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4100244113417 = 17822129338381
BaseRepresentation
bin111011101010101001100…
…110000000100000001001
3112111222110001200021211112
4323222221212000200021
51014134244443112132
612415343125140105
7602142604625414
oct73525146004011
915458401607745
104100244113417
1113409a39aa7a1
125627a355a635
1323986106938a
1410264a986b7b
15719cb864ab2
hex3baa9980809

4100244113417 has 8 divisors (see below), whose sum is σ = 4341963182472. Its totient is φ = 3858583737600.

The previous prime is 4100244113411. The next prime is 4100244113489. The reversal of 4100244113417 is 7143114420014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1322785215376 + 2777458898041 = 1150124^2 + 1666571^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4100244113417 - 212 = 4100244109321 is a prime.

It is a super-2 number, since 2×41002441134172 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4100244113411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14529434 + ... + 14808947.

It is an arithmetic number, because the mean of its divisors is an integer number (542745397809).

Almost surely, 24100244113417 is an apocalyptic number.

It is an amenable number.

4100244113417 is a deficient number, since it is larger than the sum of its proper divisors (241719069055).

4100244113417 is a wasteful number, since it uses less digits than its factorization.

4100244113417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29346619.

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 4100244113417 in words is "four trillion, one hundred billion, two hundred forty-four million, one hundred thirteen thousand, four hundred seventeen".

Divisors: 1 17 8221 139757 29338381 498752477 241190830201 4100244113417