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443342243344 = 2471113173315973
BaseRepresentation
bin1100111001110010100…
…00011100011000010000
31120101100021122110102211
412130321100130120100
524230431103241334
6535400230521504
744013301614340
oct6347120343020
91511307573384
10443342243344
11161025158320
1271b0a506294
1332a64c73890
141765a5c4d20
15b7eba29a64
hex673941c610

443342243344 has 160 divisors (see below), whose sum is σ = 1154047636224. Its totient is φ = 159341783040.

The previous prime is 443342243321. The next prime is 443342243387.

443342243344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443342243297 and 443342243306.

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, 27747742 + ... + 27763714.

Almost surely, 2443342243344 is an apocalyptic number.

443342243344 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 443342243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577023818112).

443342243344 is an abundant number, since it is smaller than the sum of its proper divisors (710705392880).

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

443342243344 is a wasteful number, since it uses less digits than its factorization.

443342243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17745 (or 17739 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 443342 and 243344, that added together give a palindrome (686686).

The spelling of 443342243344 in words is "four hundred forty-three billion, three hundred forty-two million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 1733 2002 2288 3466 4004 6932 8008 12131 13864 15973 16016 19063 22529 24262 27728 31946 38126 45058 48524 63892 76252 90116 97048 111811 127784 133441 152504 157703 175703 180232 194096 207649 223622 247819 255568 266882 305008 315406 351406 360464 415298 447244 495638 533764 630812 702812 830596 894488 991276 1067528 1229921 1261624 1405624 1453543 1661192 1734733 1788976 1982552 2135056 2284139 2459842 2523248 2811248 2907086 3322384 3469466 3965104 4568278 4919684 5814172 6938932 9136556 9839368 11628344 13877864 15988973 18273112 19678736 23256688 27681209 27755728 31977946 36546224 55362418 63955892 110724836 127911784 193768463 221449672 255823568 304493299 359855717 387536926 442899344 608986598 719711434 775073852 1217973196 1439422868 1550147704 2131453093 2435946392 2518990019 2878845736 3100295408 3958412887 4262906186 4871892784 5037980038 5757691472 7916825774 8525812372 10075960076 15833651548 17051624744 20151920152 27708890209 31667303096 34103249488 40303840304 55417780418 63334606192 110835560836 221671121672 443342243344