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41055401322 = 2321310110915937
BaseRepresentation
bin100110001111000101…
…111011010101101010
310220222012222110221100
4212033011323111222
51133040140320242
630505515422230
72652251103405
oct461705732552
9126865873840
1041055401322
1116458781741
127b59454976
133b439194a0
141db681ad3c
1511044ad54c
hex98f17b56a

41055401322 has 96 divisors (see below), whose sum is σ = 97638100560. Its totient is φ = 12391833600.

The previous prime is 41055401293. The next prime is 41055401357. The reversal of 41055401322 is 22310455014.

41055401322 is a `hidden beast` number, since 4 + 105 + 540 + 13 + 2 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32202661401 + 8852739921 = 179451^2 + 94089^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2568138 + ... + 2584074.

Almost surely, 241055401322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41055401322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48819050280).

41055401322 is an abundant number, since it is smaller than the sum of its proper divisors (56582699238).

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

41055401322 is a wasteful number, since it uses less digits than its factorization.

41055401322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168 (or 16165 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 41055401322 its reverse (22310455014), we get a palindrome (63365856336).

The spelling of 41055401322 in words is "forty-one billion, fifty-five million, four hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 109 117 202 218 234 303 327 606 654 909 981 1313 1417 1818 1962 2626 2834 3939 4251 7878 8502 11009 11817 12753 15937 22018 23634 25506 31874 33027 47811 66054 95622 99081 143117 143433 198162 207181 286234 286866 414362 429351 621543 858702 1243086 1288053 1609637 1737133 1864629 2576106 3219274 3474266 3729258 4828911 5211399 9657822 10422798 14486733 15634197 20925281 22582729 28973466 31268394 41850562 45165458 62775843 67748187 125551686 135496374 175450433 188327529 203244561 350900866 376655058 406489122 526351299 1052702598 1579053897 2280855629 3158107794 4561711258 6842566887 13685133774 20527700661 41055401322