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41110004123104 = 2573131549378533
BaseRepresentation
bin10010101100011101010110…
…01100010100010111100000
312101120002002212111220000011
421112032223030110113200
520342021242023414404
6223233401500534304
711442046140314650
oct1126165314242740
9171502085456004
1041110004123104
111210a7226568a4
12473b489251394
1319c286cb74ab7
14a21a4049a360
154b4573ae2604
hex2563ab3145e0

41110004123104 has 96 divisors (see below), whose sum is σ = 92853178891200. Its totient is φ = 17550899638272.

The previous prime is 41110004123087. The next prime is 41110004123107. The reversal of 41110004123104 is 40132140001114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41110004123107) 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, 108414222 + ... + 108792754.

It is an arithmetic number, because the mean of its divisors is an integer number (967220613450).

Almost surely, 241110004123104 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 41110004123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46426589445600).

41110004123104 is an abundant number, since it is smaller than the sum of its proper divisors (51743174768096).

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

41110004123104 is a wasteful number, since it uses less digits than its factorization.

41110004123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380412 (or 380404 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 41110004123104 its reverse (40132140001114), we get a palindrome (81242144124218).

The spelling of 41110004123104 in words is "forty-one trillion, one hundred ten billion, four million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 313 626 1252 1549 2191 2504 3098 4382 5008 6196 8764 10016 10843 12392 17528 21686 24784 35056 43372 49568 70112 86744 173488 346976 378533 484837 757066 969674 1514132 1939348 2649731 3028264 3393859 3878696 5299462 6056528 6787718 7757392 10598924 12113056 13575436 15514784 21197848 27150872 42395696 54301744 84791392 108603488 118480829 236961658 473923316 586347617 829365803 947846632 1172695234 1658731606 1895693264 2345390468 3317463212 3791386528 4104433319 4690780936 6634926424 8208866638 9381561872 13269852848 16417733276 18763123744 26539705696 32835466552 65670933104 131341866208 183526804121 367053608242 734107216484 1284687628847 1468214432968 2569375257694 2936428865936 5138750515388 5872857731872 10277501030776 20555002061552 41110004123104