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38401353040841 = 743379331597067
BaseRepresentation
bin10001011101101000000110…
…00000011100001111001001
312000222010121022122010102222
420232310003000130033021
520013131432334301331
6213401201003503425
711042256220101110
oct1056640300341711
9160863538563388
1038401353040841
1111265a1674125a
124382533527b75
131857302a8ac0b
1496a8c7798c77
15468d92303b7b
hex22ed0301c3c9

38401353040841 has 16 divisors (see below), whose sum is σ = 43994189441664. Its totient is φ = 32835268111104.

The previous prime is 38401353040763. The next prime is 38401353040861. The reversal of 38401353040841 is 14804035310483.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38401353040841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38401353040792 and 38401353040801.

It is not an unprimeable number, because it can be changed into a prime (38401353040861) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23246390 + ... + 24843456.

It is an arithmetic number, because the mean of its divisors is an integer number (2749636840104).

Almost surely, 238401353040841 is an apocalyptic number.

It is an amenable number.

38401353040841 is a deficient number, since it is larger than the sum of its proper divisors (5592836400823).

38401353040841 is a wasteful number, since it uses less digits than its factorization.

38401353040841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605440.

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 38401353040841 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-three million, forty thousand, eight hundred forty-one".

Divisors: 1 7 433 3031 7933 55531 1597067 3434989 11179469 24044923 691530011 4840710077 12669532511 88686727577 5485907577263 38401353040841