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41144212200344 = 2311312557873469
BaseRepresentation
bin10010101101011101000100…
…01001110001101110011000
312101200100101220001021010212
421112232202021301232120
520343101321310402334
6223301220134430252
711444366635215401
oct1126564211615630
9171610356037125
1041144212200344
1112123187183610
124746035502388
1319c5b61cb3216
14a235677409a8
154b53c6d93ece
hex256ba2271b98

41144212200344 has 96 divisors (see below), whose sum is σ = 87117207512400. Its totient is φ = 18066113337600.

The previous prime is 41144212200341. The next prime is 41144212200349. The reversal of 41144212200344 is 44300221244114.

It is a self number, because there is not a number n which added to its sum of digits gives 41144212200344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41144212200341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46667642 + ... + 47541110.

Almost surely, 241144212200344 is an apocalyptic number.

41144212200344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41144212200344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43558603756200).

41144212200344 is an abundant number, since it is smaller than the sum of its proper divisors (45972995312056).

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

41144212200344 is a wasteful number, since it uses less digits than its factorization.

41144212200344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874105 (or 874070 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 41144212200344 its reverse (44300221244114), we get a palindrome (85444433444458).

The spelling of 41144212200344 in words is "forty-one trillion, one hundred forty-four billion, two hundred twelve million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 557 682 961 1114 1364 1922 2228 2728 3844 4456 6127 7688 10571 12254 17267 21142 24508 34534 42284 49016 69068 84568 138136 189937 379874 535277 759748 873469 1070554 1519496 1746938 2141108 3493876 4282216 5888047 6987752 9608159 11776094 19216318 23552188 27077539 38432636 47104376 54155078 76865272 108310156 216620312 297852929 486522233 595705858 839403709 973044466 1191411716 1678807418 1946088932 2382823432 3357614836 3892177864 5351744563 6715229672 9233440799 10703489126 15082189223 18466881598 21406978252 30164378446 36933763196 42813956504 60328756892 73867526392 120657513784 165904081453 331808162906 467547865913 663616325812 935095731826 1327232651624 1870191463652 3740382927304 5143026525043 10286053050086 20572106100172 41144212200344