Search a number
-
+
243144520000 = 265419319927
BaseRepresentation
bin1110001001110010001…
…0101111000101000000
3212020121011022101111121
43202130202233011000
512440424444120000
6303410554522024
723365230214414
oct3423442570500
9766534271447
10243144520000
11941318196a8
123b158736314
1319c0b9b6755
14baa8154d44
1564d104ab1a
hex389c8af140

243144520000 has 140 divisors (see below), whose sum is σ = 634653970720. Its totient is φ = 92138688000.

The previous prime is 243144519931. The next prime is 243144520001. The reversal of 243144520000 is 25441342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243144520001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 600037 + ... + 919963.

It is an arithmetic number, because the mean of its divisors is an integer number (4533242648).

Almost surely, 2243144520000 is an apocalyptic number.

243144520000 is a gapful number since it is divisible by the number (20) 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 243144520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317326985360).

243144520000 is an abundant number, since it is smaller than the sum of its proper divisors (391509450720).

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

243144520000 is an equidigital number, since it uses as much as digits as its factorization.

243144520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319978 (or 319953 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 243144520000 its reverse (25441342), we get a palindrome (243169961342).

The spelling of 243144520000 in words is "two hundred forty-three billion, one hundred forty-four million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 6080 7600 8000 9500 10000 11875 15200 19000 20000 23750 30400 38000 40000 47500 76000 95000 152000 190000 319927 380000 639854 760000 1279708 1599635 2559416 3199270 5118832 6078613 6398540 7998175 10237664 12157226 12797080 15996350 20475328 24314452 25594160 30393065 31992700 39990875 48628904 51188320 60786130 63985400 79981750 97257808 102376640 121572260 127970800 151965325 159963500 194515616 199954375 243144520 255941600 303930650 319927000 389031232 399908750 486289040 511883200 607861300 639854000 759826625 799817500 972578080 1215722600 1279708000 1519653250 1599635000 1945156160 2431445200 2559416000 3039306500 3199270000 3799133125 4862890400 6078613000 6398540000 7598266250 9725780800 12157226000 12797080000 15196532500 24314452000 30393065000 48628904000 60786130000 121572260000 243144520000