Search a number
-
+
234500774544 = 2433628786341
BaseRepresentation
bin1101101001100101010…
…1011101101010010000
3211102021202120121212000
43122121111131222100
512320224144241134
6255421141234000
722641101460351
oct3323125355220
9742252517760
10234500774544
11904a6634813
1239545a02900
1319161c9c47a
14b4c8197d28
156177290e99
hex369955da90

234500774544 has 80 divisors (see below), whose sum is σ = 673218935040. Its totient is φ = 78153586560.

The previous prime is 234500774539. The next prime is 234500774591. The reversal of 234500774544 is 445477005432.

234500774544 is a `hidden beast` number, since 2 + 34 + 5 + 0 + 0 + 7 + 74 + 544 = 666.

234500774544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2345007745442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234500774544.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2672814 + ... + 2759154.

It is an arithmetic number, because the mean of its divisors is an integer number (8415236688).

Almost surely, 2234500774544 is an apocalyptic number.

234500774544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234500774544 is an abundant number, since it is smaller than the sum of its proper divisors (438718160496).

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

234500774544 is a wasteful number, since it uses less digits than its factorization.

234500774544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92645 (or 92633 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

Adding to 234500774544 its reverse (445477005432), we get a palindrome (679977779976).

The spelling of 234500774544 in words is "two hundred thirty-four billion, five hundred million, seven hundred seventy-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 6287 12574 18861 25148 37722 50296 56583 75444 86341 100592 113166 150888 169749 172682 226332 259023 301776 339498 345364 452664 518046 678996 690728 777069 905328 1036092 1357992 1381456 1554138 2072184 2331207 2715984 3108276 4144368 4662414 6216552 9324828 12433104 18649656 37299312 542825867 1085651734 1628477601 2171303468 3256955202 4342606936 4885432803 6513910404 8685213872 9770865606 13027820808 14656298409 19541731212 26055641616 29312596818 39083462424 58625193636 78166924848 117250387272 234500774544