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24022212444140 = 22571139145983417
BaseRepresentation
bin1010111011001000110110…
…11100000111111111101100
310011001111112021210021122012
411131210123130013333230
511122034442341203030
6123031352501540352
75026355550500261
oct535443334077754
9104044467707565
1024022212444140
117721843737759
12283b7ba4146b8
131053391c54931
145d097763d268
152b9d15e36095
hex15d91b707fec

24022212444140 has 96 divisors (see below), whose sum is σ = 51561132940800. Its totient is φ = 9398834403840.

The previous prime is 24022212444091. The next prime is 24022212444161. The reversal of 24022212444140 is 4144421222042.

24022212444140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240222124441402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24022212444097 and 24022212444106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287935712 + ... + 288019128.

It is an arithmetic number, because the mean of its divisors is an integer number (537095134800).

Almost surely, 224022212444140 is an apocalyptic number.

24022212444140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24022212444140 is an abundant number, since it is smaller than the sum of its proper divisors (27538920496660).

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

24022212444140 is a wasteful number, since it uses less digits than its factorization.

24022212444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85095 (or 85093 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 24022212444140 its reverse (4144421222042), we get a palindrome (28166633666182).

The spelling of 24022212444140 in words is "twenty-four trillion, twenty-two billion, two hundred twelve million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 71 139 142 278 284 355 556 695 710 1390 1420 1459 2780 2918 5836 7295 9869 14590 19738 29180 39476 49345 83417 98690 103589 166834 197380 202801 207178 333668 405602 414356 417085 517945 811204 834170 1014005 1035890 1668340 2028010 2071780 4056020 5922607 11594963 11845214 14398871 23189926 23690428 28797742 29613035 46379852 57595484 57974815 59226070 71994355 115949630 118452140 121705403 143988710 231899260 243410806 287977420 486821612 608527015 823242373 1217054030 1646484746 2434108060 3292969492 4116211865 8232423730 8641083613 16464847460 16917051017 17282167226 33834102034 34564334452 43205418065 67668204068 84585255085 86410836130 169170510170 172821672260 338341020340 1201110622207 2402221244414 4804442488828 6005553111035 12011106222070 24022212444140