Search a number
-
+
44350072744940 = 22541431279903947
BaseRepresentation
bin10100001010110000011100…
…10101001110101111101100
312211000211021211020201220122
422011120032111032233230
521303112422110314230
6234154050412104112
712225121101223364
oct1205301625165754
9184024254221818
1044350072744940
111314983a951376
124b83411765038
131b9926a051851
14ad47aabc59a4
1551d9a92e9be5
hex28560e54ebec

44350072744940 has 96 divisors (see below), whose sum is σ = 98394217979904. Its totient is φ = 16771738314240.

The previous prime is 44350072744937. The next prime is 44350072744963. The reversal of 44350072744940 is 4944727005344.

44350072744940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 473954 + ... + 9429993.

It is an arithmetic number, because the mean of its divisors is an integer number (1024939770624).

Almost surely, 244350072744940 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 44350072744940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49197108989952).

44350072744940 is an abundant number, since it is smaller than the sum of its proper divisors (54044145234964).

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

44350072744940 is a wasteful number, since it uses less digits than its factorization.

44350072744940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904167 (or 9904165 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 53.

The spelling of 44350072744940 in words is "forty-four trillion, three hundred fifty billion, seventy-two million, seven hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 43 82 86 127 164 172 205 215 254 410 430 508 635 820 860 1270 1763 2540 3526 5207 5461 7052 8815 10414 10922 17630 20828 21844 26035 27305 35260 52070 54610 104140 109220 223901 447802 895604 1119505 2239010 4478020 9903947 19807894 39615788 49519735 99039470 198078940 406061827 425869721 812123654 851739442 1257801269 1624247308 1703478884 2030309135 2129348605 2515602538 4060618270 4258697210 5031205076 6289006345 8121236540 8517394420 12578012690 17460658561 25156025380 34921317122 51569852029 54085454567 69842634244 87303292805 103139704058 108170909134 174606585610 206279408116 216341818268 257849260145 270427272835 349213171220 515698520290 540854545670 1031397040580 1081709091340 2217503637247 4435007274494 8870014548988 11087518186235 22175036372470 44350072744940