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1441443441100 = 2252134127043967
BaseRepresentation
bin10100111110011100101…
…110010110100111001100
312002210121200010201220211
4110332130232112213030
5142104034010103400
63022105011252204
7206066212042645
oct24763456264714
95083550121824
101441443441100
11506349275a63
121b34405aa064
13a5c09a37aa0
144daa27966cc
152776671cdba
hex14f9cb969cc

1441443441100 has 72 divisors (see below), whose sum is σ = 3450702140928. Its totient is φ = 519244147200.

The previous prime is 1441443441079. The next prime is 1441443441131. The reversal of 1441443441100 is 11443441441.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 13468684 + ... + 13575283.

It is an arithmetic number, because the mean of its divisors is an integer number (47926418624).

Almost surely, 21441443441100 is an apocalyptic number.

1441443441100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1441443441100 is an abundant number, since it is smaller than the sum of its proper divisors (2009258699828).

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

1441443441100 is a wasteful number, since it uses less digits than its factorization.

1441443441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27044035 (or 27044028 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 1441443441100 its reverse (11443441441), we get a palindrome (1452886882541).

The spelling of 1441443441100 in words is "one trillion, four hundred forty-one billion, four hundred forty-three million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 2050 2132 2665 4100 5330 10660 13325 26650 53300 27043967 54087934 108175868 135219835 270439670 351571571 540879340 676099175 703143142 1108802647 1352198350 1406286284 1757857855 2217605294 2704396700 3515715710 4435210588 5544013235 7031431420 8789289275 11088026470 14414434411 17578578550 22176052940 27720066175 28828868822 35157157100 55440132350 57657737644 72072172055 110880264700 144144344110 288288688220 360360860275 720721720550 1441443441100