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41200313412 = 22319253311577
BaseRepresentation
bin100110010111101110…
…101110010001000100
310221100022122202221210
4212113232232101010
51133334240012122
630532133411420
72655660612546
oct462756562104
9127308582853
1041200313412
11165225592a5
127b99a99b70
133b6795659b
141dcbb7d696
15111208540c
hex997bae444

41200313412 has 144 divisors (see below), whose sum is σ = 103886520192. Its totient is φ = 12702044160.

The previous prime is 41200313387. The next prime is 41200313447. The reversal of 41200313412 is 21431300214.

41200313412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71404068 + ... + 71404644.

It is an arithmetic number, because the mean of its divisors is an integer number (721434168).

Almost surely, 241200313412 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 41200313412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51943260096).

41200313412 is an abundant number, since it is smaller than the sum of its proper divisors (62686206780).

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

41200313412 is a wasteful number, since it uses less digits than its factorization.

41200313412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41200313412 its reverse (21431300214), we get a palindrome (62631613626).

The spelling of 41200313412 in words is "forty-one billion, two hundred million, three hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 311 318 361 577 622 636 722 933 1007 1083 1154 1244 1444 1731 1866 2014 2166 2308 3021 3462 3732 4028 4332 5909 6042 6924 10963 11818 12084 16483 17727 19133 21926 23636 30581 32889 32966 35454 38266 43852 49449 57399 61162 65778 65932 70908 76532 91743 98898 112271 114798 122324 131556 179447 183486 197796 208297 224542 229596 313177 336813 358894 366972 416594 449084 538341 581039 624891 626354 673626 717788 833188 939531 1076682 1162078 1249782 1252708 1347252 1743117 1879062 2153364 2324156 2499564 3409493 3486234 3758124 5950363 6818986 6972468 9510691 10228479 11039741 11900726 13637972 17851089 19021382 20456958 22079482 23801452 28532073 33119223 35702178 38042764 40913916 44158964 57064146 64780367 66238446 71404356 114128292 129560734 132476892 180703129 194341101 259121468 361406258 388682202 542109387 722812516 777364404 1084218774 2168437548 3433359451 6866718902 10300078353 13733437804 20600156706 41200313412