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2144421312 = 263113173203
BaseRepresentation
bin111111111010001…
…0100010111000000
312112110002220000120
41333310110113000
513342432440222
6552442220240
7104066165115
oct17764242700
95473086016
102144421312
11a00519520
124ba1b4680
13282371c67
14164b3090c
15c83de15c
hex7fd145c0

2144421312 has 112 divisors (see below), whose sum is σ = 6211043712. Its totient is φ = 647572480.

The previous prime is 2144421299. The next prime is 2144421313. The reversal of 2144421312 is 2131244412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144421313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667903 + ... + 671105.

Almost surely, 22144421312 is an apocalyptic number.

2144421312 is a gapful number since it is divisible by the number (22) 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 2144421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105521856).

2144421312 is an abundant number, since it is smaller than the sum of its proper divisors (4066622400).

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

2144421312 is a wasteful number, since it uses less digits than its factorization.

2144421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3536 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2144421312 is about 46307.8968643578. The cubic root of 2144421312 is about 1289.5456028341.

Adding to 2144421312 its reverse (2131244412), we get a palindrome (4275665724).

Subtracting from 2144421312 its reverse (2131244412), we obtain a square (13176900 = 36302).

The spelling of 2144421312 in words is "two billion, one hundred forty-four million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 317 352 528 634 704 951 1056 1268 1902 2112 2536 3203 3487 3804 5072 6406 6974 7608 9609 10144 10461 12812 13948 15216 19218 20288 20922 25624 27896 30432 35233 38436 41844 51248 55792 60864 70466 76872 83688 102496 105699 111584 140932 153744 167376 204992 211398 223168 281864 307488 334752 422796 563728 614976 669504 845592 1015351 1127456 1691184 2030702 2254912 3046053 3382368 4061404 6092106 6764736 8122808 11168861 12184212 16245616 22337722 24368424 32491232 33506583 44675444 48736848 64982464 67013166 89350888 97473696 134026332 178701776 194947392 268052664 357403552 536105328 714807104 1072210656 2144421312