Search a number
-
+
349369963943 = 711131093202027
BaseRepresentation
bin1010001010110000001…
…00101001010110100111
31020101210012020001101012
411011120010221112213
521211002202321233
6424255350452435
734145466460310
oct5053004512647
91211705201335
10349369963943
111251922669a0
125786336411b
1326c3a1b7520
1412ca3d0b607
15914baa1548
hex51581295a7

349369963943 has 32 divisors (see below), whose sum is σ = 473387819520. Its totient is φ = 248989541760.

The previous prime is 349369963897. The next prime is 349369963951.

It is a happy number.

349369963943 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 349369963943 - 226 = 349302855079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349369963963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1491905 + ... + 1710122.

It is an arithmetic number, because the mean of its divisors is an integer number (14793369360).

Almost surely, 2349369963943 is an apocalyptic number.

349369963943 is a deficient number, since it is larger than the sum of its proper divisors (124017855577).

349369963943 is a wasteful number, since it uses less digits than its factorization.

349369963943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202167.

The product of its digits is 306110016, while the sum is 68.

The spelling of 349369963943 in words is "three hundred forty-nine billion, three hundred sixty-nine million, nine hundred sixty-three thousand, nine hundred forty-three".

Divisors: 1 7 11 13 77 91 109 143 763 1001 1199 1417 8393 9919 15587 109109 3202027 22414189 35222297 41626351 246556079 291384457 349020943 457889861 2443146601 3205229027 3839230373 4537272259 26874612611 31760905813 49909994849 349369963943