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4053153434341 = 1122915738918913
BaseRepresentation
bin111010111110110010110…
…001010100101011100101
3112100110220020020221020111
4322332302301110223211
51012401324234344331
612341554252333021
7565554630514024
oct72766261245345
915313806227214
104053153434341
111322a294a2600
12555640a74171
13235297c81b2b
141002607b68bb
1570672600db1
hex3afb2c54ae5

4053153434341 has 48 divisors (see below), whose sum is σ = 4650267913200. Its totient is φ = 3525693050880.

The previous prime is 4053153434329. The next prime is 4053153434381. The reversal of 4053153434341 is 1434343513504.

It can be written as a sum of positive squares in 8 ways, for example, as 20888631841 + 4032264802500 = 144529^2 + 2008050^2 .

It is not a de Polignac number, because 4053153434341 - 225 = 4053119879909 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4053153434294 and 4053153434303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053153434321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214295701 + ... + 214314613.

It is an arithmetic number, because the mean of its divisors is an integer number (96880581525).

Almost surely, 24053153434341 is an apocalyptic number.

It is an amenable number.

4053153434341 is a deficient number, since it is larger than the sum of its proper divisors (597114478859).

4053153434341 is a wasteful number, since it uses less digits than its factorization.

4053153434341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19510 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 4053153434341 its reverse (1434343513504), we get a palindrome (5487496947845).

The spelling of 4053153434341 in words is "four trillion, fifty-three billion, one hundred fifty-three million, four hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 11 29 121 157 319 389 1727 3509 4279 4553 11281 18913 18997 47069 50083 61073 124091 208043 548477 550913 671803 1365001 1771117 2288473 2969341 6033247 7357157 7389833 19482287 32662751 66365717 80928727 86110889 213357553 214305157 359290261 890215997 947219779 1155073649 2346933083 10419417569 12705810139 25816263913 33497135821 139763911529 368468494031 4053153434341