Search a number
-
+
243232441400 = 235213122376493
BaseRepresentation
bin1110001010000111001…
…0001000010000111000
3212020211021202020222202
43202201302020100320
512441120001111100
6303423415205332
723400345432134
oct3424162102070
9766737666882
10243232441400
1194177410313
123b182076848
1319c23c8b550
14bab5ac03c4
1564d8b167d5
hex38a1c88438

243232441400 has 96 divisors (see below), whose sum is σ = 609522550560. Its totient is φ = 89734295040.

The previous prime is 243232441399. The next prime is 243232441429. The reversal of 243232441400 is 4144232342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3141554 + ... + 3218046.

It is an arithmetic number, because the mean of its divisors is an integer number (6349193235).

Almost surely, 2243232441400 is an apocalyptic number.

243232441400 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 243232441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304761275280).

243232441400 is an abundant number, since it is smaller than the sum of its proper divisors (366290109160).

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

243232441400 is a wasteful number, since it uses less digits than its factorization.

243232441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77745 (or 77736 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 243232441400 its reverse (4144232342), we get a palindrome (247376673742).

The spelling of 243232441400 in words is "two hundred forty-three billion, two hundred thirty-two million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1223 1300 2446 2600 4892 6115 9784 12230 15899 24460 30575 31798 48920 61150 63596 76493 79495 122300 127192 152986 158990 244600 305972 317980 382465 397475 611944 635960 764930 794950 994409 1529860 1589900 1912325 1988818 3059720 3179800 3824650 3977636 4972045 7649300 7955272 9944090 15298600 19888180 24860225 39776360 49720450 93550939 99440900 187101878 198881800 374203756 467754695 748407512 935509390 1216162207 1871018780 2338773475 2432324414 3742037560 4677546950 4864648828 6080811035 9355093900 9729297656 12161622070 18710187800 24323244140 30404055175 48646488280 60808110350 121616220700 243232441400