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41113321312 = 2572814091597
BaseRepresentation
bin100110010010100010…
…110111111101100000
310221010020222010020011
4212102202313331200
51133200002240222
630515345054304
72653553315350
oct462242677540
9127106863204
1041113321312
11164884418a8
127b74927394
133b5291877b
141dc03b6b60
1511095eec77
hex9928b7f60

41113321312 has 96 divisors (see below), whose sum is σ = 93119423040. Its totient is φ = 17503395840.

The previous prime is 41113321303. The next prime is 41113321313. The reversal of 41113321312 is 21312331114.

41113321312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41113321313) 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, 25743298 + ... + 25744894.

It is an arithmetic number, because the mean of its divisors is an integer number (969993990).

Almost surely, 241113321312 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 41113321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46559711520).

41113321312 is an abundant number, since it is smaller than the sum of its proper divisors (52006101728).

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

41113321312 is a wasteful number, since it uses less digits than its factorization.

41113321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2296 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 41113321312 its reverse (21312331114), we get a palindrome (62425652426).

The spelling of 41113321312 in words is "forty-one billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 281 409 562 818 1124 1597 1636 1967 2248 2863 3194 3272 3934 4496 5726 6388 6544 7868 8992 11179 11452 12776 13088 15736 22358 22904 25552 31472 44716 45808 51104 62944 89432 91616 114929 178864 229858 357728 448757 459716 653173 804503 897514 919432 1306346 1609006 1795028 1838864 2612692 3141299 3218012 3590056 3677728 4572211 5225384 6282598 6436024 7180112 9144422 10450768 12565196 12872048 14360224 18288844 20901536 25130392 25744096 36577688 50260784 73155376 100521568 146310752 183541613 367083226 734166452 1284791291 1468332904 2569582582 2936665808 5139165164 5873331616 10278330328 20556660656 41113321312