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41201552341520 = 245515019404269
BaseRepresentation
bin10010101111000111110111…
…11001000011101000010000
312101212211102000122020112022
421113203323321003220100
520400021234344412040
6223343422024551012
711451466606323554
oct1127437371035020
9171784360566468
1041201552341520
11121455311a133a
124755178622468
1319cb39c66c83c
14a26246c4d864
154b6b30d406b5
hex2578fbe43a10

41201552341520 has 20 divisors (see below), whose sum is σ = 95793609194220. Its totient is φ = 16480620936576.

The previous prime is 41201552341519. The next prime is 41201552341613. The reversal of 41201552341520 is 2514325510214.

41201552341520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23696800900096 + 17504751441424 = 4867936^2 + 4183868^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 257509702055 + ... + 257509702214.

It is an arithmetic number, because the mean of its divisors is an integer number (4789680459711).

Almost surely, 241201552341520 is an apocalyptic number.

41201552341520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41201552341520 is an abundant number, since it is smaller than the sum of its proper divisors (54592056852700).

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

41201552341520 is a wasteful number, since it uses less digits than its factorization.

41201552341520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515019404282 (or 515019404276 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 41201552341520 its reverse (2514325510214), we get a palindrome (43715877851734).

The spelling of 41201552341520 in words is "forty-one trillion, two hundred one billion, five hundred fifty-two million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 515019404269 1030038808538 2060077617076 2575097021345 4120155234152 5150194042690 8240310468304 10300388085380 20600776170760 41201552341520