Search a number
-
+
43900940160 = 27325711312103
BaseRepresentation
bin101000111000101100…
…110010111110000000
311012022112100211101200
4220320230302332000
51204402120041120
632100125301200
73112622556120
oct507054627600
9135275324350
1043900940160
1117688a33130
128612404800
1341a82cc38c
1421a66d6c80
15121e1e0e90
hexa38b32f80

43900940160 has 1152 divisors, whose sum is σ = 197191687680. Its totient is φ = 8742297600.

The previous prime is 43900940113. The next prime is 43900940173. The reversal of 43900940160 is 6104900934.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 426222669 + ... + 426222771.

It is an arithmetic number, because the mean of its divisors is an integer number (171173340).

Almost surely, 243900940160 is an apocalyptic number.

43900940160 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 43900940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98595843840).

43900940160 is an abundant number, since it is smaller than the sum of its proper divisors (153290747520).

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

43900940160 is a wasteful number, since it uses less digits than its factorization.

43900940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 43900940160 in words is "forty-three billion, nine hundred million, nine hundred forty thousand, one hundred sixty".