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34413222231443 = 1123292307952529
BaseRepresentation
bin1111101001100011100111…
…11000101111110110010011
311111211212112121220210002202
413310301303320233312103
514002311234342401233
6201105114355433415
710151162504410136
oct764616370576623
9144755477823082
1034413222231443
11aa68624887220
123a3961a5b586b
1316281cacb6cb3
1486d87494621d
153ea27837abe8
hex1f4c73e2fd93

34413222231443 has 48 divisors (see below), whose sum is σ = 40585299955200. Its totient is φ = 28882726709760.

The previous prime is 34413222231431. The next prime is 34413222231511.

34413222231443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34413222231443 - 224 = 34413205454227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34413222231397 and 34413222231406.

It is not an unprimeable number, because it can be changed into a prime (34413222261443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655101803 + ... + 655154331.

It is an arithmetic number, because the mean of its divisors is an integer number (845527082400).

Almost surely, 234413222231443 is an apocalyptic number.

34413222231443 is a deficient number, since it is larger than the sum of its proper divisors (6172077723757).

34413222231443 is a wasteful number, since it uses less digits than its factorization.

34413222231443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55700 (or 55671 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 3441322 and 2231443, that added together give a palindrome (5672765).

The spelling of 34413222231443 in words is "thirty-four trillion, four hundred thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, four hundred forty-three".

Divisors: 1 11 23 29 253 319 667 841 3079 7337 9251 19343 33869 52529 70817 89291 212773 577819 778987 982201 1208167 1523341 2053693 2589439 13289837 16756751 22590623 28483829 35036843 44176889 59557097 161736791 385405273 485945779 655128067 1016068447 1779104701 3719946193 4690366939 11176752917 40919408123 51594036329 107878439597 136020641231 1186662835567 1496227053541 3128474748313 34413222231443