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941221444122149 = 192916141105830239
BaseRepresentation
bin1101011000000010010011000…
…1110101001111011000100101
311120102120220001202101011021112
43112000210301311033120211
51441331433004143402044
613133451055011354405
7402153001545623501
oct32600446165173045
94512526052334245
10941221444122149
112529a1855683a23
12896930312b2a05
1331525a556c8168
141285d50a6a9301
1573c34e2d5d09e
hex3580931d4f625

941221444122149 has 16 divisors (see below), whose sum is σ = 1024987040448000. Its totient is φ = 860882420825280.

The previous prime is 941221444122103. The next prime is 941221444122191.

It is a happy number.

941221444122149 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-941221444122149 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 941221444122097 and 941221444122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941221444122199) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44021429 + ... + 61808810.

It is an arithmetic number, because the mean of its divisors is an integer number (64061690028000).

Almost surely, 2941221444122149 is an apocalyptic number.

It is an amenable number.

941221444122149 is a deficient number, since it is larger than the sum of its proper divisors (83765596325851).

941221444122149 is a wasteful number, since it uses less digits than its factorization.

941221444122149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105846428.

The product of its digits is 1327104, while the sum is 50.

The spelling of 941221444122149 in words is "nine hundred forty-one trillion, two hundred twenty-one billion, four hundred forty-four million, one hundred twenty-two thousand, one hundred forty-nine".

Divisors: 1 19 29 551 16141 306679 468089 8893691 105830239 2010774541 3069076931 58312461689 1708205887699 32455911866281 49537970743271 941221444122149