Search a number
-
+
355003113045303 = 32532512965104889
BaseRepresentation
bin101000010110111111001101…
…0011100100111110100110111
31201112221222002022222001202100
41100231332122130213310313
5333012332333414422203
63255010102333313143
7134530062040343232
oct12055763234476467
91645858068861670
10355003113045303
11a3129a7a447088
1233995b943357b3
131231185ab33a98
146394357018419
152b096a4163ea3
hex142df9a727d37

355003113045303 has 24 divisors (see below), whose sum is σ = 524538915460560. Its totient is φ = 231278181264000.

The previous prime is 355003113045299. The next prime is 355003113045311. The reversal of 355003113045303 is 303540311300553.

355003113045303 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 0 + 3 + 113 + 0 + 4 + 530 + 3 = 666.

It is not a de Polignac number, because 355003113045303 - 22 = 355003113045299 is a prime.

It is a super-4 number, since 4×3550031130453034 (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355003113045323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482432718 + ... + 1482672171.

It is an arithmetic number, because the mean of its divisors is an integer number (21855788144190).

Almost surely, 2355003113045303 is an apocalyptic number.

355003113045303 is a deficient number, since it is larger than the sum of its proper divisors (169535802415257).

355003113045303 is a wasteful number, since it uses less digits than its factorization.

355003113045303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965105199 (or 2965105196 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

Adding to 355003113045303 its reverse (303540311300553), we get a palindrome (658543424345856).

The spelling of 355003113045303 in words is "three hundred fifty-five trillion, three billion, one hundred thirteen million, forty-five thousand, three hundred three".

Divisors: 1 3 9 53 159 251 477 753 2259 13303 39909 119727 2965104889 8895314667 26685944001 157150559117 471451677351 744241327139 1414355032053 2232723981417 6698171944251 39444790338367 118334371015101 355003113045303