Search a number
-
+
144300421042319 = 1912081413629749
BaseRepresentation
bin100000110011110110001111…
…010101100101000010001111
3200220220222121110010102202102
4200303312033111211002033
5122403204230241323234
61230522410454345315
742252234645026303
oct4063661725450217
9626828543112672
10144300421042319
1141a84512857473
121422647b05b23b
136269618635ca9
14278c26b64dd03
1511a38b9ac3c7e
hex833d8f56508f

144300421042319 has 8 divisors (see below), whose sum is σ = 145056657504000. Its totient is φ = 143544192256800.

The previous prime is 144300421042303. The next prime is 144300421042471. The reversal of 144300421042319 is 913240124003441.

144300421042319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144300421042319 - 24 = 144300421042303 is a prime.

It is a super-2 number, since 2×1443004210423192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300420042319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37940057 + ... + 41569805.

It is an arithmetic number, because the mean of its divisors is an integer number (18132082188000).

Almost surely, 2144300421042319 is an apocalyptic number.

144300421042319 is a deficient number, since it is larger than the sum of its proper divisors (756236461681).

144300421042319 is a wasteful number, since it uses less digits than its factorization.

144300421042319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838081.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 144300421042319 in words is "one hundred forty-four trillion, three hundred billion, four hundred twenty-one million, forty-two thousand, three hundred nineteen".

Divisors: 1 191 208141 3629749 39754931 693282059 755499586609 144300421042319