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143014312224 = 25327347204437
BaseRepresentation
bin1000010100110001010…
…0010011100100100000
3111200010220122210202200
42011030110103210200
54320343130442344
6145411101013200
713222012411410
oct2051424234440
9450126583680
10143014312224
115571993a573
1223873254200
1310642217ab4
146cc9abc640
153ac0691069
hex214c513920

143014312224 has 144 divisors (see below), whose sum is σ = 466138266048. Its totient is φ = 40743277056.

The previous prime is 143014312223. The next prime is 143014312289. The reversal of 143014312224 is 422213410341.

143014312224 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 1 + 431 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (143014312223) by changing a digit.

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, 597334 + ... + 801770.

It is an arithmetic number, because the mean of its divisors is an integer number (3237071292).

Almost surely, 2143014312224 is an apocalyptic number.

143014312224 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 143014312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233069133024).

143014312224 is an abundant number, since it is smaller than the sum of its proper divisors (323123953824).

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

143014312224 is a wasteful number, since it uses less digits than its factorization.

143014312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204807 (or 204796 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 143014312224 its reverse (422213410341), we get a palindrome (565227722565).

The spelling of 143014312224 in words is "one hundred forty-three billion, fourteen million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 347 504 672 694 1008 1041 1388 2016 2082 2429 2776 3123 4164 4858 5552 6246 7287 8328 9716 11104 12492 14574 16656 19432 21861 24984 29148 33312 38864 43722 49968 58296 77728 87444 99936 116592 174888 204437 233184 349776 408874 613311 699552 817748 1226622 1431059 1635496 1839933 2453244 2862118 3270992 3679866 4293177 4906488 5724236 6541984 7359732 8586354 9812976 11448472 12879531 14719464 17172708 19625952 22896944 25759062 29438928 34345416 45793888 51518124 58877856 68690832 70939639 103036248 137381664 141879278 206072496 212818917 283758556 412144992 425637834 496577473 567517112 638456751 851275668 993154946 1135034224 1276913502 1489732419 1702551336 1986309892 2270068448 2553827004 2979464838 3405102672 3972619784 4469197257 5107654008 5958929676 6810205344 7945239568 8938394514 10215308016 11917859352 15890479136 17876789028 20430616032 23835718704 35753578056 47671437408 71507156112 143014312224