Search a number
-
+
243004325321040 = 24351012518022171
BaseRepresentation
bin110111010000001011011010…
…011111010101100101010000
31011212101222122020200102100120
4313100023122133111211100
5223322340324240233130
62220454351303550240
7102120324500302023
oct6720133237254520
91155358566612316
10243004325321040
1170479612596888
1223307a48a5b380
13a5792955000aa
1444016876311ba
151d161780d6910
hexdd02da7d5950

243004325321040 has 40 divisors (see below), whose sum is σ = 753313408495968. Its totient is φ = 64801153418880.

The previous prime is 243004325321003. The next prime is 243004325321063. The reversal of 243004325321040 is 40123523400342.

243004325321040 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 (40).

It is a super-2 number, since 2×2430043253210402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243004325320992 and 243004325321010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506259010846 + ... + 506259011325.

Almost surely, 2243004325321040 is an apocalyptic number.

243004325321040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243004325321040 is an abundant number, since it is smaller than the sum of its proper divisors (510309083174928).

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

243004325321040 is a wasteful number, since it uses less digits than its factorization.

243004325321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012518022187 (or 1012518022181 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 243004325321040 its reverse (40123523400342), we get a palindrome (283127848721382).

The spelling of 243004325321040 in words is "two hundred forty-three trillion, four billion, three hundred twenty-five million, three hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1012518022171 2025036044342 3037554066513 4050072088684 5062590110855 6075108133026 8100144177368 10125180221710 12150216266052 15187770332565 16200288354736 20250360443420 24300432532104 30375540665130 40500720886840 48600865064208 60751081330260 81001441773680 121502162660520 243004325321040