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4334300411344 = 246128166123909
BaseRepresentation
bin111111000100101000011…
…011111011010111010000
3120100100120211220011101121
4333010220123323113100
51032003121401130334
613115052232012024
7625100001422641
oct77045033732720
916310524804347
104334300411344
111421191650662
125a0024531014
13255951c23c17
1410dad1abd6c8
1577b29aa8db4
hex3f1286fb5d0

4334300411344 has 80 divisors (see below), whose sum is σ = 8579066953680. Its totient is φ = 2120735232000.

The previous prime is 4334300411327. The next prime is 4334300411387. The reversal of 4334300411344 is 4431140034334.

It can be written as a sum of positive squares in 8 ways, for example, as 439250817600 + 3895049593744 = 662760^2 + 1973588^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181271262 + ... + 181295170.

It is an arithmetic number, because the mean of its divisors is an integer number (107238336921).

Almost surely, 24334300411344 is an apocalyptic number.

It is an amenable number.

4334300411344 is a deficient number, since it is larger than the sum of its proper divisors (4244766542336).

4334300411344 is a wasteful number, since it uses less digits than its factorization.

4334300411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24920 (or 24914 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 4334300411344 its reverse (4431140034334), we get a palindrome (8765440445678).

The spelling of 4334300411344 in words is "four trillion, three hundred thirty-four billion, three hundred million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 61 122 244 281 488 562 661 976 1124 1322 2248 2644 4496 5288 10576 17141 23909 34282 40321 47818 68564 80642 95636 137128 161284 185741 191272 274256 322568 371482 382544 645136 742964 1458449 1485928 2916898 2971856 5833796 6718429 11330201 11667592 13436858 15803849 22660402 23335184 26873716 31607698 45320804 53747432 63215396 90641608 107494864 126430792 181283216 252861584 409824169 819648338 964034789 1639296676 1928069578 3278593352 3856139156 4440881569 6557186704 7712278312 8881763138 15424556624 17763526276 35527052552 71054105104 270893775709 541787551418 1083575102836 2167150205672 4334300411344