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304139014144 = 2127212312
BaseRepresentation
bin1000110110100000001…
…10010001000000000000
31002002000222012201202021
410123100012101000000
514440334041423034
6351415230331224
730654563652100
oct4332006210000
91062028181667
10304139014144
11107a915a9949
124ab3b659b14
13228ac4a39c4
1410a12b21200
157da0c436b4
hex46d0191000

304139014144 has 117 divisors (see below), whose sum is σ = 708077555991. Its totient is φ = 130239406080.

The previous prime is 304139014121. The next prime is 304139014159. The reversal of 304139014144 is 441410931403.

The square root of 304139014144 is 551488.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 247066009 + ... + 247067239.

It is an arithmetic number, because the mean of its divisors is an integer number (6051944923).

Almost surely, 2304139014144 is an apocalyptic number.

304139014144 is the 551488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304139014144

304139014144 is an abundant number, since it is smaller than the sum of its proper divisors (403938541847).

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

304139014144 is an frugal number, since it uses more digits than its factorization.

304139014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 304139014144 its reverse (441410931403), we get a palindrome (745549945547).

The spelling of 304139014144 in words is "three hundred four billion, one hundred thirty-nine million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1231 1568 1792 2048 2462 3136 3584 4096 4924 6272 7168 8617 9848 12544 14336 17234 19696 25088 28672 34468 39392 50176 60319 68936 78784 100352 120638 137872 157568 200704 241276 275744 315136 482552 551488 630272 965104 1102976 1260544 1515361 1930208 2205952 2521088 3030722 3860416 4411904 5042176 6061444 7720832 8823808 10607527 12122888 15441664 17647616 21215054 24245776 30883328 35295232 42430108 48491552 61766656 74252689 84860216 96983104 123533312 148505378 169720432 193966208 247066624 297010756 339440864 387932416 594021512 678881728 775864832 1188043024 1357763456 1551729664 2376086048 2715526912 3103459328 4752172096 5431053824 6206918656 9504344192 10862107648 19008688384 21724215296 38017376768 43448430592 76034753536 152069507072 304139014144