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34401240034011 = 328944396947777
BaseRepresentation
bin1111101001001101010011…
…01100010010101011011011
311111210201121120022002021200
413310212221230102223123
514002112214422042021
6201055413403405243
710150256540411004
oct764465154225333
9144721546262250
1034401240034011
11aa63536184a14
123a37235823823
13162703b746646
1486d0594401ab
153e9cc6475126
hex1f49a9b12adb

34401240034011 has 24 divisors (see below), whose sum is σ = 50362431715440. Its totient is φ = 22625284171776.

The previous prime is 34401240033977. The next prime is 34401240034103. The reversal of 34401240034011 is 11043004210443.

34401240034011 is a `hidden beast` number, since 3 + 4 + 401 + 240 + 0 + 3 + 4 + 0 + 11 = 666.

It is not a de Polignac number, because 34401240034011 - 210 = 34401240032987 is a prime.

It is a super-2 number, since 2×344012400340112 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34401240030011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48119046 + ... + 48828731.

It is an arithmetic number, because the mean of its divisors is an integer number (2098434654810).

Almost surely, 234401240034011 is an apocalyptic number.

34401240034011 is a deficient number, since it is larger than the sum of its proper divisors (15961191681429).

34401240034011 is a wasteful number, since it uses less digits than its factorization.

34401240034011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96948315 (or 96948312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34401240034011 its reverse (11043004210443), we get a palindrome (45444244244454).

The spelling of 34401240034011 in words is "thirty-four trillion, four hundred one billion, two hundred forty million, thirty-four thousand, eleven".

Divisors: 1 3 9 89 267 443 801 1329 3987 39427 118281 354843 96947777 290843331 872529993 8628352153 25885056459 42947865211 77655169377 128843595633 386530786899 3822360003779 11467080011337 34401240034011