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41120100032 = 2611535918679
BaseRepresentation
bin100110010010111100…
…101110111011000000
310221010201201111212212
4212102330232323000
51133203221200112
630520150241252
72653665040364
oct462274567300
9127121644785
1041120100032
1116491251850
127b77056228
133b5415004b
141dc125d2a4
151109edd522
hex992f2eec0

41120100032 has 112 divisors (see below), whose sum is σ = 92237356800. Its totient is φ = 18026511360.

The previous prime is 41120100031. The next prime is 41120100059. The reversal of 41120100032 is 23000102114.

41120100032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41120100031) 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, 2192069 + ... + 2210747.

Almost surely, 241120100032 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 41120100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46118678400).

41120100032 is an abundant number, since it is smaller than the sum of its proper divisors (51117256768).

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

41120100032 is a wasteful number, since it uses less digits than its factorization.

41120100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18814 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 41120100032 its reverse (23000102114), we get a palindrome (64120202146).

The spelling of 41120100032 in words is "forty-one billion, one hundred twenty million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 59 64 88 106 118 176 212 236 352 424 472 583 649 704 848 944 1166 1298 1696 1888 2332 2596 3127 3392 3776 4664 5192 6254 9328 10384 12508 18656 18679 20768 25016 34397 37312 37358 41536 50032 68794 74716 100064 137588 149432 200128 205469 275176 298864 410938 550352 597728 821876 989987 1100704 1102061 1195456 1643752 1979974 2201408 2204122 3287504 3959948 4408244 6575008 7919896 8816488 10889857 12122671 13150016 15839792 17632976 21779714 24245342 31679584 35265952 43559428 48490684 58409233 63359168 70531904 87118856 96981368 116818466 174237712 193962736 233636932 348475424 387925472 467273864 642501563 696950848 775850944 934547728 1285003126 1869095456 2570006252 3738190912 5140012504 10280025008 20560050016 41120100032