Search a number
-
+
443000013312 = 2932329432401
BaseRepresentation
bin1100111001001001101…
…10111100001000000000
31120100110102200101002110
412130210312330020000
524224231000411222
6535302243415320
744001644661213
oct6344466741000
91510412611073
10443000013312
11160969a5a88a
1271a33984540
1332a0c0ab1bc
1417626d7b77a
15b7cb97830c
hex6724dbc200

443000013312 has 160 divisors (see below), whose sum is σ = 1273960068480. Its totient is φ = 136375500800.

The previous prime is 443000013257. The next prime is 443000013319. The reversal of 443000013312 is 213310000344.

It is not an unprimeable number, because it can be changed into a prime (443000013319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808312 + ... + 1240712.

It is an arithmetic number, because the mean of its divisors is an integer number (7962250428).

Almost surely, 2443000013312 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 443000013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636980034240).

443000013312 is an abundant number, since it is smaller than the sum of its proper divisors (830960055168).

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

443000013312 is a wasteful number, since it uses less digits than its factorization.

443000013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432474 (or 432458 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 443000013312 its reverse (213310000344), we get a palindrome (656310013656).

The spelling of 443000013312 in words is "four hundred forty-three billion, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 256 276 348 368 384 464 512 552 667 696 736 768 928 1104 1334 1392 1472 1536 1856 2001 2208 2668 2784 2944 3712 4002 4416 5336 5568 5888 7424 8004 8832 10672 11136 11776 14848 16008 17664 21344 22272 32016 35328 42688 44544 64032 85376 128064 170752 256128 341504 432401 512256 864802 1024512 1297203 1729604 2594406 3459208 5188812 6918416 9945223 10377624 12539629 13836832 19890446 20755248 25079258 27673664 29835669 37618887 39780892 41510496 50158516 55347328 59671338 75237774 79561784 83020992 100317032 110694656 119342676 150475548 159123568 166041984 200634064 221389312 238685352 288411467 300951096 318247136 332083968 401268128 477370704 576822934 601902192 636494272 664167936 802536256 865234401 954741408 1153645868 1203804384 1272988544 1605072512 1730468802 1909482816 2307291736 2407608768 2545977088 3210145024 3460937604 3818965632 4614583472 4815217536 5091954176 6420290048 6921875208 7637931264 9229166944 9630435072 13843750416 15275862528 18458333888 19260870144 27687500832 36916667776 55375001664 73833335552 110750003328 147666671104 221500006656 443000013312