Search a number
-
+
109220621440 = 2757191283137
BaseRepresentation
bin110010110111000001…
…1100110110010000000
3101102220202212102222111
41211232003212302000
53242140434341230
6122101504545104
710614405651520
oct1455603466200
9342822772874
10109220621440
11423582144a7
1219201922194
13a3b7bb7268
1454018a5680
152c9399592a
hex196e0e6c80

109220621440 has 128 divisors (see below), whose sum is σ = 314112182400. Its totient is φ = 35476144128.

The previous prime is 109220621371. The next prime is 109220621441. The reversal of 109220621440 is 44126022901.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (109220621441) 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, 556449 + ... + 726688.

It is an arithmetic number, because the mean of its divisors is an integer number (2454001425).

Almost surely, 2109220621440 is an apocalyptic number.

109220621440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109220621440 is an abundant number, since it is smaller than the sum of its proper divisors (204891560960).

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

109220621440 is a wasteful number, since it uses less digits than its factorization.

109220621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283182 (or 1283170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 109220621440 in words is "one hundred nine billion, two hundred twenty million, six hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1330 1520 2128 2240 2432 2660 3040 4256 4480 5320 6080 8512 10640 12160 17024 21280 42560 85120 1283137 2566274 5132548 6415685 8981959 10265096 12831370 17963918 20530192 24379603 25662740 35927836 41060384 44909795 48759206 51325480 71855672 82120768 89819590 97518412 102650960 121898015 143711344 164241536 170657221 179639180 195036824 205301920 243796030 287422688 341314442 359278360 390073648 410603840 487592060 574845376 682628884 718556720 780147296 821207680 853286105 975184120 1149690752 1365257768 1437113440 1560294592 1706572210 1950368240 2730515536 2874226880 3120589184 3413144420 3900736480 5461031072 5748453760 6826288840 7801472960 10922062144 13652577680 15602945920 21844124288 27305155360 54610310720 109220621440