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2440124001 = 33721997073
BaseRepresentation
bin1001000101110001…
…0101011001100001
320022001112010212000
42101130111121201
514444132432001
61042044154213
7114316466100
oct22134253141
96261463760
102440124001
111042428307
12581238969
132cb6c6a73
14192106037
15e434ea86
hex91715661

2440124001 has 48 divisors (see below), whose sum is σ = 4426574400. Its totient is φ = 1320955776.

The previous prime is 2440123993. The next prime is 2440124009. The reversal of 2440124001 is 1004210442.

2440124001 is a `hidden beast` number, since 24 + 401 + 240 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2440123993) and next prime (2440124009).

It is not a de Polignac number, because 2440124001 - 23 = 2440123993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2440124009) 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, 23400 + ... + 73673.

It is an arithmetic number, because the mean of its divisors is an integer number (92220300).

Almost surely, 22440124001 is an apocalyptic number.

2440124001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2440124001 is a deficient number, since it is larger than the sum of its proper divisors (1986450399).

2440124001 is a wasteful number, since it uses less digits than its factorization.

2440124001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97115 (or 97102 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2440124001 is about 49397.6112884014. The cubic root of 2440124001 is about 1346.2859048004.

Adding to 2440124001 its reverse (1004210442), we get a palindrome (3444334443).

The spelling of 2440124001 in words is "two billion, four hundred forty million, one hundred twenty-four thousand, one".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 931 1197 1323 2793 3591 8379 25137 97073 291219 679511 873657 1844387 2038533 2620971 4756577 5533161 6115599 12910709 14269731 16599483 18346797 38732127 42809193 49798449 90374963 116196381 128427579 271124889 348589143 813374667 2440124001