Search a number
-
+
243124022540 = 225710142140841
BaseRepresentation
bin1110001001101101010…
…0100010110100001100
3212020112201202000021102
43202123110202310030
512440404222210130
6303404543322232
723364561044150
oct3423324426414
9766481660242
10243124022540
1194121199653
123b1518b0378
1319c0768aa89
14baa553b060
1564ce34c645
hex389b522d0c

243124022540 has 96 divisors (see below), whose sum is σ = 590689024128. Its totient is φ = 82333440000.

The previous prime is 243124022467. The next prime is 243124022579. The reversal of 243124022540 is 45220421342.

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 31 ways as a sum of consecutive naturals, for example, 5932520 + ... + 5973360.

It is an arithmetic number, because the mean of its divisors is an integer number (6153010668).

Almost surely, 2243124022540 is an apocalyptic number.

243124022540 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 243124022540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295344512064).

243124022540 is an abundant number, since it is smaller than the sum of its proper divisors (347565001588).

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

243124022540 is a wasteful number, since it uses less digits than its factorization.

243124022540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41379 (or 41377 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 243124022540 its reverse (45220421342), we get a palindrome (288344443882).

The spelling of 243124022540 in words is "two hundred forty-three billion, one hundred twenty-four million, twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 421 505 707 842 1010 1414 1684 2020 2105 2828 2947 3535 4210 5894 7070 8420 11788 14140 14735 29470 40841 42521 58940 81682 85042 163364 170084 204205 212605 285887 297647 408410 425210 571774 595294 816820 850420 1143548 1190588 1429435 1488235 2858870 2976470 4124941 5717740 5952940 8249882 16499764 17194061 20624705 28874587 34388122 41249410 57749174 68776244 82498820 85970305 115498348 120358427 144372935 171940610 240716854 288745870 343881220 481433708 577491740 601792135 1203584270 1736600161 2407168540 3473200322 6946400644 8683000805 12156201127 17366001610 24312402254 34732003220 48624804508 60781005635 121562011270 243124022540