Search a number
-
+
290231405745819 = 31767120170722307
BaseRepresentation
bin100000111111101101100001…
…1110101111001011010011011
31102001121211222200110012122020
41001333123003311321122123
5301020122404332331234
62505134244523225523
7115063345536361566
oct10177330365713233
91361554880405566
10290231405745819
11845274a225433a
122867495a6782a3
13c5c391cc71715
1451953bc7dd4dd
1523848b90e6549
hex107f6c3d7969b

290231405745819 has 32 divisors (see below), whose sum is σ = 416200216801536. Its totient is φ = 179238612326400.

The previous prime is 290231405745797. The next prime is 290231405745901. The reversal of 290231405745819 is 918547504132092.

It is a happy number.

It is not a de Polignac number, because 290231405745819 - 231 = 290229258262171 is a prime.

It is a super-2 number, since 2×2902314057458192 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290231405745119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31257337 + ... + 39464970.

It is an arithmetic number, because the mean of its divisors is an integer number (13006256775048).

Almost surely, 2290231405745819 is an apocalyptic number.

290231405745819 is a deficient number, since it is larger than the sum of its proper divisors (125968811055717).

290231405745819 is a wasteful number, since it uses less digits than its factorization.

290231405745819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70723595.

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 290231405745819 in words is "two hundred ninety trillion, two hundred thirty-one billion, four hundred five million, seven hundred forty-five thousand, eight hundred nineteen".

Divisors: 1 3 17 51 67 201 1139 1201 3417 3603 20417 61251 80467 241401 1367939 4103817 70722307 212166921 1202279219 3606837657 4738394569 14215183707 80552707673 84937490707 241658123019 254812472121 1443937342019 4331812026057 5690811877369 17072435632107 96743801915273 290231405745819