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444216612444 = 2231122303150889
BaseRepresentation
bin1100111011011010101…
…11111001011001011100
31120110121012221000100120
412131231113321121130
524234223423044234
6540023103354540
744044046622363
oct6355527713134
91513535830316
10444216612444
11161433773810
12721132b2a50
1332b74164b47
141770078c7da
15b84d692049
hex676d5f965c

444216612444 has 48 divisors (see below), whose sum is σ = 1130791388160. Its totient is φ = 134604167040.

The previous prime is 444216612407. The next prime is 444216612461.

444216612444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444216612396 and 444216612405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2868552 + ... + 3019440.

It is an arithmetic number, because the mean of its divisors is an integer number (23558153920).

Almost surely, 2444216612444 is an apocalyptic number.

444216612444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444216612444 is an abundant number, since it is smaller than the sum of its proper divisors (686574775716).

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

444216612444 is a wasteful number, since it uses less digits than its factorization.

444216612444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173210 (or 173208 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 444216612444 in words is "four hundred forty-four billion, two hundred sixteen million, six hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 22303 44606 66909 89212 133818 150889 245333 267636 301778 452667 490666 603556 735999 905334 981332 1471998 1659779 1810668 2943996 3319558 4979337 6639116 9958674 19917348 3365277367 6730554734 10095832101 13461109468 20191664202 37018051037 40383328404 74036102074 111054153111 148072204148 222108306222 444216612444