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44340314224100 = 22521313384756811
BaseRepresentation
bin10100001010011110010001…
…01011011011010111100100
312210222220002201212111220212
422011033020223123113210
521302432430420132400
6234145354213114552
712224324215164326
oct1205171053332744
9183886081774825
1044340314224100
1113145692480214
124b81549628a58
131b983733b256b
14ad4122b61616
1551d5d773b335
hex2853c8adb5e4

44340314224100 has 36 divisors (see below), whose sum is σ = 96952974122928. Its totient is φ = 17600735412000.

The previous prime is 44340314224081. The next prime is 44340314224109. The reversal of 44340314224100 is 142241304344.

44340314224100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×443403142241003 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (44340314224109) 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 11 ways as a sum of consecutive naturals, for example, 1692365306 + ... + 1692391505.

Almost surely, 244340314224100 is an apocalyptic number.

It is an amenable number.

44340314224100 is an abundant number, since it is smaller than the sum of its proper divisors (52612659898828).

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

44340314224100 is a wasteful number, since it uses less digits than its factorization.

44340314224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384756956 (or 3384756949 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 44340314224100 its reverse (142241304344), we get a palindrome (44482555528444).

The spelling of 44340314224100 in words is "forty-four trillion, three hundred forty billion, three hundred fourteen million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 1310 2620 3275 6550 13100 3384756811 6769513622 13539027244 16923784055 33847568110 67695136220 84618920275 169237840550 338475681100 443403142241 886806284482 1773612568964 2217015711205 4434031422410 8868062844820 11085078556025 22170157112050 44340314224100