Search a number
-
+
43280087040 = 2113253115149
BaseRepresentation
bin101000010011101100…
…011011100000000000
311010201021010020000200
4220103230123200000
51202114200241130
631514350245200
73061343445531
oct502354334000
9133637106020
1043280087040
111739a531a83
12847a4b6800
1341097b1c78
142148082688
1511d4954760
hexa13b1b800

43280087040 has 288 divisors, whose sum is σ = 154849968000. Its totient is φ = 11168317440.

The previous prime is 43280087029. The next prime is 43280087047. The reversal of 43280087040 is 4078008234.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43280086986 and 43280087004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43280087047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2849386 + ... + 2864534.

It is an arithmetic number, because the mean of its divisors is an integer number (537673500).

Almost surely, 243280087040 is an apocalyptic number.

43280087040 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 43280087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77424984000).

43280087040 is an abundant number, since it is smaller than the sum of its proper divisors (111569880960).

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

43280087040 is a wasteful number, since it uses less digits than its factorization.

43280087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15213 (or 15190 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 43280087040 in words is "forty-three billion, two hundred eighty million, eighty-seven thousand, forty".