Search a number
-
+
43651245220240 = 24571943145965393
BaseRepresentation
bin10011110110011010110001…
…11101110010000110010000
312201120000111022222020220211
421323031120331302012100
521210140222234021430
6232501034421013504
712123461356246240
oct1173153075620620
9181500438866824
1043651245220240
11129aa430a39829
124a8baa1854294
131b483aa78c998
14aaca354c7b20
1550a70814272a
hex27b358f72190

43651245220240 has 320 divisors, whose sum is σ = 125019098265600. Its totient is φ = 13839014633472.

The previous prime is 43651245220189. The next prime is 43651245220327. The reversal of 43651245220240 is 4202254215634.

43651245220240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×436512452202403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 43651245220193 and 43651245220202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667488984 + ... + 667554376.

It is an arithmetic number, because the mean of its divisors is an integer number (390684682080).

Almost surely, 243651245220240 is an apocalyptic number.

43651245220240 is a gapful number since it is divisible by the number (40) 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 43651245220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62509549132800).

43651245220240 is an abundant number, since it is smaller than the sum of its proper divisors (81367853045360).

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

43651245220240 is a wasteful number, since it uses less digits than its factorization.

43651245220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66934 (or 66928 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 43651245220240 its reverse (4202254215634), we get a palindrome (47853499435874).

The spelling of 43651245220240 in words is "forty-three trillion, six hundred fifty-one billion, two hundred forty-five million, two hundred twenty thousand, two hundred forty".