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234107919409 = 721344092
BaseRepresentation
bin1101101000000111101…
…0110101110000110001
3211101021101100111220211
43122001322311300301
512313423111410114
6255314145104121
722625261324200
oct3320172656061
9741241314824
10234107919409
11903148a9951
1239456328041
13190cb790000
14b48bd33237
156152a3e6c4
hex3681eb5c31

234107919409 has 45 divisors (see below), whose sum is σ = 295746052167. Its totient is φ = 184775363136.

The previous prime is 234107919407. The next prime is 234107919421. The reversal of 234107919409 is 904919701432.

The square root of 234107919409 is 483847.

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

234107919409 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 7 ways, for example, as 181904809009 + 52203110400 = 426503^2 + 228480^2 .

It is not a de Polignac number, because 234107919409 - 21 = 234107919407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (234107919403) 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 44 ways as a sum of consecutive naturals, for example, 572390797 + ... + 572391205.

Almost surely, 2234107919409 is an apocalyptic number.

234107919409 is the 483847-th square number.

234107919409 is the 241924-th centered octagonal number.

It is an amenable number.

234107919409 is a deficient number, since it is larger than the sum of its proper divisors (61638132758).

234107919409 is an frugal number, since it uses more digits than its factorization.

234107919409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 234107919409 by its sum of digits (49), we get a square (11471288051041 = 33869292).

234107919409 divided by its sum of digits (49) gives a square (4777712641 = 691212).

The spelling of 234107919409 in words is "two hundred thirty-four billion, one hundred seven million, nine hundred nineteen thousand, four hundred nine".

Divisors: 1 7 13 49 91 169 409 637 1183 2197 2863 5317 8281 15379 20041 28561 37219 69121 107653 167281 199927 260533 483847 898573 1170967 1399489 2174653 3386929 6290011 8196769 11681449 15222571 28270489 44030077 81770143 106557997 197893423 367516357 572391001 1385253961 2572614499 4777712641 18008301493 33443988487 234107919409