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444312402204 = 223113127219041
BaseRepresentation
bin1100111011100110001…
…01010011100100011100
31120110211220011122012110
412131303011103210130
524234422433332304
6540040404434020
744046322050666
oct6356305234434
91513756148173
10444312402204
1116148284a000
127213b3a8910
1332b8ac63188
141770d3a5536
15b856cb4289
hex677315391c

444312402204 has 96 divisors (see below), whose sum is σ = 1149308116992. Its totient is φ = 133579353600.

The previous prime is 444312402151. The next prime is 444312402227. The reversal of 444312402204 is 402204213444.

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, 1918924 + ... + 2137964.

It is an arithmetic number, because the mean of its divisors is an integer number (11971959552).

Almost surely, 2444312402204 is an apocalyptic number.

444312402204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444312402204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574654058496).

444312402204 is an abundant number, since it is smaller than the sum of its proper divisors (704995714788).

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

444312402204 is a wasteful number, since it uses less digits than its factorization.

444312402204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219208 (or 219184 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 444312402204 its reverse (402204213444), we get a palindrome (846516615648).

It can be divided in two parts, 44431240 and 2204, that added together give a palindrome (44433444).

The spelling of 444312402204 in words is "four hundred forty-four billion, three hundred twelve million, four hundred two thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 127 132 242 254 363 381 484 508 726 762 1331 1397 1452 1524 2662 2794 3993 4191 5324 5588 7986 8382 15367 15972 16764 30734 46101 61468 92202 169037 184404 219041 338074 438082 507111 657123 676148 876164 1014222 1314246 2028444 2409451 2628492 4818902 7228353 9637804 14456706 26503961 27818207 28913412 53007922 55636414 79511883 83454621 106015844 111272828 159023766 166909242 291543571 306000277 318047532 333818484 583087142 612000554 874630713 918000831 1166174284 1224001108 1749261426 1836001662 3366003047 3498522852 3672003324 6732006094 10098009141 13464012188 20196018282 37026033517 40392036564 74052067034 111078100551 148104134068 222156201102 444312402204