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41214214080 = 26325131100807
BaseRepresentation
bin100110011000100011…
…101111111111000000
310221101021211000002100
4212120203233333000
51133401314322310
630533351350400
72656220016354
oct463043577700
9127337730070
1041214214080
111652a393056
127ba2682400
133b6a7b2730
141dcd95b464
1511133cdec0
hex9988effc0

41214214080 has 168 divisors, whose sum is σ = 152664456672. Its totient is φ = 10145028096.

The previous prime is 41214214039. The next prime is 41214214121. The reversal of 41214214080 is 8041241214.

41214214080 is a `hidden beast` number, since 4 + 121 + 421 + 40 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (41214214039) and next prime (41214214121).

It is a super-2 number, since 2×412142140802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 512964 + ... + 587843.

It is an arithmetic number, because the mean of its divisors is an integer number (908717004).

Almost surely, 241214214080 is an apocalyptic number.

41214214080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41214214080 is an abundant number, since it is smaller than the sum of its proper divisors (111450242592).

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

41214214080 is a wasteful number, since it uses less digits than its factorization.

41214214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100843 (or 1100830 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 41214214080 its reverse (8041241214), we get a palindrome (49255455294).

The spelling of 41214214080 in words is "forty-one billion, two hundred fourteen million, two hundred fourteen thousand, eighty".