Search a number
-
+
4028248150080 = 2635721141189877
BaseRepresentation
bin111010100111100110010…
…011001101000001000000
3112021002121112120101222220
4322213212103031001000
51011444323011300310
612322315053531040
7564013513215600
oct72474623150100
915232545511886
104028248150080
111313409078950
125508501a3a80
13232b2925bb3b
14dcd7ac46c00
156ebb5ddc670
hex3a9e64cd040

4028248150080 has 672 divisors, whose sum is σ = 16626276680832. Its totient is φ = 816618700800.

The previous prime is 4028248150063. The next prime is 4028248150099. The reversal of 4028248150080 is 800518428204.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21120102 + ... + 21309978.

It is an arithmetic number, because the mean of its divisors is an integer number (24741483156).

Almost surely, 24028248150080 is an apocalyptic number.

4028248150080 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 4028248150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8313138340416).

4028248150080 is an abundant number, since it is smaller than the sum of its proper divisors (12598028530752).

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

4028248150080 is a wasteful number, since it uses less digits than its factorization.

4028248150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189963 (or 189946 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 4028248150080 in words is "four trillion, twenty-eight billion, two hundred forty-eight million, one hundred fifty thousand, eighty".