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41223221104 = 241319101139743
BaseRepresentation
bin100110011001000110…
…000110111101110000
310221101220202121101211
4212121012012331300
51133411121033404
630534312405504
72656356412042
oct463106067560
9127356677354
1041223221104
111653448517a
127ba56a6894
133b6c617330
141dd0c23a92
1511140acb04
hex999186f70

41223221104 has 160 divisors (see below), whose sum is σ = 92219097600. Its totient is φ = 17694028800.

The previous prime is 41223221099. The next prime is 41223221141. The reversal of 41223221104 is 40112232214.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55481757 + ... + 55482499.

It is an arithmetic number, because the mean of its divisors is an integer number (576369360).

Almost surely, 241223221104 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 41223221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46109548800).

41223221104 is an abundant number, since it is smaller than the sum of its proper divisors (50995876496).

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

41223221104 is a wasteful number, since it uses less digits than its factorization.

41223221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 41223221104 its reverse (40112232214), we get a palindrome (81335453318).

The spelling of 41223221104 in words is "forty-one billion, two hundred twenty-three million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 101 104 139 152 202 208 247 278 304 404 494 556 743 808 988 1112 1313 1486 1616 1807 1919 1976 2224 2626 2641 2972 3614 3838 3952 5252 5282 5944 7228 7676 9659 10504 10564 11888 14039 14117 14456 15352 19318 21008 21128 24947 28078 28234 28912 30704 34333 38636 42256 49894 56156 56468 68666 75043 77272 99788 103277 112312 112936 137332 150086 154544 182507 183521 199576 206554 224624 225872 266741 274664 300172 365014 367042 399152 413108 533482 549328 600344 730028 734084 826216 975559 1066964 1200688 1342601 1425817 1460056 1468168 1652432 1951118 1962263 2133928 2685202 2851634 2920112 2936336 3467633 3902236 3924526 4267856 5370404 5703268 6935266 7804472 7849052 10430977 10740808 11406536 13870532 15608944 15698104 18535621 20861954 21481616 22813072 25509419 27741064 31396208 37071242 41723908 51018838 55482128 74142484 83447816 102037676 135602701 148284968 166895632 198188563 204075352 271205402 296569936 396377126 408150704 542410804 792754252 1084821608 1585508504 2169643216 2576451319 3171017008 5152902638 10305805276 20611610552 41223221104