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41222241034224 = 24361711671187369
BaseRepresentation
bin10010101111101110011010…
…00010001001111111110000
312101221210210212001201120020
421113313031002021333300
520400341122201043344
6223401122555243440
711453131363316115
oct1127671502117760
9171853725051506
1041222241034224
1112153288447388
124759191149580
131a00318927c43
14a2724a7a890c
154b7442298719
hex257dcd089ff0

41222241034224 has 160 divisors (see below), whose sum is σ = 110418342773760. Its totient is φ = 13245327513600.

The previous prime is 41222241034171. The next prime is 41222241034229. The reversal of 41222241034224 is 42243014222214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41222241034229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34123612 + ... + 35310980.

It is an arithmetic number, because the mean of its divisors is an integer number (690114642336).

Almost surely, 241222241034224 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 41222241034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55209171386880).

41222241034224 is an abundant number, since it is smaller than the sum of its proper divisors (69196101739536).

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

41222241034224 is a wasteful number, since it uses less digits than its factorization.

41222241034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187679 (or 1187673 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 41222241034224 its reverse (42243014222214), we get a palindrome (83465255256438).

The spelling of 41222241034224 in words is "forty-one trillion, two hundred twenty-two billion, two hundred forty-one million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 71 122 142 167 183 213 244 284 334 366 426 488 501 568 668 732 852 976 1002 1136 1336 1464 1704 2004 2672 2928 3408 4008 4331 8016 8662 10187 11857 12993 17324 20374 23714 25986 30561 34648 35571 40748 47428 51972 61122 69296 71142 81496 94856 103944 122244 142284 162992 189712 207888 244488 284568 488976 569136 723277 1187369 1446554 2169831 2374738 2893108 3562107 4339662 4749476 5786216 7124214 8679324 9498952 11572432 14248428 17358648 18997904 28496856 34717296 56993712 72429509 84303199 144859018 168606398 198290623 217288527 252909597 289718036 337212796 396581246 434577054 505819194 579436072 594871869 674425592 793162492 869154108 1011638388 1158872144 1189743738 1348851184 1586324984 1738308216 2023276776 2379487476 3172649968 3476616432 4046553552 4758974952 5142495139 9517949904 10284990278 12095728003 14078634233 15427485417 20569980556 24191456006 28157268466 30854970834 36287184009 41139961112 42235902699 48382912012 56314536932 61709941668 72574368018 82279922224 84471805398 96765824024 112629073864 123419883336 145148736036 168943610796 193531648048 225258147728 246839766672 290297472072 337887221592 580594944144 675774443184 858796688213 1717593376426 2576390064639 3435186752852 5152780129278 6870373505704 10305560258556 13740747011408 20611120517112 41222241034224