Search a number
-
+
44402110044400 = 2452733553142797
BaseRepresentation
bin10100001100010001010111…
…11111110001100011110000
312211012210121101121110000001
422012020223333301203300
521304441010132410100
6234234014152035344
712231642452040613
oct1206105377614360
9184183541543001
1044402110044400
1113169913617689
124b91514992b54
131ba1140bc81c4
14ad7105d2017a
1552000296dd6a
hex28622bff18f0

44402110044400 has 120 divisors (see below), whose sum is σ = 108142955689104. Its totient is φ = 17516642457600.

The previous prime is 44402110044379. The next prime is 44402110044401. The reversal of 44402110044400 is 444001120444.

44402110044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44402110044401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1037483802 + ... + 1037526598.

Almost surely, 244402110044400 is an apocalyptic number.

44402110044400 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 44402110044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54071477844552).

44402110044400 is an abundant number, since it is smaller than the sum of its proper divisors (63740845644704).

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

44402110044400 is a wasteful number, since it uses less digits than its factorization.

44402110044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78419 (or 78408 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 44402110044400 its reverse (444001120444), we get a palindrome (44846111164844).

The spelling of 44402110044400 in words is "forty-four trillion, four hundred two billion, one hundred ten million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 35531 42797 71062 85594 142124 171188 177655 213985 284248 342376 355310 427970 568496 684752 710620 855940 888275 1069925 1421240 1711880 1776550 2139850 2593763 2842480 3124181 3423760 3553100 4279700 5187526 6248362 7106200 8559400 10375052 12496724 12968815 14212400 15620905 17118800 20750104 24993448 25937630 31241810 41500208 49986896 51875260 62483620 64844075 78104525 103750520 124967240 129688150 156209050 207501040 249934480 259376300 312418100 518752600 624836200 1037505200 1249672400 1520620207 3041240414 6082480828 7603101035 12164961656 15206202070 24329923312 30412404140 38015505175 60824808280 76031010350 111005275111 121649616560 152062020700 222010550222 304124041400 444021100444 555026375555 608248082800 888042200888 1110052751110 1776084401776 2220105502220 2775131877775 4440211004440 5550263755550 8880422008880 11100527511100 22201055022200 44402110044400