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1450168128 = 263261149277
BaseRepresentation
bin101011001101111…
…1100111101000000
310202001202011200200
41112123330331000
510432220340003
6355522045200
750636140263
oct12633747500
93661664620
101450168128
11684644862
123457a9800
131a1595566
14da850cda
15874a46a3
hex566fcf40

1450168128 has 168 divisors, whose sum is σ = 4268495400. Its totient is φ = 470568960.

The previous prime is 1450168087. The next prime is 1450168133. The reversal of 1450168128 is 8218610541.

It can be written as a sum of positive squares in 4 ways, for example, as 131606784 + 1318561344 = 11472^2 + 36312^2 .

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 = 1450168092 and 1450168101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5235126 + ... + 5235402.

Almost surely, 21450168128 is an apocalyptic number.

1450168128 is a gapful number since it is divisible by the number (18) 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 1450168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134247700).

1450168128 is an abundant number, since it is smaller than the sum of its proper divisors (2818327272).

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

1450168128 is a wasteful number, since it uses less digits than its factorization.

1450168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1450168128 is about 38081.0730941238. The cubic root of 1450168128 is about 1131.8949404511.

Adding to 1450168128 its reverse (8218610541), we get a palindrome (9668778669).

The spelling of 1450168128 in words is "one billion, four hundred fifty million, one hundred sixty-eight thousand, one hundred twenty-eight".