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4102141444121 = 7415731373469
BaseRepresentation
bin111011101100011010101…
…011110000000000011001
3112112011100021211200021002
4323230122223300000121
51014202141202202441
612420255303354345
7602240613650000
oct73543253600031
915464307750232
104102141444121
1113417879a23a6
12563032a529b5
13239aa4176c76
1410278a957c37
1571a8d1e6b9b
hex3bb1aaf0019

4102141444121 has 40 divisors (see below), whose sum is σ = 4818952103880. Its totient is φ = 3491605039104.

The previous prime is 4102141444117. The next prime is 4102141444127. The reversal of 4102141444121 is 1214441412014.

It can be written as a sum of positive squares in 4 ways, for example, as 488511532096 + 3613629912025 = 698936^2 + 1900955^2 .

It is not a de Polignac number, because 4102141444121 - 22 = 4102141444117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4102141444127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1182512375 + ... + 1182515843.

It is an arithmetic number, because the mean of its divisors is an integer number (120473802597).

Almost surely, 24102141444121 is an apocalyptic number.

It is an amenable number.

4102141444121 is a deficient number, since it is larger than the sum of its proper divisors (716810659759).

4102141444121 is an equidigital number, since it uses as much as digits as its factorization.

4102141444121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 4102141444121 its reverse (1214441412014), we get a palindrome (5316582856135).

The spelling of 4102141444121 in words is "four trillion, one hundred two billion, one hundred forty-one million, four hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 7 49 157 343 1099 2401 3137 3469 7693 21959 24283 53851 153713 169981 376957 492509 544633 1075991 1189867 3447563 3812431 7531937 8329069 10882253 24132941 26687017 76175771 168930587 186809119 533230397 1182514109 1307663833 1708513721 3732612779 11959596047 26128289453 83717172329 586020206303 4102141444121