Search a number
-
+
41035166424 = 23327237314359
BaseRepresentation
bin100110001101111000…
…101111001011011000
310220220210220102212200
4212031320233023120
51133020000311144
630503514010200
72651614105500
oct461570571330
9126823812780
1041035166424
111644831098a
127b52716960
133b3c683185
141db3c70a00
151102812c69
hex98de2f2d8

41035166424 has 144 divisors (see below), whose sum is σ = 132776233200. Its totient is φ = 11407423104.

The previous prime is 41035166411. The next prime is 41035166429. The reversal of 41035166424 is 42466153014.

41035166424 is a `hidden beast` number, since 4 + 1 + 0 + 3 + 5 + 1 + 6 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41035166429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26644 + ... + 287715.

It is an arithmetic number, because the mean of its divisors is an integer number (922057175).

Almost surely, 241035166424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41035166424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66388116600).

41035166424 is an abundant number, since it is smaller than the sum of its proper divisors (91741066776).

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

41035166424 is a wasteful number, since it uses less digits than its factorization.

41035166424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314422 (or 314408 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 41035166424 in words is "forty-one billion, thirty-five million, one hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 588 666 777 882 888 1036 1176 1332 1554 1764 1813 2072 2331 2664 3108 3528 3626 4662 5439 6216 7252 9324 10878 14504 16317 18648 21756 32634 43512 65268 130536 314359 628718 943077 1257436 1886154 2200513 2514872 2829231 3772308 4401026 5658462 6601539 7544616 8802052 11316924 11631283 13203078 15403591 17604104 19804617 22633848 23262566 26406156 30807182 34893849 39609234 46210773 46525132 52812312 61614364 69787698 79218468 81418981 92421546 93050264 104681547 123228728 138632319 139575396 158436936 162837962 184843092 209363094 244256943 277264638 279150792 325675924 369686184 418726188 488513886 554529276 569932867 651351848 732770829 837452376 977027772 1109058552 1139865734 1465541658 1709798601 1954055544 2279731468 2931083316 3419597202 4559462936 5129395803 5862166632 6839194404 10258791606 13678388808 20517583212 41035166424