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41415522144 = 25310313131973
BaseRepresentation
bin100110100100100011…
…101011011101100000
310221220022121111211120
4212210203223131200
51134304333202034
631005342212240
72664213062343
oct464443533540
9127808544746
1041415522144
1116622a89857
128039b84080
133ba0407229
14200c5a045a
151125de5c49
hex9a48eb760

41415522144 has 96 divisors (see below), whose sum is σ = 110612646144. Its totient is φ = 13566359040.

The previous prime is 41415522143. The next prime is 41415522149. The reversal of 41415522144 is 44122551414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41415522143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279342 + ... + 1311314.

It is an arithmetic number, because the mean of its divisors is an integer number (1152215064).

Almost surely, 241415522144 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 41415522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55306323072).

41415522144 is an abundant number, since it is smaller than the sum of its proper divisors (69197124000).

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

41415522144 is a wasteful number, since it uses less digits than its factorization.

41415522144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32220 (or 32212 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The spelling of 41415522144 in words is "forty-one billion, four hundred fifteen million, five hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 131 206 262 309 393 412 524 618 786 824 1048 1236 1572 1648 2096 2472 3144 3296 4192 4944 6288 9888 12576 13493 26986 31973 40479 53972 63946 80958 95919 107944 127892 161916 191838 215888 255784 323832 383676 431776 511568 647664 767352 1023136 1295328 1534704 3069408 3293219 4188463 6586438 8376926 9879657 12565389 13172876 16753852 19759314 25130778 26345752 33507704 39518628 50261556 52691504 67015408 79037256 100523112 105383008 134030816 158074512 201046224 316149024 402092448 431411689 862823378 1294235067 1725646756 2588470134 3451293512 5176940268 6902587024 10353880536 13805174048 20707761072 41415522144