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4022040414413 = 72414346558399
BaseRepresentation
bin111010100001110100010…
…010100100100011001101
3112020111120220121202120002
4322201310102210203031
51011344114321230123
612315411100334045
7563403624304100
oct72416422444315
915214526552502
104022040414413
111310812a6119a
1254b5b9244325
1323237a12aa78
14dc94c600737
156e950e1d528
hex3a8744a48cd

4022040414413 has 24 divisors (see below), whose sum is σ = 4904275622400. Its totient is φ = 3285160562880.

The previous prime is 4022040414407. The next prime is 4022040414439. The reversal of 4022040414413 is 3144140402204.

It is not a de Polignac number, because 4022040414413 - 212 = 4022040410317 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022040414463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23192813 + ... + 23365586.

It is an arithmetic number, because the mean of its divisors is an integer number (204344817600).

Almost surely, 24022040414413 is an apocalyptic number.

4022040414413 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4022040414413 is a deficient number, since it is larger than the sum of its proper divisors (882235207987).

4022040414413 is a wasteful number, since it uses less digits than its factorization.

4022040414413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46558497 (or 46558490 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4022040414413 its reverse (3144140402204), we get a palindrome (7166180816617).

The spelling of 4022040414413 in words is "four trillion, twenty-two billion, forty million, four hundred fourteen thousand, four hundred thirteen".

Divisors: 1 7 41 43 49 287 301 1763 2009 2107 12341 86387 46558399 325908793 1908894359 2002011157 2281361551 13362260513 14014078099 82082457437 93535823591 98098546693 574577202059 4022040414413