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38401148412041 is a prime number
BaseRepresentation
bin10001011101100111101101…
…10011110110000010001001
312000222010002001120220111112
420232303312303312002021
520013131022443141131
6213401124413540105
711042251153554512
oct1056636663660211
9160863061526445
1038401148412041
1111265921187648
124382496aa4635
13185729c572a9c
1496a8a852da09
15468d7e38302b
hex22ecf6cf6089

38401148412041 has 2 divisors, whose sum is σ = 38401148412042. Its totient is φ = 38401148412040.

The previous prime is 38401148412031. The next prime is 38401148412059. The reversal of 38401148412041 is 14021484110483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22121698763641 + 16279449648400 = 4703371^2 + 4034780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38401148412041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38401148412041.

It is not a weakly prime, because it can be changed into another prime (38401148412031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200574206020 + 19200574206021.

It is an arithmetic number, because the mean of its divisors is an integer number (19200574206021).

Almost surely, 238401148412041 is an apocalyptic number.

It is an amenable number.

38401148412041 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401148412041 is an equidigital number, since it uses as much as digits as its factorization.

38401148412041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 38401148412041 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-eight million, four hundred twelve thousand, forty-one".