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71422322322417 = 31129378324302011
BaseRepresentation
bin10000001111010101001110…
…001001101010101111110001
3100100212220111110000000222120
4100033111032021222233301
533330140404003304132
6411522543435024453
721021043504632213
oct2017251611525761
9310786443000876
1071422322322417
1120837044a7a660
12801615b29b129
1330b1133177b81
14138cc049565b3
1583ccd270202c
hex40f54e26abf1

71422322322417 has 64 divisors (see below), whose sum is σ = 111703712117760. Its totient is φ = 40174138771200.

The previous prime is 71422322322391. The next prime is 71422322322469.

71422322322417 is nontrivially palindromic in base 10.

71422322322417 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 71422322322417 - 232 = 71418027355121 is a prime.

It is a super-2 number, since 2×714223223224172 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71422322322017) 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, 9212059 + ... + 15089952.

It is an arithmetic number, because the mean of its divisors is an integer number (1745370501840).

Almost surely, 271422322322417 is an apocalyptic number.

It is an amenable number.

71422322322417 is a deficient number, since it is larger than the sum of its proper divisors (40281389795343).

71422322322417 is a wasteful number, since it uses less digits than its factorization.

71422322322417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24302174.

The product of its digits is 451584, while the sum is 42.

It can be divided in two parts, 7142232 and 2322417, that added together give a palindrome (9464649).

The spelling of 71422322322417 in words is "seventy-one trillion, four hundred twenty-two billion, three hundred twenty-two million, three hundred twenty-two thousand, four hundred seventeen".

Divisors: 1 3 11 29 33 37 83 87 111 249 319 407 913 957 1073 1221 2407 2739 3071 3219 7221 9213 11803 26477 33781 35409 79431 89059 101343 267177 979649 2938947 24302011 72906033 267322121 704758319 801966363 899174407 2017066913 2114274957 2697523221 6051200739 7752341509 9890918477 22187736043 23257024527 26076057803 29672755431 58494940477 66563208129 74631475781 78228173409 175484821431 223894427343 286836635833 643444345247 820946233591 860509907499 1930333035741 2164312797649 2462838700773 6492938392947 23807440774139 71422322322417