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34002412011 = 3317179557743
BaseRepresentation
bin11111101010101100…
…111010000111101011
310020202200112111111000
4133222230322013223
51024114104141021
623342005410043
72312416506351
oct375254720753
9106680474430
1034002412011
1113469525457
12670b409923
13328b64c629
141907c297d1
15d401c8b26
hex7eab3a1eb

34002412011 has 64 divisors (see below), whose sum is σ = 53803699200. Its totient is φ = 21149065728.

The previous prime is 34002411983. The next prime is 34002412019. The reversal of 34002412011 is 11021420043.

34002412011 is a `hidden beast` number, since 3 + 400 + 241 + 20 + 1 + 1 = 666.

It is not a de Polignac number, because 34002412011 - 211 = 34002409963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34002412019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45763306 + ... + 45764048.

It is an arithmetic number, because the mean of its divisors is an integer number (840682800).

Almost surely, 234002412011 is an apocalyptic number.

34002412011 is a deficient number, since it is larger than the sum of its proper divisors (19801287189).

34002412011 is a wasteful number, since it uses less digits than its factorization.

34002412011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34002412011 its reverse (11021420043), we get a palindrome (45023832054).

The spelling of 34002412011 in words is "thirty-four billion, two million, four hundred twelve thousand, eleven".

Divisors: 1 3 9 17 27 51 153 179 459 537 557 743 1611 1671 2229 3043 4833 5013 6687 9129 9469 12631 15039 20061 27387 28407 37893 82161 85221 99703 113679 132997 255663 299109 341037 398991 413851 897327 1196973 1241553 1694951 2260949 2691981 3590919 3724659 5084853 6782847 7035467 11173977 15254559 20348541 21106401 45763677 61045623 63319203 74079329 189957609 222237987 666713961 1259348593 2000141883 3778045779 11334137337 34002412011