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744234036100 = 2252862692
BaseRepresentation
bin10101101010001111100…
…11100010101110000100
32122010222221122020212021
422311013303202232010
544143142403123400
61325521342132524
7104524545633622
oct12650763425604
92563887566767
10744234036100
1126769a790725
121002a2581144
13552477842b9
1428041d48512
151455c64371a
hexad47ce2b84

744234036100 has 27 divisors (see below), whose sum is σ = 1615006578927. Its totient is φ = 297690163680.

The previous prime is 744234036097. The next prime is 744234036127. The reversal of 744234036100 is 1630432447.

The square root of 744234036100 is 862690.

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

744234036100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 186929981316 + 557304054784 = 432354^2 + 746528^2 .

It is a super-2 number, since 2×7442340361002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8583766 + ... + 8670034.

Almost surely, 2744234036100 is an apocalyptic number.

744234036100 is the 862690-th square number.

It is an amenable number.

744234036100 is an abundant number, since it is smaller than the sum of its proper divisors (870772542827).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

744234036100 is an frugal number, since it uses more digits than its factorization.

744234036100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172552 (or 86276 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

Adding to 744234036100 its reverse (1630432447), we get a palindrome (745864468547).

The spelling of 744234036100 in words is "seven hundred forty-four billion, two hundred thirty-four million, thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 86269 172538 345076 431345 862690 1725380 2156725 4313450 8626900 7442340361 14884680722 29769361444 37211701805 74423403610 148846807220 186058509025 372117018050 744234036100