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41434122143414 = 271113198963121531
BaseRepresentation
bin10010110101111001000100…
…01000011100011010110110
312102201001201012202021212202
421122330202020130122312
520412324040232042124
6224042323430544502
711504342113115330
oct1132744210343266
9172631635667782
1041434122143414
1112225126845790
124792263808132
131a172b4582830
14a335ca79a450
154bcbe38065ae
hex25af2221c6b6

41434122143414 has 128 divisors (see below), whose sum is σ = 87850252062720. Its totient is φ = 14115408105600.

The previous prime is 41434122143371. The next prime is 41434122143417.

41434122143414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41434122143417) 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, 340873829 + ... + 340995359.

It is an arithmetic number, because the mean of its divisors is an integer number (686330094240).

Almost surely, 241434122143414 is an apocalyptic number.

41434122143414 is an abundant number, since it is smaller than the sum of its proper divisors (46416129919306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41434122143414 is a wasteful number, since it uses less digits than its factorization.

41434122143414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130546.

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 4143412 and 2143414, that added together give a palindrome (6286826).

The spelling of 41434122143414 in words is "forty-one trillion, four hundred thirty-four billion, one hundred twenty-two million, one hundred forty-three thousand, four hundred fourteen".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 1001 1463 1729 2002 2717 2926 3458 5434 8963 17926 19019 38038 62741 98593 116519 121531 125482 170297 197186 233038 243062 340594 690151 815633 850717 1192079 1281709 1336841 1380302 1579903 1631266 1701434 1873267 2213861 2309089 2384158 2563418 2673682 3159806 3746534 4427722 4618178 8971963 9357887 11059321 13112869 15497027 16163623 17378933 17943926 18715774 22118642 24352471 25399979 26225738 30018157 30994054 32327246 34757866 48704942 50799958 60036314 121652531 170467297 177799853 210127099 243305062 330199727 340934594 355599706 420254198 660399454 1089282353 2178564706 2311398089 4622796178 7624976471 11982105883 14160670589 15249952942 20696364707 23964211766 28321341178 41392729414 83874741181 99124694123 144874552949 155767376479 167749482362 198249388246 227660011777 269052741191 289749105898 311534752958 455320023554 538105482382 1090371635353 1593620082439 1883369188337 2180743270706 2959580153101 3187240164878 3766738376674 5919160306202 20717061071707 41434122143414