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234388720544 = 25112161337529
BaseRepresentation
bin1101101001001010101…
…0000000101110100000
3211101222221201200122212
43122102222000232200
512320012003024134
6255402055421252
722635241152326
oct3322252005640
9741887650585
10234388720544
119044935aa00
1239514384828
13191449c8224
14b4b7349d16
15616c509bce
hex3692a80ba0

234388720544 has 72 divisors (see below), whose sum is σ = 507544686180. Its totient is φ = 106471439360.

The previous prime is 234388720537. The next prime is 234388720589. The reversal of 234388720544 is 445027883432.

It can be written as a sum of positive squares in 2 ways, for example, as 220535430544 + 13853290000 = 469612^2 + 117700^2 .

It is a junction number, because it is equal to n+sod(n) for n = 234388720492 and 234388720501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6226772 + ... + 6264300.

Almost surely, 2234388720544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234388720544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253772343090).

234388720544 is an abundant number, since it is smaller than the sum of its proper divisors (273155965636).

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

234388720544 is a wasteful number, since it uses less digits than its factorization.

234388720544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39174 (or 39155 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 50.

The spelling of 234388720544 in words is "two hundred thirty-four billion, three hundred eighty-eight million, seven hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1613 1936 3226 3872 6452 12904 17743 25808 35486 37529 51616 70972 75058 141944 150116 195173 283888 300232 390346 412819 567776 600464 780692 825638 1200928 1561384 1651276 3122768 3302552 4541009 6245536 6605104 9082018 13210208 18164036 36328072 60534277 72656144 121068554 145312288 242137108 484274216 665877047 968548432 1331754094 1937096864 2663508188 5327016376 7324647517 10654032752 14649295034 21308065504 29298590068 58597180136 117194360272 234388720544