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330044133204344 = 2313231041071325351
BaseRepresentation
bin100101100001011000110001…
…1010100011110000101111000
31121021120220121010001102022002
41023002301203110132011320
5321224420341100014334
63125540103123120132
7126342621203211446
oct11302614324360570
91537526533042262
10330044133204344
1196186a26a63179
1231024920513048
1311221049cb6160
145b70315299b96
152825312e07b7e
hex12c2c6351e178

330044133204344 has 64 divisors (see below), whose sum is σ = 695417919920640. Its totient is φ = 145703592777600.

The previous prime is 330044133204337. The next prime is 330044133204389. The reversal of 330044133204344 is 443402331440033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 330044133204298 and 330044133204307.

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, 248361269 + ... + 249686619.

It is an arithmetic number, because the mean of its divisors is an integer number (10865904998760).

Almost surely, 2330044133204344 is an apocalyptic number.

It is an amenable number.

330044133204344 is an abundant number, since it is smaller than the sum of its proper divisors (365373786716296).

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

330044133204344 is a wasteful number, since it uses less digits than its factorization.

330044133204344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429500 (or 1429496 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 38.

Adding to 330044133204344 its reverse (443402331440033), we get a palindrome (773446464644377).

The spelling of 330044133204344 in words is "three hundred thirty trillion, forty-four billion, one hundred thirty-three million, two hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 2392 104107 208214 416428 832856 1325351 1353391 2394461 2650702 2706782 4788922 5301404 5413564 9577844 10602808 10827128 17229563 19155688 30483073 31127993 34459126 60966146 62255986 68918252 121932292 124511972 137836504 243864584 249023944 396279949 792559898 1585119796 3170239592 137978316557 275956633114 551913266228 1103826532456 1793718115241 3173501280811 3587436230482 6347002561622 7174872460964 12694005123244 14349744921928 25388010246488 41255516650543 82511033301086 165022066602172 330044133204344