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34041121011 = 32172943672663
BaseRepresentation
bin11111101101000000…
…100100100011110011
310020212101101010020200
4133231000210203303
51024204011333021
623345511210243
72313366516522
oct375500444363
9106771333220
1034041121011
1113489364067
126720376983
133296683671
14190d0244b9
15d437c3126
hex7ed0248f3

34041121011 has 96 divisors (see below), whose sum is σ = 55954229760. Its totient is φ = 19834924032.

The previous prime is 34041121001. The next prime is 34041121033. The reversal of 34041121011 is 11012114043.

34041121011 is a `hidden beast` number, since 3 + 40 + 411 + 210 + 1 + 1 = 666.

It is not a de Polignac number, because 34041121011 - 26 = 34041120947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34041121001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12781666 + ... + 12784328.

It is an arithmetic number, because the mean of its divisors is an integer number (582856560).

Almost surely, 234041121011 is an apocalyptic number.

34041121011 is a deficient number, since it is larger than the sum of its proper divisors (21913108749).

34041121011 is a wasteful number, since it uses less digits than its factorization.

34041121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 34041121011 its reverse (11012114043), we get a palindrome (45053235054).

The spelling of 34041121011 in words is "thirty-four billion, forty-one million, one hundred twenty-one thousand, eleven".

Divisors: 1 3 9 17 29 43 51 67 87 129 153 201 261 387 493 603 731 1139 1247 1479 1943 2193 2663 2881 3417 3741 4437 5829 6579 7989 8643 10251 11223 17487 21199 23967 25929 33031 45271 48977 63597 77227 83549 99093 114509 135813 146931 178421 190791 231681 250647 297279 343527 407439 440793 535263 695043 751941 1030581 1312859 1420333 1605789 1946653 3033157 3320761 3938577 4260999 5174209 5839959 7672103 9099471 9962283 11815731 12782997 15522627 17519877 23016309 27298413 29886849 46567881 56452937 69048927 87961553 130425751 169358811 222490987 263884659 391277253 508076433 667472961 791653977 1173831759 2002418883 3782346779 11347040337 34041121011