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41020245024 = 25311388110009
BaseRepresentation
bin100110001100111111…
…110100010000100000
310220212202211100120020
4212030333310100200
51133002140320044
630502222113440
72651343221043
oct461477642040
9126782740506
1041020245024
111643a94a250
127b4971b880
133b3955a545
141db1ca8c5a
151101366a19
hex98cff4420

41020245024 has 96 divisors (see below), whose sum is σ = 117509071680. Its totient is φ = 12425932800.

The previous prime is 41020245023. The next prime is 41020245043. The reversal of 41020245024 is 42054202014.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41020244985 and 41020245003.

It is not an unprimeable number, because it can be changed into a prime (41020245023) 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, 4093332 + ... + 4103340.

It is an arithmetic number, because the mean of its divisors is an integer number (1224052830).

Almost surely, 241020245024 is an apocalyptic number.

41020245024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41020245024 is an abundant number, since it is smaller than the sum of its proper divisors (76488826656).

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

41020245024 is a wasteful number, since it uses less digits than its factorization.

41020245024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 41020245024 its reverse (42054202014), we get a palindrome (83074447038).

The spelling of 41020245024 in words is "forty-one billion, twenty million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3881 7762 10009 11643 15524 20018 23286 30027 31048 40036 42691 46572 60054 62096 80072 85382 93144 110099 120108 124192 128073 160144 170764 186288 220198 240216 256146 320288 330297 341528 372576 440396 480432 512292 660594 683056 880792 960864 1024584 1321188 1366112 1761584 2049168 2642376 3523168 4098336 5284752 10569504 38844929 77689858 116534787 155379716 233069574 310759432 427294219 466139148 621518864 854588438 932278296 1243037728 1281882657 1709176876 1864556592 2563765314 3418353752 3729113184 5127530628 6836707504 10255061256 13673415008 20510122512 41020245024