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14004353440 = 2557111136717
BaseRepresentation
bin11010000101011100…
…10111100110100000
31100010222122212101001
431002232113212200
5212140103302230
610233345521344
71004020016530
oct150256274640
940128585331
1014004353440
115a37102020
12286a043254
1314224a458c
1496bccb4c0
1556e6e30ca
hex342b979a0

14004353440 has 96 divisors (see below), whose sum is σ = 41249222784. Its totient is φ = 4364989440.

The previous prime is 14004353411. The next prime is 14004353497. The reversal of 14004353440 is 4435340041.

It is a super-2 number, since 2×140043534402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14004353399 and 14004353408.

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, 556039 + ... + 580678.

It is an arithmetic number, because the mean of its divisors is an integer number (429679404).

Almost surely, 214004353440 is an apocalyptic number.

14004353440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004353440 is an abundant number, since it is smaller than the sum of its proper divisors (27244869344).

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

14004353440 is a wasteful number, since it uses less digits than its factorization.

14004353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136750 (or 1136742 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 14004353440 its reverse (4435340041), we get a palindrome (18439693481).

The spelling of 14004353440 in words is "fourteen billion, four million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 1136717 2273434 4546868 5683585 7957019 9093736 11367170 12503887 15914038 18187472 22734340 25007774 31828076 36374944 39785095 45468680 50015548 62519435 63656152 79570190 87527209 90937360 100031096 125038870 127312304 159140380 175054418 181874720 200062192 250077740 254624608 318280760 350108836 400124384 437636045 500155480 636561520 700217672 875272090 1000310960 1273123040 1400435344 1750544180 2000621920 2800870688 3501088360 7002176720 14004353440