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104221343440 = 2451688977137
BaseRepresentation
bin110000100010000010…
…0110111111011010000
3100222000100211210211001
41201010010313323100
53201421130442230
6115513441031344
710346462542144
oct1410404677320
9328010753731
10104221343440
114022225a995
1218247625554
139a9c24c1b6
145089951224
152a9eb330ca
hex1844137ed0

104221343440 has 40 divisors (see below), whose sum is σ = 242332112520. Its totient is φ = 41685528576.

The previous prime is 104221343431. The next prime is 104221343449. The reversal of 104221343440 is 44343122401.

It is an interprime number because it is at equal distance from previous prime (104221343431) and next prime (104221343449).

It can be written as a sum of positive squares in 4 ways, for example, as 9251361856 + 94969981584 = 96184^2 + 308172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 104221343399 and 104221343408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104221343449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312552 + ... + 1389688.

It is an arithmetic number, because the mean of its divisors is an integer number (6058302813).

Almost surely, 2104221343440 is an apocalyptic number.

104221343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104221343440 is an abundant number, since it is smaller than the sum of its proper divisors (138110769080).

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

104221343440 is a wasteful number, since it uses less digits than its factorization.

104221343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94039 (or 94033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 104221343440 its reverse (44343122401), we get a palindrome (148564465841).

The spelling of 104221343440 in words is "one hundred four billion, two hundred twenty-one million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16889 33778 67556 77137 84445 135112 154274 168890 270224 308548 337780 385685 617096 675560 771370 1234192 1351120 1542740 3085480 6170960 1302766793 2605533586 5211067172 6513833965 10422134344 13027667930 20844268688 26055335860 52110671720 104221343440