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34431342341011 = 7311174011338671
BaseRepresentation
bin1111101010000101010111…
…11011011110101110010011
311111220121022110002201110221
413311002223323132232103
514003110342114403021
6201121312412333511
710152403521661000
oct765025373365623
9144817273081427
1034431342341011
11aa75283145790
123a41036a74297
131629b2807c315
148706b32ba8a7
153ea98905c241
hex1f50abedeb93

34431342341011 has 64 divisors (see below), whose sum is σ = 46495826841600. Its totient is φ = 25188414720000.

The previous prime is 34431342340961. The next prime is 34431342341017. The reversal of 34431342341011 is 11014324313443.

It is a de Polignac number, because none of the positive numbers 2k-34431342341011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34431342341017) 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, 25051206 + ... + 26389876.

It is an arithmetic number, because the mean of its divisors is an integer number (726497294400).

Almost surely, 234431342341011 is an apocalyptic number.

34431342341011 is a deficient number, since it is larger than the sum of its proper divisors (12064484500589).

34431342341011 is a wasteful number, since it uses less digits than its factorization.

34431342341011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339121 (or 1339107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 34431342341011 its reverse (11014324313443), we get a palindrome (45445666654454).

The spelling of 34431342341011 in words is "thirty-four trillion, four hundred thirty-one billion, three hundred forty-two million, three hundred forty-one thousand, eleven".

Divisors: 1 7 11 17 49 77 119 187 343 401 539 833 1309 2807 3773 4411 5831 6817 9163 19649 30877 47719 64141 74987 137543 216139 334033 524909 1338671 1512973 2338231 3674363 9370697 14725381 22757407 25720541 65594879 103077667 159301849 250331477 459164153 536807071 721543669 1115112943 1752320339 3757649497 5050805683 5904877781 7805790601 9125720207 12266242373 26303546479 41334144467 63880041449 85863696611 100382922277 184124825353 289339011269 447160290143 702680455939 2025373078883 3130122031001 4918763191573 34431342341011