Search a number
-
+
232441104440 = 23543541249797
BaseRepresentation
bin1101100001111010010…
…0011100100000111000
3211012222012221112122002
43120132210130200320
512302014410320230
6254440523320132
722536051534266
oct3303644344070
9735865845562
10232441104440
118a639a42116
1239070080048
1318bc436236c
14b370809436
1560a6543545
hex361e91c838

232441104440 has 64 divisors (see below), whose sum is σ = 536146443360. Its totient is φ = 90645972480.

The previous prime is 232441104437. The next prime is 232441104461. The reversal of 232441104440 is 44401144232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805622 + ... + 1055418.

Almost surely, 2232441104440 is an apocalyptic number.

232441104440 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 232441104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268073221680).

232441104440 is an abundant number, since it is smaller than the sum of its proper divisors (303705338920).

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

232441104440 is a wasteful number, since it uses less digits than its factorization.

232441104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250392 (or 250388 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 232441104440 its reverse (44401144232), we get a palindrome (276842248672).

The spelling of 232441104440 in words is "two hundred thirty-two billion, four hundred forty-one million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 541 860 1082 1720 2164 2705 4328 5410 10820 21640 23263 46526 93052 116315 186104 232630 249797 465260 499594 930520 999188 1248985 1998376 2497970 4995940 9991880 10741271 21482542 42965084 53706355 85930168 107412710 135140177 214825420 270280354 429650840 540560708 675700885 1081121416 1351401770 2702803540 5405607080 5811027611 11622055222 23244110444 29055138055 46488220888 58110276110 116220552220 232441104440