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41143406634 = 232112145313001
BaseRepresentation
bin100110010100010101…
…101001000000101010
310221012100120121112100
4212110111221000222
51133230203003014
630522341554230
72654400120561
oct462425510052
9127170517470
1041143406634
11164a3420400
127b82a15976
133b58c20535
141dc43a8bd8
15110c094009
hex99456902a

41143406634 has 72 divisors (see below), whose sum is σ = 98059757796. Its totient is φ = 12458160000.

The previous prime is 41143406627. The next prime is 41143406653. The reversal of 41143406634 is 43660434114.

41143406634 is a `hidden beast` number, since 4 + 1 + 14 + 3 + 4 + 0 + 6 + 634 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41121756225 + 21650409 = 202785^2 + 4653^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3158134 + ... + 3171134.

Almost surely, 241143406634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41143406634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49029878898).

41143406634 is an abundant number, since it is smaller than the sum of its proper divisors (56916351162).

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

41143406634 is a wasteful number, since it uses less digits than its factorization.

41143406634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14484 (or 14470 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 41143406634 in words is "forty-one billion, one hundred forty-three million, four hundred six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1453 2178 2906 4359 8718 13001 13077 15983 26002 26154 31966 39003 47949 78006 95898 117009 143011 143847 175813 234018 286022 287694 351626 429033 527439 858066 1054878 1287099 1573121 1582317 2574198 3146242 3164634 4719363 9438726 14158089 18890453 28316178 37780906 56671359 113342718 170014077 207794983 340028154 415589966 623384949 1246769898 1870154847 2285744813 3740309694 4571489626 6857234439 13714468878 20571703317 41143406634