Search a number
-
+
43031761920 = 210395761
BaseRepresentation
bin101000000100111001…
…001001010000000000
311010001221212000000000
4220010321021100000
51201112112340140
631434000000000
73052236640560
oct500471112000
9133057760000
1043031761920
1117282342704
12840b300000
13409a207a24
1421230c0da0
1511bcc51a30
hexa04e49400

43031761920 has 880 divisors, whose sum is σ = 179856428928. Its totient is φ = 9674588160.

The previous prime is 43031761897. The next prime is 43031761939. The reversal of 43031761920 is 2916713034.

43031761920 is a `hidden beast` number, since 4 + 3 + 0 + 3 + 17 + 619 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705438690 + ... + 705438750.

Almost surely, 243031761920 is an apocalyptic number.

43031761920 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 43031761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89928214464).

43031761920 is an abundant number, since it is smaller than the sum of its proper divisors (136824667008).

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

43031761920 is an frugal number, since it uses more digits than its factorization.

43031761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 43031761920 in words is "forty-three billion, thirty-one million, seven hundred sixty-one thousand, nine hundred twenty".