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40041300321 = 3411194157689
BaseRepresentation
bin100101010010101001…
…011100000101100001
310211100112202210220000
4211102221130011201
51124001033102241
630221132010213
72615155302621
oct452251340541
9124315683800
1040041300321
1115a882a7640
127915900969
133a117b2c19
141d1bc7c881
151095443eb6
hex952a5c161

40041300321 has 80 divisors (see below), whose sum is σ = 70363339200. Its totient is φ = 22429094400.

The previous prime is 40041300289. The next prime is 40041300331. The reversal of 40041300321 is 12300314004.

40041300321 is a `hidden beast` number, since 4 + 0 + 0 + 41 + 300 + 321 = 666.

It is not a de Polignac number, because 40041300321 - 25 = 40041300289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40041300294 and 40041300303.

It is not an unprimeable number, because it can be changed into a prime (40041300331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 665245 + ... + 722933.

It is an arithmetic number, because the mean of its divisors is an integer number (879541740).

Almost surely, 240041300321 is an apocalyptic number.

40041300321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

40041300321 is a deficient number, since it is larger than the sum of its proper divisors (30322038879).

40041300321 is a wasteful number, since it uses less digits than its factorization.

40041300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57772 (or 57763 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40041300321 its reverse (12300314004), we get a palindrome (52341614325).

The spelling of 40041300321 in words is "forty billion, forty-one million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 9 11 19 27 33 41 57 81 99 123 171 209 297 369 451 513 627 779 891 1107 1353 1539 1881 2337 3321 4059 5643 7011 8569 12177 16929 21033 25707 36531 57689 63099 77121 173067 231363 519201 634579 694089 1096091 1557603 1903737 2365249 3288273 4672809 5711211 7095747 9864819 12057001 17133633 21287241 26017739 29594457 36171003 44939731 51400899 63861723 78053217 88783371 108513009 134819193 191585169 234159651 325539027 404457579 494337041 702478953 976617081 1213372737 1483011123 2107436859 3640118211 4449033369 13347100107 40041300321