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2144554412 = 22711131015303
BaseRepresentation
bin111111111010011…
…0100110110101100
312112110100122121012
41333310310312230
513343001220122
6552445124352
7104100261140
oct17764646654
95473318535
102144554412
11a005aa520
124ba2596b8
132823ba710
14164b67220
15c84187e2
hex7fd34dac

2144554412 has 96 divisors (see below), whose sum is σ = 5089803264. Its totient is φ = 763488000.

The previous prime is 2144554387. The next prime is 2144554417.

2144554412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21445544122 = 9198227252057331488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2144554417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401753 + ... + 407055.

It is an arithmetic number, because the mean of its divisors is an integer number (53018784).

Almost surely, 22144554412 is an apocalyptic number.

2144554412 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 2144554412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544901632).

2144554412 is an abundant number, since it is smaller than the sum of its proper divisors (2945248852).

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

2144554412 is a wasteful number, since it uses less digits than its factorization.

2144554412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5437 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The square root of 2144554412 is about 46309.3339619563. Note that the first 3 decimals coincide. The cubic root of 2144554412 is about 1289.5722821326.

It can be divided in two parts, 21445 and 54412, that added together give a palindrome (75857).

The spelling of 2144554412 in words is "two billion, one hundred forty-four million, five hundred fifty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 182 202 286 308 364 404 572 707 1001 1111 1313 1414 2002 2222 2626 2828 4004 4444 5252 5303 7777 9191 10606 14443 15554 18382 21212 28886 31108 36764 37121 57772 58333 68939 74242 101101 116666 137878 148484 202202 233332 275756 404404 408331 482573 535603 758329 816662 965146 1071206 1516658 1633324 1930292 2142412 3033316 3749221 5308303 5891633 6962839 7498442 10616606 11783266 13925678 14996884 21233212 23566532 27851356 41241431 48739873 76591229 82482862 97479746 153182458 164965724 194959492 306364916 536138603 1072277206 2144554412