637
1525787b25a6ea4
hex1174f8c5d2eb1

307105401482929 has 27 divisors (see below), whose sum is σ = 358179170713281. Its totient is φ = 262546699524480.

The previous prime is 307105401482923. The next prime is 307105401482989. The reversal of 307105401482929 is 929284104501703.

The square root of 307105401482929 is 17524423.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 688778825329 + 306416622657600 = 829927^2 + 17504760^2 .

It is not a de Polignac number, because 307105401482929 - 219 = 307105400958641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 307105401482929.

It is not an unprimeable number, because it can be changed into a prime (307105401482923) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50172419989 + ... + 50172426109.

It is an arithmetic number, because the mean of its divisors is an integer number (13265895211603).

Almost surely, 2307105401482929 is an apocalyptic number.

307105401482929 is the 17524423-rd square number.

307105401482929 is the 8762212-nd centered octagonal number.

It is an amenable number.

307105401482929 is a deficient number, since it is larger than the sum of its proper divisors (51073769230352).

307105401482929 is an frugal number, since it uses more digits than its factorization.

307105401482929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13074 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 307105401482929 in words is "three hundred seven trillion, one hundred five billion, four hundred one million, four hundred eighty-two thousand, nine hundred twenty-nine".

Divisors: 1 7 49 409 2863 6121 20041 42847 167281 299929 1170967 2503489 8196769 17524423 37466641 122670961 262266487 1023927001 1835865409 7167489007 15323856169 50172423049 107266993183 750868952281 6267457173121 43872200211847 307105401482929