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1443101000224 = 251329208357427
BaseRepresentation
bin10100111111111111100…
…001011100001000100000
312002221220012010110120111
4110333333201130020200
5142120432324001344
63022541302421104
7206155250052562
oct24777741341040
95087805113514
101443101000224
11507019990734
121b3823731794
13a61122747c0
144dbbc991332
1527811edb834
hex14fff85c220

1443101000224 has 96 divisors (see below), whose sum is σ = 3166731529920. Its totient is φ = 642759570432.

The previous prime is 1443101000221. The next prime is 1443101000249. The reversal of 1443101000224 is 4220001013441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1443101000195 and 1443101000204.

It is not an unprimeable number, because it can be changed into a prime (1443101000221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25100599 + ... + 25158025.

It is an arithmetic number, because the mean of its divisors is an integer number (32986786770).

Almost surely, 21443101000224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1443101000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583365764960).

1443101000224 is an abundant number, since it is smaller than the sum of its proper divisors (1723630529696).

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

1443101000224 is a wasteful number, since it uses less digits than its factorization.

1443101000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59562 (or 59554 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1443101000224 its reverse (4220001013441), we get a palindrome (5663102013665).

The spelling of 1443101000224 in words is "one trillion, four hundred forty-three billion, one hundred one million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 2083 3016 4166 6032 8332 12064 16664 27079 33328 54158 57427 60407 66656 108316 114854 120814 216632 229708 241628 433264 459416 483256 746551 785291 866528 918832 966512 1493102 1570582 1665383 1837664 1933024 2986204 3141164 3330766 5972408 6282328 6661532 11944816 12564656 13323064 21649979 23889632 25129312 26646128 43299958 53292256 86599916 119620441 173199832 239240882 346399664 478481764 692799328 956963528 1555065733 1913927056 3110131466 3468992789 3827854112 6220262932 6937985578 12440525864 13875971156 24881051728 27751942312 45096906257 49762103456 55503884624 90193812514 111007769248 180387625028 360775250056 721550500112 1443101000224