Search a number
-
+
2135394144 = 253313414637
BaseRepresentation
bin111111101000111…
…1000011101100000
312111211010021002000
41333101320131200
513333130103034
6551520524000
7103626356622
oct17721703540
95454107060
102135394144
119a6413254
124b7180600
13280531140
14163860c12
15c7709599
hex7f478760

2135394144 has 192 divisors, whose sum is σ = 6872402880. Its totient is φ = 640880640.

The previous prime is 2135394143. The next prime is 2135394167. The reversal of 2135394144 is 4414935312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2135394099 and 2135394108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135394143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458194 + ... + 462830.

It is an arithmetic number, because the mean of its divisors is an integer number (35793765).

Almost surely, 22135394144 is an apocalyptic number.

2135394144 is a gapful number since it is divisible by the number (24) 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 2135394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436201440).

2135394144 is an abundant number, since it is smaller than the sum of its proper divisors (4737008736).

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

2135394144 is a wasteful number, since it uses less digits than its factorization.

2135394144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4696 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2135394144 is about 46210.3250800078. The cubic root of 2135394144 is about 1287.7335649913.

The spelling of 2135394144 in words is "two billion, one hundred thirty-five million, three hundred ninety-four thousand, one hundred forty-four".