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13424154074001 = 32113717772062351
BaseRepresentation
bin1100001101011000110111…
…1011110101101110010001
31202112100002101012222202200
43003112031323311232101
53224420131420332001
644314545442233413
72553602023631256
oct303261573655621
952470071188680
1013424154074001
11430617400a420
121609836055869
13764b7a4ba128
14345a3808d42d
151842d6858086
hexc358def5b91

13424154074001 has 48 divisors (see below), whose sum is σ = 21737157082368. Its totient is φ = 7911504576000.

The previous prime is 13424154073991. The next prime is 13424154074011. The reversal of 13424154074001 is 10047045142431.

13424154074001 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 41 + 540 + 74 + 0 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13424154073991) and next prime (13424154074011).

It is not a de Polignac number, because 13424154074001 - 25 = 13424154073969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13424154074011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5477976 + ... + 7540326.

It is an arithmetic number, because the mean of its divisors is an integer number (452857439216).

Almost surely, 213424154074001 is an apocalyptic number.

13424154074001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13424154074001 is a deficient number, since it is larger than the sum of its proper divisors (8313003008367).

13424154074001 is a wasteful number, since it uses less digits than its factorization.

13424154074001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064182 (or 2064179 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 13424154074001 in words is "thirteen trillion, four hundred twenty-four billion, one hundred fifty-four million, seventy-four thousand, one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 1777 3663 5331 15993 19547 58641 65749 175923 197247 591741 723239 2062351 2169717 6187053 6509151 18561159 22685861 68057583 76306987 204172749 228920961 686762883 839376857 2518130571 3664797727 7554391713 10994393181 32983179543 40312774997 120938324991 135597515899 362814974973 406792547697 1220377643091 1491572674889 4474718024667 13424154074001