Search a number
-
+
43042406400 = 21633527139
BaseRepresentation
bin101000000101100001…
…110000000000000000
311010002200212210111000
4220011201300000000
51201122324001100
631435020052000
73052426263210
oct500541600000
9133080783430
1043042406400
1117288352aa4
128412994000
13409c493a36
142124692240
1511bdb55900
hexa05870000

43042406400 has 816 divisors, whose sum is σ = 182031404800. Its totient is φ = 9767485440.

The previous prime is 43042406387. The next prime is 43042406461. The reversal of 43042406400 is 460424034.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309657531 + ... + 309657669.

Almost surely, 243042406400 is an apocalyptic number.

43042406400 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 43042406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91015702400).

43042406400 is an abundant number, since it is smaller than the sum of its proper divisors (138988998400).

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

43042406400 is an equidigital number, since it uses as much as digits as its factorization.

43042406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 43042406400 in words is "forty-three billion, forty-two million, four hundred six thousand, four hundred".