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14245222440 = 23351073673023
BaseRepresentation
bin11010100010001010…
…01101100000101000
31100202202220021112010
431101011031200220
5213133234104230
610313312315520
71013003251521
oct152105154050
940682807463
1014245222440
116050069509
122916842ba0
13146036ab07
14991cab848
155859219b0
hex35114d828

14245222440 has 128 divisors (see below), whose sum is σ = 43266908160. Its totient is φ = 3751728384.

The previous prime is 14245222427. The next prime is 14245222447. The reversal of 14245222440 is 4422254241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14245222398 and 14245222407.

It is not an unprimeable number, because it can be changed into a prime (14245222447) 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 31 ways as a sum of consecutive naturals, for example, 4710769 + ... + 4713791.

It is an arithmetic number, because the mean of its divisors is an integer number (338022720).

Almost surely, 214245222440 is an apocalyptic number.

14245222440 is a gapful number since it is divisible by the number (10) 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 14245222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633454080).

14245222440 is an abundant number, since it is smaller than the sum of its proper divisors (29021685720).

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

14245222440 is a wasteful number, since it uses less digits than its factorization.

14245222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 14245222440 its reverse (4422254241), we get a palindrome (18667476681).

The spelling of 14245222440 in words is "fourteen billion, two hundred forty-five million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 367 428 535 642 734 856 1070 1101 1284 1468 1605 1835 2140 2202 2568 2936 3023 3210 3670 4280 4404 5505 6046 6420 7340 8808 9069 11010 12092 12840 14680 15115 18138 22020 24184 30230 36276 39269 44040 45345 60460 72552 78538 90690 117807 120920 157076 181380 196345 235614 314152 323461 362760 392690 471228 589035 646922 785380 942456 970383 1109441 1178070 1293844 1570760 1617305 1940766 2218882 2356140 2587688 3234610 3328323 3881532 4437764 4712280 4851915 5547205 6469220 6656646 7763064 8875528 9703830 11094410 12938440 13313292 16641615 19407660 22188820 26626584 33283230 38815320 44377640 66566460 118710187 133132920 237420374 356130561 474840748 593550935 712261122 949681496 1187101870 1424522244 1780652805 2374203740 2849044488 3561305610 4748407480 7122611220 14245222440