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34155241505 = 5721133737607
BaseRepresentation
bin11111110011110011…
…111010000000100001
310021011100010001010122
4133303303322000201
51024422220212010
623405105210025
72316253522400
oct376363720041
9107140101118
1034155241505
111353781a520
126752630915
1332b41cc398
14192024d637
15d4d816855
hex7f3cfa021

34155241505 has 48 divisors (see below), whose sum is σ = 52168012416. Its totient is φ = 21227834880.

The previous prime is 34155241493. The next prime is 34155241531. The reversal of 34155241505 is 50514255143.

It is not a de Polignac number, because 34155241505 - 232 = 29860274209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889412 + ... + 927018.

It is an arithmetic number, because the mean of its divisors is an integer number (1086833592).

Almost surely, 234155241505 is an apocalyptic number.

34155241505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34155241505 is a deficient number, since it is larger than the sum of its proper divisors (18012770911).

34155241505 is a wasteful number, since it uses less digits than its factorization.

34155241505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37974 (or 37967 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 34155241505 its reverse (50514255143), we get a palindrome (84669496648).

The spelling of 34155241505 in words is "thirty-four billion, one hundred fifty-five million, two hundred forty-one thousand, five hundred five".

Divisors: 1 5 7 11 35 49 55 77 245 337 385 539 1685 2359 2695 3707 11795 16513 18535 25949 37607 82565 129745 181643 188035 263249 413677 908215 1316245 1842743 2068385 2895739 9213715 12673559 14478695 20270173 63367795 88714913 101350865 139409149 443574565 621004391 697045745 975864043 3105021955 4879320215 6831048301 34155241505