Search a number
-
+
43649706240 = 2832571931919
BaseRepresentation
bin101000101001101110…
…011010100100000000
311011200000121211020200
4220221232122210000
51203343311044430
632015152405200
73103452244530
oct505156324400
9134600554220
1043649706240
111756a137398
128562246800
13416824715a
1421811b94c0
151207116460
hexa29b9a900

43649706240 has 864 divisors, whose sum is σ = 187747123200. Its totient is φ = 9137111040.

The previous prime is 43649706227. The next prime is 43649706253. The reversal of 43649706240 is 4260794634.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (43649706227) and next prime (43649706253).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47496501 + ... + 47497419.

Almost surely, 243649706240 is an apocalyptic number.

43649706240 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 43649706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93873561600).

43649706240 is an abundant number, since it is smaller than the sum of its proper divisors (144097416960).

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

43649706240 is a wasteful number, since it uses less digits than its factorization.

43649706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 43649706240 in words is "forty-three billion, six hundred forty-nine million, seven hundred six thousand, two hundred forty".