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44122432401 = 333123745959
BaseRepresentation
bin101001000101111001…
…101110001110010001
311012212222010210122000
4221011321232032101
51210330320314101
632134120504213
73121252326105
oct510571561621
9135788123560
1044122432401
1117791a65573
12867461b069
134212170088
1421c7cb1905
151233893486
hexa45e6e391

44122432401 has 48 divisors (see below), whose sum is σ = 69370185600. Its totient is φ = 27696129120.

The previous prime is 44122432381. The next prime is 44122432411. The reversal of 44122432401 is 10423422144.

44122432401 is a `hidden beast` number, since 4 + 4 + 1 + 224 + 32 + 401 = 666.

44122432401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44122432401 - 27 = 44122432273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44122432411) 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, 937060 + ... + 983018.

It is an arithmetic number, because the mean of its divisors is an integer number (1445212200).

Almost surely, 244122432401 is an apocalyptic number.

It is an amenable number.

44122432401 is a deficient number, since it is larger than the sum of its proper divisors (25247753199).

44122432401 is a wasteful number, since it uses less digits than its factorization.

44122432401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46067 (or 46030 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44122432401 its reverse (10423422144), we get a palindrome (54545854545).

The spelling of 44122432401 in words is "forty-four billion, one hundred twenty-two million, four hundred thirty-two thousand, four hundred one".

Divisors: 1 3 9 27 31 37 93 111 279 333 837 961 999 1147 2883 3441 8649 10323 25947 30969 35557 45959 106671 137877 320013 413631 960039 1240893 1424729 1700483 4274187 5101449 12822561 15304347 38467683 44166599 45913041 52714973 132499797 158144919 397499391 474434757 1192498173 1423304271 1634164163 4902492489 14707477467 44122432401