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34044343112031 = 3712611128551201
BaseRepresentation
bin1111011110110100100001…
…11110100101000101011111
311110112121101210202221120220
413233122100332211011133
513430240303314041111
6200223431052012423
710112423362545330
oct757322076450537
9143477353687526
1034044343112031
11a93614117504a
12399a031761113
1315cc4a20228c5
14859a7da04287
153e0888bb8e06
hex1ef690fa515f

34044343112031 has 16 divisors (see below), whose sum is σ = 51881208307968. Its totient is φ = 19452367584000.

The previous prime is 34044343111993. The next prime is 34044343112099. The reversal of 34044343112031 is 13021134344043.

It is not a de Polignac number, because 34044343112031 - 223 = 34044334723423 is a prime.

It is a super-3 number, since 3×340443431120313 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34044343111983 and 34044343112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044343112431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64010770 + ... + 64540431.

It is an arithmetic number, because the mean of its divisors is an integer number (3242575519248).

Almost surely, 234044343112031 is an apocalyptic number.

34044343112031 is a deficient number, since it is larger than the sum of its proper divisors (17836865195937).

34044343112031 is a wasteful number, since it uses less digits than its factorization.

34044343112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128563822.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 34044343112031 its reverse (13021134344043), we get a palindrome (47065477456074).

The spelling of 34044343112031 in words is "thirty-four trillion, forty-four billion, three hundred forty-three million, one hundred twelve thousand, thirty-one".

Divisors: 1 3 7 21 12611 37833 88277 264831 128551201 385653603 899858407 2699575221 1621159195811 4863477587433 11348114370677 34044343112031