Search a number
-
+
44314551400 = 2352724521893
BaseRepresentation
bin101001010001010110…
…100110010001101000
311020101100122110100111
4221101112212101220
51211224011121100
632205142344104
73126104320600
oct512126462150
9136340573314
1044314551400
11178804553a9
128708a2b034
134242bc8162
142205601c00
1512456926ba
hexa515a6468

44314551400 has 72 divisors (see below), whose sum is σ = 119852800470. Its totient is φ = 15193557120.

The previous prime is 44314551361. The next prime is 44314551401. The reversal of 44314551400 is 415541344.

It can be written as a sum of positive squares in 3 ways, for example, as 36567383076 + 7747168324 = 191226^2 + 88018^2 .

It is not an unprimeable number, because it can be changed into a prime (44314551401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2251147 + ... + 2270746.

Almost surely, 244314551400 is an apocalyptic number.

44314551400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44314551400 is an abundant number, since it is smaller than the sum of its proper divisors (75538249070).

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

44314551400 is a wasteful number, since it uses less digits than its factorization.

44314551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521923 (or 4521907 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 44314551400 in words is "forty-four billion, three hundred fourteen million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 4521893 9043786 18087572 22609465 31653251 36175144 45218930 63306502 90437860 113047325 126613004 158266255 180875720 221572757 226094650 253226008 316532510 443145514 452189300 633065020 791331275 886291028 904378600 1107863785 1266130040 1582662550 1772582056 2215727570 3165325100 4431455140 5539318925 6330650200 8862910280 11078637850 22157275700 44314551400