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45300439921 = 11417592
BaseRepresentation
bin101010001100000111…
…011101101101110001
311022221001202210011011
4222030013131231301
51220233403034141
632451041350521
73162405246262
oct521407355561
9138831683134
1045300439921
1118236a10000
128943038441
13436c234249
14229a518969
1512a1ed7881
hexa8c1ddb71

45300439921 has 15 divisors (see below), whose sum is σ = 49858519305. Its totient is φ = 41158805820.

The previous prime is 45300439853. The next prime is 45300439927. The reversal of 45300439921 is 12993400354.

The square root of 45300439921 is 212839.

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

It is not a de Polignac number, because 45300439921 - 229 = 44763569009 is a prime.

It is a super-2 number, since 2×453004399212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45300439927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25752640 + ... + 25754398.

It is an arithmetic number, because the mean of its divisors is an integer number (3323901287).

Almost surely, 245300439921 is an apocalyptic number.

45300439921 is the 212839-th square number.

45300439921 is the 106420-th centered octagonal number.

It is an amenable number.

45300439921 is a deficient number, since it is larger than the sum of its proper divisors (4558079384).

45300439921 is an frugal number, since it uses more digits than its factorization.

45300439921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 45300439921 in words is "forty-five billion, three hundred million, four hundred thirty-nine thousand, nine hundred twenty-one".

Divisors: 1 11 121 1331 1759 14641 19349 212839 2341229 3094081 25753519 34034891 374383801 4118221811 45300439921