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40022320401 = 357223146141
BaseRepresentation
bin100101010001100001…
…000010010100010001
310211022020001112100000
4211101201002110101
51123431203223101
630215213120213
72614535052600
oct452141022421
9124266045300
1040022320401
1115a78613758
12790b489069
133a0a898bbb
141d1953ba37
151093945486
hex951842511

40022320401 has 72 divisors (see below), whose sum is σ = 72771701184. Its totient is φ = 21875404320.

The previous prime is 40022320381. The next prime is 40022320427. The reversal of 40022320401 is 10402322004.

40022320401 is a `hidden beast` number, since 40 + 0 + 223 + 2 + 0 + 401 = 666.

It is not a de Polignac number, because 40022320401 - 29 = 40022319889 is a prime.

It is a super-2 number, since 2×400223204012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40022520401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200791 + ... + 346931.

It is an arithmetic number, because the mean of its divisors is an integer number (1010718072).

Almost surely, 240022320401 is an apocalyptic number.

It is an amenable number.

40022320401 is a deficient number, since it is larger than the sum of its proper divisors (32749380783).

40022320401 is a wasteful number, since it uses less digits than its factorization.

40022320401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146193 (or 146174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40022320401 its reverse (10402322004), we get a palindrome (50424642405).

The spelling of 40022320401 in words is "forty billion, twenty-two million, three hundred twenty thousand, four hundred one".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 243 441 483 567 621 1127 1323 1449 1701 1863 3381 3969 4347 5589 10143 11907 13041 30429 39123 91287 146141 273861 438423 1022987 1315269 3068961 3361243 3945807 7160909 9206883 10083729 11837421 21482727 23528701 27620649 30251187 35512263 64448181 70586103 82861947 90753561 164700907 193344543 211758309 248585841 272260683 494102721 580033629 635274927 816782049 1482308163 1740100887 1905824781 4446924489 5717474343 13340773467 40022320401