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351142314425141 = 9711375869422249
BaseRepresentation
bin100111111010111001011000…
…0111010101011101100110101
31201001021212200122020010122212
41033311302300322223230311
5332011103424443101031
63242452315144103205
7133651123615500551
oct11765626072535465
91631255618203585
10351142314425141
11a198068a260498
1233471896764b05
13120c176930b535
14629d54321a861
152a8e03dc2712b
hex13f5cb0eabb35

351142314425141 has 16 divisors (see below), whose sum is σ = 357907392990000. Its totient is φ = 344441516310528.

The previous prime is 351142314425131. The next prime is 351142314425299. The reversal of 351142314425141 is 141524413241153.

It can be written as a sum of positive squares in 8 ways, for example, as 40779080222500 + 310363234202641 = 6385850^2 + 17617129^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-351142314425141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351142314425131) 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 15 ways as a sum of consecutive naturals, for example, 831388985 + ... + 831811233.

It is an arithmetic number, because the mean of its divisors is an integer number (22369212061875).

Almost surely, 2351142314425141 is an apocalyptic number.

It is an amenable number.

351142314425141 is a deficient number, since it is larger than the sum of its proper divisors (6765078564859).

351142314425141 is a wasteful number, since it uses less digits than its factorization.

351142314425141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498328.

The product of its digits is 230400, while the sum is 41.

Adding to 351142314425141 its reverse (141524413241153), we get a palindrome (492666727666294).

The spelling of 351142314425141 in words is "three hundred fifty-one trillion, one hundred forty-two billion, three hundred fourteen million, four hundred twenty-five thousand, one hundred forty-one".

Divisors: 1 97 113 10961 75869 422249 7359293 8573197 40958153 47714137 831600109 4628271289 32035609381 3107454109957 3620023860053 351142314425141