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41200301035332 = 22321144452806537
BaseRepresentation
bin10010101111000101100010…
…10011101100111101000100
312101212201011211002022010200
421113202301103230331010
520400011204031112312
6223343053525050500
711451423603360555
oct1127426123547504
9171781154068120
1041200301035332
1112144a4993249a
124754a89556a30
1319cb23035358a
14a261689a632c
154b6aab06d0dc
hex2578b14ecf44

41200301035332 has 18 divisors (see below), whose sum is σ = 104145205394958. Its totient is φ = 13733433678432.

The previous prime is 41200301035297. The next prime is 41200301035367. The reversal of 41200301035332 is 23353010300214.

41200301035332 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 0 + 301 + 0 + 353 + 3 + 2 = 666.

41200301035332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41200301035297) and next prime (41200301035367).

It can be written as a sum of positive squares in only one way, i.e., 30776598047556 + 10423702987776 = 5547666^2 + 3228576^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×412003010353322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41200301035296 and 41200301035305.

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 5 ways as a sum of consecutive naturals, for example, 572226403233 + ... + 572226403304.

Almost surely, 241200301035332 is an apocalyptic number.

It is an amenable number.

41200301035332 is an abundant number, since it is smaller than the sum of its proper divisors (62944904359626).

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

41200301035332 is a wasteful number, since it uses less digits than its factorization.

41200301035332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144452806547 (or 1144452806542 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 41200301035332 its reverse (23353010300214), we get a palindrome (64553311335546).

The spelling of 41200301035332 in words is "forty-one trillion, two hundred billion, three hundred one million, thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1144452806537 2288905613074 3433358419611 4577811226148 6866716839222 10300075258833 13733433678444 20600150517666 41200301035332