Search a number
-
+
43400430030120 = 233517195023222919
BaseRepresentation
bin10011101111000111100110…
…01101110000110100101000
312200200001002120221110011220
421313203303031300310220
521142033040041430440
6232145514325022040
712066402054306012
oct1167436315606450
9180601076843156
1043400430030120
111291302333a139
124a4b364254920
131b2a84885cb97
14aa08407151b2
15503e289a08d0
hex2778f3370d28

43400430030120 has 256 divisors, whose sum is σ = 145145530368000. Its totient is φ = 10317258510336.

The previous prime is 43400430030107. The next prime is 43400430030151. The reversal of 43400430030120 is 2103003400434.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194580021 + ... + 194802939.

It is an arithmetic number, because the mean of its divisors is an integer number (566974728000).

Almost surely, 243400430030120 is an apocalyptic number.

43400430030120 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 43400430030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72572765184000).

43400430030120 is an abundant number, since it is smaller than the sum of its proper divisors (101745100337880).

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

43400430030120 is a wasteful number, since it uses less digits than its factorization.

43400430030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227992 (or 227988 counting only the distinct ones).

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

Adding to 43400430030120 its reverse (2103003400434), we get a palindrome (45503433430554).

The spelling of 43400430030120 in words is "forty-three trillion, four hundred billion, four hundred thirty million, thirty thousand, one hundred twenty".