Search a number
-
+
141321401430444 = 22329103343122763
BaseRepresentation
bin100000001000011111110011…
…111011100111000110101100
3200112101012020110011022020100
4200020133303323213012230
5122010402212231233234
61220322053333351100
741524064033105424
oct4010376373470654
9615335213138210
10141321401430444
1141036084958934
1213a2504b498490
1360b1721642341
1426c7dc6d23484
151151162206399
hex8087f3ee71ac

141321401430444 has 36 divisors (see below), whose sum is σ = 357233030515816. Its totient is φ = 47106615244608.

The previous prime is 141321401430439. The next prime is 141321401430449. The reversal of 141321401430444 is 444034104123141.

141321401430444 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 214 + 0 + 1 + 430 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (141321401430439) and next prime (141321401430449).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141321401430399 and 141321401430408.

It is not an unprimeable number, because it can be changed into a prime (141321401430449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18284194 + ... + 24838569.

Almost surely, 2141321401430444 is an apocalyptic number.

It is an amenable number.

141321401430444 is an abundant number, since it is smaller than the sum of its proper divisors (215911629085372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141321401430444 is a wasteful number, since it uses less digits than its factorization.

141321401430444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43213806 (or 43213801 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 141321401430444 its reverse (444034104123141), we get a palindrome (585355505553585).

The spelling of 141321401430444 in words is "one hundred forty-one trillion, three hundred twenty-one billion, four hundred one million, four hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 91033 182066 273099 364132 546198 819297 1092396 1638594 3277188 43122763 86245526 129368289 172491052 258736578 388104867 517473156 776209734 1552419468 3925594484179 7851188968358 11776783452537 15702377936716 23553566905074 35330350357611 47107133810148 70660700715222 141321401430444