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34145013555 = 3253378632609
BaseRepresentation
bin11111110011001100…
…111000111100110011
310021010121212102000200
4133303030320330303
51024412110413210
623404102050243
72316100553322
oct376314707463
9107117772020
1034145013555
1113531a74074
12674b119983
1332b205ab43
14191cb4a0b9
15d4c9960c0
hex7f3338f33

34145013555 has 48 divisors (see below), whose sum is σ = 59451874560. Its totient is φ = 18128646144.

The previous prime is 34145013547. The next prime is 34145013557. The reversal of 34145013555 is 55531054143.

34145013555 is a `hidden beast` number, since 3 + 41 + 4 + 50 + 13 + 555 = 666.

It is not a de Polignac number, because 34145013555 - 23 = 34145013547 is a prime.

It is a super-2 number, since 2×341450135552 (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (34145013557) 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, 13086091 + ... + 13088699.

It is an arithmetic number, because the mean of its divisors is an integer number (1238580720).

Almost surely, 234145013555 is an apocalyptic number.

34145013555 is a deficient number, since it is larger than the sum of its proper divisors (25306861005).

34145013555 is a wasteful number, since it uses less digits than its factorization.

34145013555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 34145013555 its reverse (55531054143), we get a palindrome (89676067698).

The spelling of 34145013555 in words is "thirty-four billion, one hundred forty-five million, thirteen thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 45 337 863 1011 1685 2589 2609 3033 4315 5055 7767 7827 12945 13045 15165 23481 38835 39135 117405 290831 872493 879233 1454155 2251567 2617479 2637699 4362465 4396165 6754701 7913097 11257835 13087395 13188495 20264103 33773505 39565485 101320515 758778079 2276334237 3793890395 6829002711 11381671185 34145013555