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40034121411123 = 347594297278503
BaseRepresentation
bin10010001101001001010111…
…00101011110101000110011
312020202020001202101021220000
421012210223211132220303
520221404340040123443
6221051231012321043
711301240564205320
oct1106445345365063
9166666052337800
1040034121411123
11118354149382a4
1245a6a6a313183
131945280780568
149c593a03db47
154965a559e8d3
hex24692b95ea33

40034121411123 has 80 divisors (see below), whose sum is σ = 69522351951360. Its totient is φ = 22483586772864.

The previous prime is 40034121411101. The next prime is 40034121411139. The reversal of 40034121411123 is 32111412143004.

It is a happy number.

40034121411123 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 4 + 121 + 411 + 123 = 666.

40034121411123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40034121411123 - 28 = 40034121410867 is a prime.

It is a super-2 number, since 2×400341214111232 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40034121411923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143608290 + ... + 143886792.

It is an arithmetic number, because the mean of its divisors is an integer number (869029399392).

Almost surely, 240034121411123 is an apocalyptic number.

40034121411123 is a deficient number, since it is larger than the sum of its proper divisors (29488230540237).

40034121411123 is a wasteful number, since it uses less digits than its factorization.

40034121411123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282878 (or 282869 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40034121411123 its reverse (32111412143004), we get a palindrome (72145533554127).

The spelling of 40034121411123 in words is "forty trillion, thirty-four billion, one hundred twenty-one million, four hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 59 63 81 177 189 413 531 567 1239 1593 3717 4297 4779 11151 12891 30079 33453 38673 90237 116019 253523 270711 278503 348057 760569 812133 835509 1774661 1949521 2281707 2436399 2506527 5323983 5848563 6845121 7519581 15971949 16431677 17545689 20535363 22558743 47915847 49295031 52637067 115021739 143747541 147885093 157911201 345065217 443655279 1035195651 1196727391 1330965837 3105586953 3590182173 8377091737 9316760859 10770546519 25131275211 32311639557 70606916069 75393825633 96934918671 211820748207 226181476899 494248412483 635462244621 678544430697 1482745237449 1906386733863 4448235712347 5719160201589 13344707137041 40034121411123