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41021222212014 = 23115997449241877
BaseRepresentation
bin10010101001110111111110…
…11000001101000110101110
312101020120221111200111201220
421110323333120031012232
520334042430341241024
6223124520032244210
711432454061446012
oct1124737730150656
9171216844614656
1041021222212014
1112086003576a60
1247262303a0666
1319b739150b5b5
14a1b61b27a542
154b20c9675e79
hex254eff60d1ae

41021222212014 has 128 divisors (see below), whose sum is σ = 92161323072000. Its totient is φ = 12067019489280.

The previous prime is 41021222211953. The next prime is 41021222212039.

41021222212014 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169474444 + ... + 169716320.

It is an arithmetic number, because the mean of its divisors is an integer number (720010336500).

Almost surely, 241021222212014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41021222212014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080661536000).

41021222212014 is an abundant number, since it is smaller than the sum of its proper divisors (51140100859986).

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

41021222212014 is a wasteful number, since it uses less digits than its factorization.

41021222212014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242498.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4102122 and 2212014, that added together give a palindrome (6314136).

The spelling of 41021222212014 in words is "forty-one trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 59 66 97 118 177 194 291 354 449 582 649 898 1067 1298 1347 1947 2134 2694 3201 3894 4939 5723 6402 9878 11446 14817 17169 26491 29634 34338 43553 52982 62953 79473 87106 125906 130659 158946 188859 241877 261318 291401 377718 479083 483754 582802 725631 874203 958166 1437249 1451262 1748406 2569627 2660647 2874498 5139254 5321294 7708881 7981941 14270743 15417762 15963882 23462069 28265897 28541486 42812229 46924138 56531794 70386207 84797691 85624458 108602773 140772414 156978173 169595382 217205546 258082759 313956346 325808319 470934519 516165518 651616638 774248277 941869038 1194630503 1384262071 1548496554 2389261006 2768524142 3583891509 4152786213 6407563607 7167783018 8305572426 10534468981 12815127214 15226882781 19222690821 21068937962 30453765562 31603406943 38445381642 45680648343 63206813886 70483199677 91361296686 115879158791 140966399354 211449599031 231758317582 347637476373 422899198062 621533669879 695274952746 1243067339758 1864601009637 3729202019274 6836870368669 13673740737338 20510611106007 41021222212014