Search a number
-
+
4303344201440 = 255294612011811
BaseRepresentation
bin111110100111110011010…
…011010110111011100000
3120020101200110022202121212
4332213303103112323200
51031001222103421230
613052532401005252
7622622611115054
oct76476323267340
916211613282555
104303344201440
11140a046682a09
12596025323828
13252a5a71465b
1410c3d6685c64
1576e1704d895
hex3e9f34d6ee0

4303344201440 has 96 divisors (see below), whose sum is σ = 10540044012960. Its totient is φ = 1658375219200.

The previous prime is 4303344201439. The next prime is 4303344201479. The reversal of 4303344201440 is 441024433034.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4303344201397 and 4303344201406.

It is a congruent number.

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, 1133135 + ... + 3144945.

It is an arithmetic number, because the mean of its divisors is an integer number (109792125135).

Almost surely, 24303344201440 is an apocalyptic number.

4303344201440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4303344201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270022006480).

4303344201440 is an abundant number, since it is smaller than the sum of its proper divisors (6236699811520).

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

4303344201440 is a wasteful number, since it uses less digits than its factorization.

4303344201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012316 (or 2012308 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4303344201440 its reverse (441024433034), we get a palindrome (4744368634474).

The spelling of 4303344201440 in words is "four trillion, three hundred three billion, three hundred forty-four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 461 464 580 922 928 1160 1844 2305 2320 3688 4610 4640 7376 9220 13369 14752 18440 26738 36880 53476 66845 73760 106952 133690 213904 267380 427808 534760 1069520 2011811 2139040 4023622 8047244 10059055 16094488 20118110 32188976 40236220 58342519 64377952 80472440 116685038 160944880 233370076 291712595 321889760 466740152 583425190 927444871 933480304 1166850380 1854889742 1866960608 2333700760 3709779484 4637224355 4667401520 7419558968 9274448710 9334803040 14839117936 18548897420 26895901259 29678235872 37097794840 53791802518 74195589680 107583605036 134479506295 148391179360 215167210072 268959012590 430334420144 537918025180 860668840288 1075836050360 2151672100720 4303344201440