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4344200343340 = 225111314871021487
BaseRepresentation
bin111111001101110110100…
…001001010111100101100
3120101022010210100211000121
4333031312201022330230
51032133410241441330
613123410441534324
7625600222440304
oct77156641127454
916338123324017
104344200343340
111425401928040
125a1b27aa43a4
1325686bc75950
14110390834604
1578008c9c17a
hex3f37684af2c

4344200343340 has 96 divisors (see below), whose sum is σ = 10724937560064. Its totient is φ = 1457211068160.

The previous prime is 4344200343313. The next prime is 4344200343347. The reversal of 4344200343340 is 433430024434.

It is a junction number, because it is equal to n+sod(n) for n = 4344200343296 and 4344200343305.

It is not an unprimeable number, because it can be changed into a prime (4344200343347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3742077 + ... + 4763563.

It is an arithmetic number, because the mean of its divisors is an integer number (111718099584).

Almost surely, 24344200343340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344200343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362468780032).

4344200343340 is an abundant number, since it is smaller than the sum of its proper divisors (6380737216724).

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

4344200343340 is a wasteful number, since it uses less digits than its factorization.

4344200343340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023007 (or 1023005 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 4344200343340 its reverse (433430024434), we get a palindrome (4777630367774).

The spelling of 4344200343340 in words is "four trillion, three hundred forty-four billion, two hundred million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 1487 2860 2974 5948 7435 14870 16357 19331 29740 32714 38662 65428 77324 81785 96655 163570 193310 212641 327140 386620 425282 850564 1021487 1063205 2042974 2126410 4085948 4252820 5107435 10214870 11236357 13279331 20429740 22472714 26558662 44945428 53117324 56181785 66396655 112363570 132793310 146072641 224727140 265586620 292145282 584290564 730363205 1460726410 1518951169 2921452820 3037902338 6075804676 7594755845 15189511690 16708462859 19746365197 30379023380 33416925718 39492730394 66833851436 78985460788 83542314295 98731825985 167084628590 197463651970 217210017167 334169257180 394927303940 434420034334 868840068668 1086050085835 2172100171670 4344200343340