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444321002204244 = 223311607616157459
BaseRepresentation
bin110010100000110111000101…
…1100000001010110001010100
32011021012200011121011101011000
41211001232023200022301110
5431214223403031013434
64212554130040343300
7162406063432513044
oct14501561340126124
92137180147141130
10444321002204244
1111963552a357520
1241a00478774b30
13160c03a1946a19
147ba137360d724
153657c201e9b99
hex1941b8b80ac54

444321002204244 has 96 divisors (see below), whose sum is σ = 1258735751884800. Its totient is φ = 134420911037280.

The previous prime is 444321002204207. The next prime is 444321002204269. The reversal of 444321002204244 is 442402200123444.

444321002204244 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 2 + 1 + 0 + 0 + 220 + 424 + 4 = 666.

It is a super-2 number, since 2×4443210022042442 (a number of 30 digits) contains 22 as substring.

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 = 444321002204199 and 444321002204208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307357614 + ... + 308799845.

It is an arithmetic number, because the mean of its divisors is an integer number (13111830748800).

Almost surely, 2444321002204244 is an apocalyptic number.

444321002204244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444321002204244 is an abundant number, since it is smaller than the sum of its proper divisors (814414749680556).

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

444321002204244 is a wasteful number, since it uses less digits than its factorization.

444321002204244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616158090 (or 616158082 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 444321002204244 its reverse (442402200123444), we get a palindrome (886723202327688).

The spelling of 444321002204244 in words is "four hundred forty-four trillion, three hundred twenty-one billion, two million, two hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 607 1188 1214 1821 2428 3642 5463 6677 7284 10926 13354 16389 20031 21852 26708 32778 40062 60093 65556 80124 120186 180279 240372 360558 721116 616157459 1232314918 1848472377 2464629836 3696944754 5545417131 6777732049 7393889508 11090834262 13555464098 16636251393 20333196147 22181668524 27110928196 33272502786 40666392294 60999588441 66545005572 81332784588 121999176882 182998765323 243998353764 365997530646 374007577613 731995061292 748015155226 1122022732839 1496030310452 2244045465678 3366068198517 4114083353743 4488090931356 6732136397034 8228166707486 10098204595551 12342250061229 13464272794068 16456333414972 20196409191102 24684500122458 37026750183687 40392818382204 49369000244916 74053500367374 111080250551061 148107000734748 222160501102122 444321002204244