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442104430211244 = 2236151613316259
BaseRepresentation
bin110010010000101110111010…
…1100001000011000010101100
32010222100202210212220101000000
41210201131311201003002230
5430421414333113224434
64204135545454104300
7162056663630446413
oct14441356541030254
92128322725811000
10442104430211244
11118960488240959
12417029731ab090
1315c8c365969488
147b25d7bb7447a
15361a23de67b99
hex19217758430ac

442104430211244 has 42 divisors (see below), whose sum is σ = 1159993482705260. Its totient is φ = 147368143402776.

The previous prime is 442104430211221. The next prime is 442104430211261. The reversal of 442104430211244 is 442112034401244.

442104430211244 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 0 + 4 + 430 + 211 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442104430211199 and 442104430211208.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 75806655214 + ... + 75806661045.

Almost surely, 2442104430211244 is an apocalyptic number.

It is an amenable number.

442104430211244 is an abundant number, since it is smaller than the sum of its proper divisors (717889052494016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442104430211244 is a wasteful number, since it uses less digits than its factorization.

442104430211244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151613316281 (or 151613316264 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 442104430211244 its reverse (442112034401244), we get a palindrome (884216464612488).

The spelling of 442104430211244 in words is "four hundred forty-two trillion, one hundred four billion, four hundred thirty million, two hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 151613316259 303226632518 454839948777 606453265036 909679897554 1364519846331 1819359795108 2729039692662 4093559538993 5458079385324 8187119077986 12280678616979 16374238155972 24561357233958 36842035850937 49122714467916 73684071701874 110526107552811 147368143403748 221052215105622 442104430211244