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300234955969 = 13211323732
BaseRepresentation
bin1000101111001110110…
…01011101110011000001
31001200221220001000202001
410113213121131303001
514404340122042334
6345532005024001
730456050006224
oct4274731356301
91050856030661
10300234955969
11106368895193
124a2300b5001
1322409704900
14107624235bb
157c23120714
hex45e765dcc1

300234955969 has 27 divisors (see below), whose sum is σ = 328890738267. Its totient is φ = 273950966016.

The previous prime is 300234955967. The next prime is 300234955987. The reversal of 300234955969 is 969559432003.

It is a happy number.

The square root of 300234955969 is 547937.

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

It can be written as a sum of positive squares in 13 ways, for example, as 286712057025 + 13522898944 = 535455^2 + 116288^2 .

It is not a de Polignac number, because 300234955969 - 21 = 300234955967 is a prime.

It is a super-2 number, since 2×3002349559692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (300234955963) 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, 804919267 + ... + 804919639.

Almost surely, 2300234955969 is an apocalyptic number.

300234955969 is the 547937-th square number.

300234955969 is the 273969-th centered octagonal number.

It is an amenable number.

300234955969 is a deficient number, since it is larger than the sum of its proper divisors (28655782298).

300234955969 is an frugal number, since it uses more digits than its factorization.

300234955969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 55.

The spelling of 300234955969 in words is "three hundred billion, two hundred thirty-four million, nine hundred fifty-five thousand, nine hundred sixty-nine".

Divisors: 1 13 113 169 373 1469 4849 12769 19097 42149 63037 139129 165997 547937 1808677 2157961 4762837 7123181 15721577 23512801 61916881 204380501 804919453 1776538201 2656946513 23094996613 300234955969