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14444201120100 = 2235294750841961
BaseRepresentation
bin1101001000110000110101…
…1110100001000101100100
31220010212000012200212121120
43102030031132201011210
53343123210441320400
650415324022413540
73020362524516663
oct322141536410544
956125005625546
1014444201120100
114669829a77804
1217534718912b0
1380a10bb2330b
1437d162b46dda
151a0ad802eca0
hexd230d7a1164

14444201120100 has 72 divisors (see below), whose sum is σ = 41836020219168. Its totient is φ = 3847719532800.

The previous prime is 14444201120081. The next prime is 14444201120101. The reversal of 14444201120100 is 102110244441.

It is not an unprimeable number, because it can be changed into a prime (14444201120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25136881 + ... + 25705080.

Almost surely, 214444201120100 is an apocalyptic number.

14444201120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444201120100 is an abundant number, since it is smaller than the sum of its proper divisors (27391819099068).

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

14444201120100 is a wasteful number, since it uses less digits than its factorization.

14444201120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50842925 (or 50842918 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14444201120100 its reverse (102110244441), we get a palindrome (14546311364541).

The spelling of 14444201120100 in words is "fourteen trillion, four hundred forty-four billion, two hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 947 1894 2841 3788 4735 5682 9470 11364 14205 18940 23675 28410 47350 56820 71025 94700 142050 284100 50841961 101683922 152525883 203367844 254209805 305051766 508419610 610103532 762629415 1016839220 1271049025 1525258830 2542098050 3050517660 3813147075 5084196100 7626294150 15252588300 48147337067 96294674134 144442011201 192589348268 240736685335 288884022402 481473370670 577768044804 722210056005 962946741340 1203683426675 1444420112010 2407366853350 2888840224020 3611050280025 4814733706700 7222100560050 14444201120100