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353324404423353 = 31148044177411
BaseRepresentation
bin101000001010110001011111…
…1100111011011101010111001
31201100000111001020112022102210
41100111202333213123222321
5332302331340013021403
63251242553545445333
7134264563055445156
oct12025427747335271
91640014036468383
10353324404423353
11a2642047170000
12337647781a0849
131221c46b4b267c
146336dc72ab22d
152acaba2b4bb03
hex14158bf9dbab9

353324404423353 has 20 divisors (see below), whose sum is σ = 518205908881040. Its totient is φ = 214136002654200.

The previous prime is 353324404423327. The next prime is 353324404423357.

It is a happy number.

353324404423353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 353324404423353 - 28 = 353324404423097 is a prime.

It is a super-2 number, since 2×3533244044233532 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353324404423357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4022044783 + ... + 4022132628.

It is an arithmetic number, because the mean of its divisors is an integer number (25910295444052).

Almost surely, 2353324404423353 is an apocalyptic number.

353324404423353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

353324404423353 is a deficient number, since it is larger than the sum of its proper divisors (164881504457687).

353324404423353 is an frugal number, since it uses more digits than its factorization.

353324404423353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044177458 (or 8044177425 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 48.

It can be divided in two parts, 35332440 and 4423353, that added together give a palindrome (39755793).

The spelling of 353324404423353 in words is "three hundred fifty-three trillion, three hundred twenty-four billion, four hundred four million, four hundred twenty-three thousand, three hundred fifty-three".

Divisors: 1 3 11 33 121 363 1331 3993 14641 43923 8044177411 24132532233 88485951521 265457854563 973345466731 2920036400193 10706800134041 32120400402123 117774801474451 353324404423353