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104442244401 = 31161199260723
BaseRepresentation
bin110000101000100111…
…1100010110100110001
3100222120202111201222010
41201101033202310301
53202344203310101
6115551411433133
710355114300235
oct1412117426461
9328522451863
10104442244401
1140325a19070
12182a95b57a9
139b05c43a21
1450ab0145c5
152ab421a2d6
hex18513e2d31

104442244401 has 32 divisors (see below), whose sum is σ = 155182924800. Its totient is φ = 61947547200.

The previous prime is 104442244373. The next prime is 104442244409.

104442244401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104442244401 - 27 = 104442244273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104442244409) 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 31 ways as a sum of consecutive naturals, for example, 270226 + ... + 530948.

It is an arithmetic number, because the mean of its divisors is an integer number (4849466400).

Almost surely, 2104442244401 is an apocalyptic number.

104442244401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104442244401 is a deficient number, since it is larger than the sum of its proper divisors (50740680399).

104442244401 is a wasteful number, since it uses less digits than its factorization.

104442244401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260997.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 104442 and 244401, that added together give a palindrome (348843).

The spelling of 104442244401 in words is "one hundred four billion, four hundred forty-two million, two hundred forty-four thousand, four hundred one".

Divisors: 1 3 11 33 61 183 199 597 671 2013 2189 6567 12139 36417 133529 260723 400587 782169 2867953 8603859 15904103 47712309 51883877 155651631 174945133 524835399 570722647 1712167941 3164916497 9494749491 34814081467 104442244401