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41100260640 = 2535691712379
BaseRepresentation
bin100110010001110001…
…000011010100100000
310221002100101120100120
4212101301003110200
51133133131320030
630514201120240
72653334310525
oct462161032440
9127070346316
1041100260640
111648103115a
127b70489080
133b4ccc4a6a
141dbc77714c
1511083c0010
hex991c43520

41100260640 has 96 divisors (see below), whose sum is σ = 129494998080. Its totient is φ = 10957599744.

The previous prime is 41100260639. The next prime is 41100260689. The reversal of 41100260640 is 4606200114.

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 self number, because there is not a number n which added to its sum of digits gives 41100260640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3313971 + ... + 3326349.

It is an arithmetic number, because the mean of its divisors is an integer number (1348906230).

Almost surely, 241100260640 is an apocalyptic number.

41100260640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41100260640 is an abundant number, since it is smaller than the sum of its proper divisors (88394737440).

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

41100260640 is a wasteful number, since it uses less digits than its factorization.

41100260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19314 (or 19306 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41100260640 its reverse (4606200114), we get a palindrome (45706460754).

The spelling of 41100260640 in words is "forty-one billion, one hundred million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6917 12379 13834 20751 24758 27668 34585 37137 41502 49516 55336 61895 69170 74274 83004 99032 103755 110672 123790 138340 148548 166008 185685 198064 207510 221344 247580 276680 297096 332016 371370 396128 415020 495160 553360 594192 664032 742740 830040 990320 1106720 1188384 1485480 1660080 1980640 2970960 3320160 5941920 85625543 171251086 256876629 342502172 428127715 513753258 685004344 856255430 1027506516 1284383145 1370008688 1712510860 2055013032 2568766290 2740017376 3425021720 4110026064 5137532580 6850043440 8220052128 10275065160 13700086880 20550130320 41100260640