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2144485248 = 27327720161
BaseRepresentation
bin111111111010010…
…0011111110000000
312112110020010201120
41333310203332000
513342442011443
6552443432240
7104066552403
oct17764437600
95473203646
102144485248
11a00562564
124ba225680
132823950a9
14164b49d3a
15c8403083
hex7fd23f80

2144485248 has 64 divisors (see below), whose sum is σ = 5717136720. Its totient is φ = 712212480.

The previous prime is 2144485229. The next prime is 2144485267. The reversal of 2144485248 is 8425844412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2144485229) and next prime (2144485267).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96288 + ... + 116448.

Almost surely, 22144485248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144485248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858568360).

2144485248 is an abundant number, since it is smaller than the sum of its proper divisors (3572651472).

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

2144485248 is a wasteful number, since it uses less digits than its factorization.

2144485248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20455 (or 20443 counting only the distinct ones).

The product of its digits is 327680, while the sum is 42.

The square root of 2144485248 is about 46308.5871950333. The cubic root of 2144485248 is about 1289.5584186565.

The spelling of 2144485248 in words is "two billion, one hundred forty-four million, four hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 384 554 831 1108 1662 2216 3324 4432 6648 8864 13296 17728 20161 26592 35456 40322 53184 60483 80644 106368 120966 161288 241932 322576 483864 645152 967728 1290304 1935456 2580608 3870912 5584597 7741824 11169194 16753791 22338388 33507582 44676776 67015164 89353552 134030328 178707104 268060656 357414208 536121312 714828416 1072242624 2144485248