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41601144300224 = 2647101433316241
BaseRepresentation
bin10010111010110000001010…
…11011011010001011000000
312110022000211021101222002112
421131120011123122023000
520423043120420101344
6224251145111234452
711522404065042035
oct1135300533321300
9173260737358075
1041601144300224
1112289a45466223
1247ba6b7078a28
131a29c815b2412
14a3b712b5738c
154c221b9d7c9e
hex25d6056da2c0

41601144300224 has 112 divisors (see below), whose sum is σ = 85340347618176. Its totient is φ = 20109828096000.

The previous prime is 41601144300197. The next prime is 41601144300229. The reversal of 41601144300224 is 42200344110614.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (41601144300229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131390744 + ... + 131706984.

It is an arithmetic number, because the mean of its divisors is an integer number (761967389448).

Almost surely, 241601144300224 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 41601144300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42670173809088).

41601144300224 is an abundant number, since it is smaller than the sum of its proper divisors (43739203317952).

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

41601144300224 is a wasteful number, since it uses less digits than its factorization.

41601144300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316834 (or 316824 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 41601144300224 its reverse (42200344110614), we get a palindrome (83801488410838).

The spelling of 41601144300224 in words is "forty-one trillion, six hundred one billion, one hundred forty-four million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 64 94 101 188 202 376 404 433 752 808 866 1504 1616 1732 3008 3232 3464 4747 6464 6928 9494 13856 18988 20351 27712 37976 40702 43733 75952 81404 87466 151904 162808 174932 303808 316241 325616 349864 632482 651232 699728 1264964 1302464 1399456 2055451 2529928 2798912 4110902 5059856 8221804 10119712 14863327 16443608 20239424 29726654 31940341 32887216 59453308 63880682 65774432 118906616 127761364 131548864 136932353 237813232 255522728 273864706 475626464 511045456 547729412 951252928 1022090912 1095458824 1501196027 2044181824 2190917648 3002392054 4381835296 6004784108 6435820591 8763670592 12009568216 12871641182 13830167653 24019136432 25743282364 27660335306 48038272864 51486564728 55320670612 96076545728 102973129456 110641341224 205946258912 221282682448 411892517824 442565364896 650017879691 885130729792 1300035759382 2600071518764 5200143037528 10400286075056 20800572150112 41601144300224