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241144104100 = 225217141849473
BaseRepresentation
bin1110000010010101001…
…1110000010010100100
3212001102202011201202211
43200211103300102210
512422330342312400
6302440255013204
723264530031164
oct3404523602244
9761382151684
10241144104100
11932a5618619
123a89a80a204
1319980424cc3
14b9585cc5a4
156415604dba
hex38254f04a4

241144104100 has 36 divisors (see below), whose sum is σ = 554064045444. Its totient is φ = 90783662080.

The previous prime is 241144104073. The next prime is 241144104109. The reversal of 241144104100 is 1401441142.

It can be written as a sum of positive squares in 6 ways, for example, as 252004 + 241143852096 = 502^2 + 491064^2 .

It is not an unprimeable number, because it can be changed into a prime (241144104109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70923037 + ... + 70926436.

It is an arithmetic number, because the mean of its divisors is an integer number (15390667929).

Almost surely, 2241144104100 is an apocalyptic number.

241144104100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241144104100 is an abundant number, since it is smaller than the sum of its proper divisors (312919941344).

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

241144104100 is a wasteful number, since it uses less digits than its factorization.

241144104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141849504 (or 141849497 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 241144104100 its reverse (1401441142), we get a palindrome (242545545242).

It can be divided in two parts, 24114 and 4104100, that added together give a palindrome (4128214).

The spelling of 241144104100 in words is "two hundred forty-one billion, one hundred forty-four million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 141849473 283698946 567397892 709247365 1418494730 2411441041 2836989460 3546236825 4822882082 7092473650 9645764164 12057205205 14184947300 24114410410 48228820820 60286026025 120572052050 241144104100