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10424410310440 = 235725318576689
BaseRepresentation
bin1001011110110001111101…
…0001100000011100101000
31100220120020002002212122001
42113230133101200130220
52331243143014413230
634100524042540344
72124065414432200
oct227543721403450
940816202085561
1010424410310440
113359a709469a5
1212043a1b076b4
135a802caa4429
14280789217400
1513126987b0ca
hex97b1f460728

10424410310440 has 48 divisors (see below), whose sum is σ = 27284298419700. Its totient is φ = 3574083534336.

The previous prime is 10424410310423. The next prime is 10424410310453. The reversal of 10424410310440 is 4401301442401.

It can be written as a sum of positive squares in 2 ways, for example, as 10390861992196 + 33548318244 = 3223486^2 + 183162^2 .

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 = 10424410310399 and 10424410310408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2659286385 + ... + 2659290304.

Almost surely, 210424410310440 is an apocalyptic number.

10424410310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424410310440 is an abundant number, since it is smaller than the sum of its proper divisors (16859888109260).

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

10424410310440 is a wasteful number, since it uses less digits than its factorization.

10424410310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318576714 (or 5318576703 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10424410310440 its reverse (4401301442401), we get a palindrome (14825711752841).

The spelling of 10424410310440 in words is "ten trillion, four hundred twenty-four billion, four hundred ten million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5318576689 10637153378 21274306756 26592883445 37230036823 42548613512 53185766890 74460073646 106371533780 148920147292 186150184115 212743067560 260610257761 297840294584 372300368230 521220515522 744600736460 1042441031044 1303051288805 1489201472920 2084882062088 2606102577610 5212205155220 10424410310440