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34401132114111 = 327969756311201
BaseRepresentation
bin1111101001001101000110…
…10000100111000010111111
311111210201100001020012000100
413310212203100213002333
514002112004310122421
6201055354550332143
710150254060201510
oct764464320470277
9144721301205010
1034401132114111
11aa63490274114
123a3720565a053
13162702228c009
1486d048d8aa07
153e9cbbc58c26
hex1f49a34270bf

34401132114111 has 24 divisors (see below), whose sum is σ = 56795027847584. Its totient is φ = 19655762227200.

The previous prime is 34401132114067. The next prime is 34401132114119. The reversal of 34401132114111 is 11141123110443.

34401132114111 is a `hidden beast` number, since 3 + 4 + 401 + 1 + 3 + 211 + 41 + 1 + 1 = 666.

It is not a de Polignac number, because 34401132114111 - 26 = 34401132114047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401132114119) 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, 27544690 + ... + 28766511.

Almost surely, 234401132114111 is an apocalyptic number.

34401132114111 is a deficient number, since it is larger than the sum of its proper divisors (22393895733473).

34401132114111 is a wasteful number, since it uses less digits than its factorization.

34401132114111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56320911 (or 56320908 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 34401132114111 its reverse (11141123110443), we get a palindrome (45542255224554).

The spelling of 34401132114111 in words is "thirty-four trillion, four hundred one billion, one hundred thirty-two million, one hundred fourteen thousand, one hundred eleven".

Divisors: 1 3 7 9 21 63 9697 29091 67879 87273 203637 610911 56311201 168933603 394178407 506800809 1182535221 3547605663 546049716097 1638149148291 3822348012679 4914447444873 11467044038037 34401132114111