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402314201120 = 25513732649593
BaseRepresentation
bin1011101101010111100…
…10111000100000100000
31102110102222010222010102
411312223302320200200
523042414413413440
6504453125321532
741031502200026
oct5665362704040
91373388128112
10402314201120
11145690972a07
1265b7a2662a8
132bc26c16310
141568768a716
15a6e9b72b15
hex5dabcb8820

402314201120 has 96 divisors (see below), whose sum is σ = 1037602207152. Its totient is φ = 146511839232.

The previous prime is 402314201089. The next prime is 402314201137. The reversal of 402314201120 is 21102413204.

It can be written as a sum of positive squares in 8 ways, for example, as 156698805904 + 245615395216 = 395852^2 + 495596^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 402314201092 and 402314201101.

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, 1172957 + ... + 1476636.

Almost surely, 2402314201120 is an apocalyptic number.

402314201120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402314201120 is an abundant number, since it is smaller than the sum of its proper divisors (635288006032).

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

402314201120 is a wasteful number, since it uses less digits than its factorization.

402314201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649694 (or 2649686 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 402314201120 its reverse (21102413204), we get a palindrome (423416614324).

The spelling of 402314201120 in words is "four hundred two billion, three hundred fourteen million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 73 80 104 130 146 160 208 260 292 365 416 520 584 730 949 1040 1168 1460 1898 2080 2336 2920 3796 4745 5840 7592 9490 11680 15184 18980 30368 37960 75920 151840 2649593 5299186 10598372 13247965 21196744 26495930 34444709 42393488 52991860 68889418 84786976 105983720 137778836 172223545 193420289 211967440 275557672 344447090 386840578 423934880 551115344 688894180 773681156 967101445 1102230688 1377788360 1547362312 1934202890 2514463757 2755576720 3094724624 3868405780 5028927514 5511153440 6189449248 7736811560 10057855028 12572318785 15473623120 20115710056 25144637570 30947246240 40231420112 50289275140 80462840224 100578550280 201157100560 402314201120