Search a number
-
+
4334340303104 = 2876014024487
BaseRepresentation
bin111111000100101010110…
…100000110100100000000
3120100100200121221212121012
4333010222310012210000
51032003212104144404
613115100215020052
7625100664460310
oct77045264064400
916310617855535
104334340303104
111421202117959
125a003596a628
1325595a280406
1410dad7105440
1577b2d338a6e
hex3f12ad06900

4334340303104 has 72 divisors (see below), whose sum is σ = 9904168380288. Its totient is φ = 1854483148800.

The previous prime is 4334340303101. The next prime is 4334340303211. The reversal of 4334340303104 is 4013030434334.

It is a super-2 number, since 2×43343403031042 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4334340303101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935252 + ... + 3089235.

Almost surely, 24334340303104 is an apocalyptic number.

It is an amenable number.

4334340303104 is an abundant number, since it is smaller than the sum of its proper divisors (5569828077184).

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

4334340303104 is an equidigital number, since it uses as much as digits as its factorization.

4334340303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025111 (or 4025097 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 4334340303104 its reverse (4013030434334), we get a palindrome (8347370737438).

The spelling of 4334340303104 in words is "four trillion, three hundred thirty-four billion, three hundred forty million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 601 896 1202 1792 2404 4207 4808 8414 9616 16828 19232 33656 38464 67312 76928 134624 153856 269248 538496 1076992 4024487 8048974 16097948 28171409 32195896 56342818 64391792 112685636 128783584 225371272 257567168 450742544 515134336 901485088 1030268672 1802970176 2418716687 3605940352 4837433374 7211880704 9674866748 16931016809 19349733496 33862033618 38699466992 67724067236 77398933984 135448134472 154797867968 270896268944 309595735936 541792537888 619191471872 1083585075776 2167170151552 4334340303104