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834310013438 = 211217418275981
BaseRepresentation
bin11000010010000001100…
…00001000000111111110
32221202111111111000022002
430021000300020013332
5102132131330412223
61435135435022302
7114163660050506
oct14110060100776
92852444430262
10834310013438
112a1913285700
1211584089a992
13608a1258985
142c548d82a06
1516a804cbe28
hexc240c081fe

834310013438 has 96 divisors (see below), whose sum is σ = 1494071689824. Its totient is φ = 347739392000.

The previous prime is 834310013437. The next prime is 834310013443.

834310013438 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834310013431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139490408 + ... + 139496388.

It is an arithmetic number, because the mean of its divisors is an integer number (15563246769).

Almost surely, 2834310013438 is an apocalyptic number.

834310013438 is a deficient number, since it is larger than the sum of its proper divisors (659761676386).

834310013438 is a wasteful number, since it uses less digits than its factorization.

834310013438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

It can be divided in two parts, 8343100 and 13438, that added together give a palindrome (8356538).

The spelling of 834310013438 in words is "eight hundred thirty-four billion, three hundred ten million, thirteen thousand, four hundred thirty-eight".

Divisors: 1 2 11 17 22 34 41 82 121 187 242 374 451 697 827 902 1394 1654 2057 4114 4961 5981 7667 9097 9922 11962 14059 15334 18194 28118 33907 65791 67814 84337 100067 101677 131582 154649 168674 200134 203354 245221 309298 372977 490442 576419 723701 745954 1118447 1152838 1447402 1701139 2236894 2697431 3402278 4102747 4168757 4946287 5394862 6340609 8205494 8337514 9892574 12302917 12681218 24605834 29671741 45856327 54409157 59343482 69746699 84086879 91712654 108818314 139493398 168173758 202797767 405595534 504419597 598500727 924955669 1008839194 1197001454 1849911338 2230775437 3447562039 4461550874 6895124078 10174512359 20349024718 24538529807 37923182429 49077059614 75846364858 417155006719 834310013438