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4024144896 = 210310211283
BaseRepresentation
bin1110111111011011…
…1001010000000000
3101101110010202000120
43233312321100000
531220140114041
61503151220240
7201502444602
oct35766712000
911343122016
104024144896
111785585692
12943817680
134c1926635
142a263b172
15188444366
hexefdb9400

4024144896 has 88 divisors (see below), whose sum is σ = 10744686624. Its totient is φ = 1339023360.

The previous prime is 4024144871. The next prime is 4024144933. The reversal of 4024144896 is 6984414204.

4024144896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3135871 + ... + 3137153.

Almost surely, 24024144896 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 4024144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372343312).

4024144896 is an abundant number, since it is smaller than the sum of its proper divisors (6720541728).

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

4024144896 is a wasteful number, since it uses less digits than its factorization.

4024144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4024144896 is about 63436.1481806706. The cubic root of 4024144896 is about 1590.5886163704.

The spelling of 4024144896 in words is "four billion, twenty-four million, one hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1021 1024 1283 1536 2042 2566 3063 3072 3849 4084 5132 6126 7698 8168 10264 12252 15396 16336 20528 24504 30792 32672 41056 49008 61584 65344 82112 98016 123168 130688 164224 196032 246336 261376 328448 392064 492672 522752 656896 784128 985344 1045504 1309943 1313792 1568256 1970688 2619886 3136512 3929829 3941376 5239772 7859658 10479544 15719316 20959088 31438632 41918176 62877264 83836352 125754528 167672704 251509056 335345408 503018112 670690816 1006036224 1341381632 2012072448 4024144896