Search a number
-
+
43232640000 = 210354112389
BaseRepresentation
bin101000010000110111…
…011011110000000000
311010120221211122220220
4220100313123300000
51202020023440000
631505533303040
73060226243134
oct502067336000
9133527748826
1043232640000
1117375775350
128466634a80
1340cca0b8b4
142141a513c4
1511d06d11a0
hexa10ddbc00

43232640000 has 880 divisors, whose sum is σ = 165753941760. Its totient is φ = 9912320000.

The previous prime is 43232639987. The next prime is 43232640001. The reversal of 43232640000 is 4623234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×432326400002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43232640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 485759956 + ... + 485760044.

It is an arithmetic number, because the mean of its divisors is an integer number (188356752).

Almost surely, 243232640000 is an apocalyptic number.

43232640000 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 43232640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82876970880).

43232640000 is an abundant number, since it is smaller than the sum of its proper divisors (122521301760).

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

43232640000 is a wasteful number, since it uses less digits than its factorization.

43232640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The spelling of 43232640000 in words is "forty-three billion, two hundred thirty-two million, six hundred forty thousand".