Search a number
-
+
153234544000 = 275319504061
BaseRepresentation
bin1000111010110101111…
…1011001010110000000
3112122112011211101002111
42032231133121112000
510002311020402000
6154221152025104
714033203063456
oct2165537312600
9478464741074
10153234544000
1159a939a5a0a
1225845b32194
13115b0724315
1475b91ac9d6
153ebca52cba
hex23ad7d9580

153234544000 has 128 divisors (see below), whose sum is σ = 401031727200. Its totient is φ = 58067712000.

The previous prime is 153234543947. The next prime is 153234544013. The reversal of 153234544000 is 445432351.

153234544000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 51970 + ... + 556030.

Almost surely, 2153234544000 is an apocalyptic number.

153234544000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153234544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200515863600).

153234544000 is an abundant number, since it is smaller than the sum of its proper divisors (247797183200).

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

153234544000 is an equidigital number, since it uses as much as digits as its factorization.

153234544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504109 (or 504087 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 153234544000 its reverse (445432351), we get a palindrome (153679976351).

The spelling of 153234544000 in words is "one hundred fifty-three billion, two hundred thirty-four million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 640 760 800 950 1000 1216 1520 1600 1900 2000 2375 2432 3040 3200 3800 4000 4750 6080 7600 8000 9500 12160 15200 16000 19000 30400 38000 60800 76000 152000 304000 504061 1008122 2016244 2520305 4032488 5040610 8064976 9577159 10081220 12601525 16129952 19154318 20162440 25203050 32259904 38308636 40324880 47885795 50406100 63007625 64519808 76617272 80649760 95771590 100812200 126015250 153234544 161299520 191543180 201624400 239428975 252030500 306469088 322599040 383086360 403248800 478857950 504061000 612938176 766172720 806497600 957715900 1008122000 1197144875 1225876352 1532345440 1612995200 1915431800 2016244000 2394289750 3064690880 3830863600 4032488000 4788579500 6129381760 7661727200 8064976000 9577159000 15323454400 19154318000 30646908800 38308636000 76617272000 153234544000