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1030950144 = 2832797659
BaseRepresentation
bin111101011100110…
…000110100000000
32122211220200201200
4331130300310000
54102410401034
6250144501200
734355634360
oct7534606400
92584820650
101030950144
11489a43114
1224931a800
13135785793
149acc69a0
1560796a99
hex3d730d00

1030950144 has 216 divisors, whose sum is σ = 3437353920. Its totient is φ = 291078144.

The previous prime is 1030950133. The next prime is 1030950157. The reversal of 1030950144 is 4410590301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1564087 + ... + 1564745.

Almost surely, 21030950144 is an apocalyptic number.

1030950144 is a gapful number since it is divisible by the number (14) 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 1030950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718676960).

1030950144 is an abundant number, since it is smaller than the sum of its proper divisors (2406403776).

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

1030950144 is an equidigital number, since it uses as much as digits as its factorization.

1030950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1030950144 is about 32108.4123556429. The cubic root of 1030950144 is about 1010.2120732334.

The spelling of 1030950144 in words is "one billion, thirty million, nine hundred fifty thousand, one hundred forty-four".