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444263435420 = 225717238115883
BaseRepresentation
bin1100111011100000010…
…10100000110010011100
31120110201111000212101212
412131300022200302130
524234322414413140
6540031455123552
744045155615460
oct6356012406234
91513644025355
10444263435420
11161458144592
1272126b135b8
1332b80a7a14c
1417706a9a4a0
15b852840765
hex67702a0c9c

444263435420 has 96 divisors (see below), whose sum is σ = 1178036794368. Its totient is φ = 137125942272.

The previous prime is 444263435401. The next prime is 444263435423. The reversal of 444263435420 is 24534362444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444263435423) 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 31 ways as a sum of consecutive naturals, for example, 4003202 + ... + 4112681.

It is an arithmetic number, because the mean of its divisors is an integer number (12271216608).

Almost surely, 2444263435420 is an apocalyptic number.

It is an amenable number.

444263435420 is an abundant number, since it is smaller than the sum of its proper divisors (733773358948).

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

444263435420 is a wasteful number, since it uses less digits than its factorization.

444263435420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115939 (or 8115937 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 41.

Adding to 444263435420 its reverse (24534362444), we get a palindrome (468797797864).

The spelling of 444263435420 in words is "four hundred forty-four billion, two hundred sixty-three million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 322 340 391 460 476 595 644 782 805 1190 1564 1610 1955 2380 2737 3220 3910 5474 7820 10948 13685 27370 54740 8115883 16231766 32463532 40579415 56811181 81158830 113622362 137970011 162317660 186665309 227244724 275940022 284055905 373330618 551880044 568111810 689850055 746661236 933326545 965790077 1136223620 1306657163 1379700110 1866653090 1931580154 2613314326 2759400220 3173310253 3733306180 3863160308 4828950385 5226628652 6346620506 6533285815 9657900770 12693241012 13066571630 15866551265 19315801540 22213171771 26133143260 31733102530 44426343542 63466205060 88852687084 111065858855 222131717710 444263435420