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41213250352224 = 253472959217933
BaseRepresentation
bin10010101111011101101010…
…01001011011010001100000
312101220221121021111202110000
421113232311021123101200
520400214214042232344
6223353034505540000
711452362522634206
oct1127566511332140
9171827537452400
1041213250352224
111214a49443a985
1247574a21a4600
1319cc51508ac72
14a26a366db076
154b70b7d0ca69
hex257bb525b460

41213250352224 has 120 divisors (see below), whose sum is σ = 121209241950720. Its totient is φ = 13737498787584.

The previous prime is 41213250352171. The next prime is 41213250352237. The reversal of 41213250352224 is 42225305231214.

41213250352224 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 32 + 50 + 352 + 224 = 666.

41213250352224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189000762 + ... + 189218694.

It is an arithmetic number, because the mean of its divisors is an integer number (1010077016256).

Almost surely, 241213250352224 is an apocalyptic number.

It is an amenable number.

41213250352224 is an abundant number, since it is smaller than the sum of its proper divisors (79995991598496).

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

41213250352224 is a wasteful number, since it uses less digits than its factorization.

41213250352224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290914 (or 290897 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 41213250352224 its reverse (42225305231214), we get a palindrome (83438555583438).

The spelling of 41213250352224 in words is "forty-one trillion, two hundred thirteen billion, two hundred fifty million, three hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 72959 145918 217933 218877 291836 435866 437754 583672 653799 656631 871732 875508 1167344 1307598 1313262 1743464 1751016 1961397 1969893 2334688 2615196 2626524 3486928 3502032 3922794 3939786 5230392 5253048 5884191 5909679 6973856 7004064 7845588 7879572 10460784 10506096 11768382 11819358 15691176 15759144 17652573 20921568 21012192 23536764 23638716 31382352 31518288 35305146 47073528 47277432 62764704 63036576 70610292 94147056 94554864 141220584 188294112 189109728 282441168 564882336 15900173747 31800347494 47700521241 63600694988 95401042482 127201389976 143101563723 190802084964 254402779952 286203127446 381604169928 429304691169 508805559904 572406254892 763208339856 858609382338 1144812509784 1287914073507 1526416679712 1717218764676 2289625019568 2575828147014 3434437529352 4579250039136 5151656294028 6868875058704 10303312588056 13737750117408 20606625176112 41213250352224