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4434304021340 = 22517701100918439
BaseRepresentation
bin100000010000111000100…
…0111011011001101011100
3120200220201021022220121212
41000201301013123031130
51040122423312140330
613233031404243552
7635240121165134
oct100416107331534
916626637286555
104434304021340
11145a63a021a26
125b74935405b8
132621cb3c884b
1411489b3ddac4
157a52e2a8295
hex408711db35c

4434304021340 has 96 divisors (see below), whose sum is σ = 9884192572800. Its totient is φ = 1665261158400.

The previous prime is 4434304021309. The next prime is 4434304021387. The reversal of 4434304021340 is 431204034344.

It is a junction number, because it is equal to n+sod(n) for n = 4434304021297 and 4434304021306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240475841 + ... + 240494279.

It is an arithmetic number, because the mean of its divisors is an integer number (102960339300).

Almost surely, 24434304021340 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 4434304021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942096286400).

4434304021340 is an abundant number, since it is smaller than the sum of its proper divisors (5449888551460).

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

4434304021340 is a wasteful number, since it uses less digits than its factorization.

4434304021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20175 (or 20173 counting only the distinct ones).

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

Adding to 4434304021340 its reverse (431204034344), we get a palindrome (4865508055684).

The spelling of 4434304021340 in words is "four trillion, four hundred thirty-four billion, three hundred four million, twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 701 1009 1402 2018 2804 3505 4036 5045 7010 10090 11917 14020 17153 18439 20180 23834 34306 36878 47668 59585 68612 73756 85765 92195 119170 171530 184390 238340 313463 343060 368780 626926 707309 1253852 1414618 1567315 2829236 3134630 3536545 6269260 7073090 12024253 12925739 14146180 18604951 24048506 25851478 37209902 48097012 51702956 60121265 64628695 74419804 93024755 120242530 129257390 186049510 219737563 240485060 258514780 316284167 372099020 439475126 632568334 878950252 1098687815 1265136668 1581420835 2197375630 3162841670 4394751260 6325683340 13042070651 26084141302 52168282604 65210353255 130420706510 221715201067 260841413020 443430402134 886860804268 1108576005335 2217152010670 4434304021340