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41311312032 = 2537315737547
BaseRepresentation
bin100110011110010110…
…001001100010100000
310221122001112002102210
4212132112021202200
51134101143441112
630551140442120
72661506233644
oct463626114240
9127561462383
1041311312032
111657a1821a1
12800b0a9340
133b8494b343
141ddc7d4c24
15111bbadb3c
hex99e5898a0

41311312032 has 96 divisors (see below), whose sum is σ = 110630826432. Its totient is φ = 13494933504.

The previous prime is 41311311989. The next prime is 41311312073. The reversal of 41311312032 is 23021311314.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081483 + ... + 1119029.

It is an arithmetic number, because the mean of its divisors is an integer number (1152404442).

Almost surely, 241311312032 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 41311312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55315413216).

41311312032 is an abundant number, since it is smaller than the sum of its proper divisors (69319514400).

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

41311312032 is a wasteful number, since it uses less digits than its factorization.

41311312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37790 (or 37782 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 41311312032 its reverse (23021311314), we get a palindrome (64332623346).

The spelling of 41311312032 in words is "forty-one billion, three hundred eleven million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 157 219 292 314 438 471 584 628 876 942 1168 1256 1752 1884 2336 2512 3504 3768 5024 7008 7536 11461 15072 22922 34383 37547 45844 68766 75094 91688 112641 137532 150188 183376 225282 275064 300376 366752 450564 550128 600752 901128 1100256 1201504 1802256 2740931 3604512 5481862 5894879 8222793 10963724 11789758 16445586 17684637 21927448 23579516 32891172 35369274 43854896 47159032 65782344 70738548 87709792 94318064 131564688 141477096 188636128 263129376 282954192 430326167 565908384 860652334 1290978501 1721304668 2581957002 3442609336 5163914004 6885218672 10327828008 13770437344 20655656016 41311312032