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34243622634243 = 31137283499198599
BaseRepresentation
bin1111100100100111101101…
…11101101000001100000011
311111020122202221100120100210
413302103312331220030003
513442021414343243433
6200455145243445203
710133006614542111
oct762236675501403
9144218687316323
1034243622634243
11aa0270327a660
123a10787b26803
13161520ccb2959
1486558613aab1
153e5b4dc73463
hex1f24f6f68303

34243622634243 has 64 divisors (see below), whose sum is σ = 51438988800000. Its totient is φ = 20081022284160.

The previous prime is 34243622634239. The next prime is 34243622634257.

It is a happy number.

34243622634243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34243622634243 - 22 = 34243622634239 is a prime.

It is a super-2 number, since 2×342436226342432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34243622634192 and 34243622634201.

It is not an unprimeable number, because it can be changed into a prime (34243622634283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172326658 + ... + 172525256.

It is an arithmetic number, because the mean of its divisors is an integer number (803734200000).

Almost surely, 234243622634243 is an apocalyptic number.

34243622634243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34243622634243 is a deficient number, since it is larger than the sum of its proper divisors (17195366165757).

34243622634243 is a wasteful number, since it uses less digits than its factorization.

34243622634243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199432.

The product of its digits is 11943936, while the sum is 48.

The spelling of 34243622634243 in words is "thirty-four trillion, two hundred forty-three billion, six hundred twenty-two million, six hundred thirty-four thousand, two hundred forty-three".

Divisors: 1 3 11 33 37 111 283 407 499 849 1221 1497 3113 5489 9339 10471 16467 18463 31413 55389 115181 141217 198599 203093 345543 423651 595797 609279 1553387 2184589 4660161 5225029 6553767 7348163 15675087 22044489 56203517 57475319 80829793 99100901 168610551 172425957 242489379 297302703 618238687 1090109911 1854716061 2079530129 3270329733 3666733337 6238590387 11000200011 22874831419 28045554983 40334066707 68624494257 84136664949 121002200121 308501104813 925503314439 1037685534371 3113056603113 11414540878081 34243622634243