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4444413142224 = 2431143195754631
BaseRepresentation
bin100000010101100101110…
…1010101010010011010000
3120201212210210102110110110
41000223023222222103100
51040304124231022344
613241422450001320
7636045462250566
oct100531352522320
916655723373413
104444413142224
111463957398090
125b9434b76240
1326314c8a1193
14115179c49a36
157a921a1d3b9
hex40acbaaa4d0

4444413142224 has 80 divisors (see below), whose sum is σ = 12816447266304. Its totient is φ = 1315471113600.

The previous prime is 4444413142201. The next prime is 4444413142289. The reversal of 4444413142224 is 4222413144444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97854612 + ... + 97900019.

Almost surely, 24444413142224 is an apocalyptic number.

4444413142224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4444413142224 is an abundant number, since it is smaller than the sum of its proper divisors (8372034124080).

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

4444413142224 is a wasteful number, since it uses less digits than its factorization.

4444413142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195754696 (or 195754690 counting only the distinct ones).

The product of its digits is 393216, while the sum is 39.

Adding to 4444413142224 its reverse (4222413144444), we get a palindrome (8666826286668).

The spelling of 4444413142224 in words is "four trillion, four hundred forty-four billion, four hundred thirteen million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 195754631 391509262 587263893 783018524 1174527786 1566037048 2153300941 2349055572 3132074096 4306601882 4698111144 6459902823 8417449133 8613203764 9396222288 12919805646 16834898266 17226407528 25252347399 25839611292 33669796532 34452815056 50504694798 51679222584 67339593064 92591940463 101009389596 103358445168 134679186128 185183880926 202018779192 277775821389 370367761852 404037558384 555551642778 740735523704 1111103285556 1481471047408 2222206571112 4444413142224