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34214041230985 = 5711592409762507
BaseRepresentation
bin1111100011110000100111…
…10001100001111010001001
311111010211102100201120202201
413301320103301201322021
513441030324023342420
6200433414043400201
710130611560010660
oct761702361417211
9144124370646681
1034214041230985
11a9a1103353550
123a06ab1223061
1316124a7570945
14863d7b537dd7
153e4ebbc8310a
hex1f1e13c61e89

34214041230985 has 64 divisors (see below), whose sum is σ = 52058342615040. Its totient is φ = 20965532497920.

The previous prime is 34214041230979. The next prime is 34214041230991. The reversal of 34214041230985 is 58903214041243.

It is an interprime number because it is at equal distance from previous prime (34214041230979) and next prime (34214041230991).

It is not a de Polignac number, because 34214041230985 - 25 = 34214041230953 is a prime.

It is a super-3 number, since 3×342140412309853 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 547332102 + ... + 547394608.

It is an arithmetic number, because the mean of its divisors is an integer number (813411603360).

Almost surely, 234214041230985 is an apocalyptic number.

34214041230985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34214041230985 is a deficient number, since it is larger than the sum of its proper divisors (17844301384055).

34214041230985 is a wasteful number, since it uses less digits than its factorization.

34214041230985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86686.

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 34214041230985 in words is "thirty-four trillion, two hundred fourteen billion, forty-one million, two hundred thirty thousand, nine hundred eighty-five".

Divisors: 1 5 7 11 35 55 59 77 295 385 413 649 2065 3245 4543 22715 24097 62507 120485 168679 265067 312535 437549 687577 843395 1325335 1421723 1855469 2187745 3437885 3687913 4813039 7108615 9277345 9952061 15638953 18439565 24065195 25815391 40567043 49760305 78194765 109472671 129076955 202835215 283969301 547363355 1419846505 1506231179 7531155895 10543618253 16568542969 52718091265 82842714845 88867639561 115979800783 444338197805 579899003915 622073476927 977544035171 3110367384635 4887720175855 6842808246197 34214041230985