Search a number
-
+
141020301440430 = 23253742348438871
BaseRepresentation
bin100000000100000111011000…
…111110010011010110101110
3200111022102001021101222212100
4200010013120332103112232
5121440434034132043210
61215531455423515530
741463244350321066
oct4004073076232656
9614272037358770
10141020301440430
1140a2a412853885
1213996819758ba6
13608c207967489
1426b75c1a863a6
1511483dd1b45c0
hex8041d8f935ae

141020301440430 has 48 divisors (see below), whose sum is σ = 376562318449824. Its totient is φ = 36589051183680.

The previous prime is 141020301440399. The next prime is 141020301440479. The reversal of 141020301440430 is 34044103020141.

141020301440430 is a `hidden beast` number, since 1 + 4 + 10 + 203 + 0 + 1 + 440 + 4 + 3 + 0 = 666.

141020301440430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141020301440394 and 141020301440403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21174216106 + ... + 21174222765.

It is an arithmetic number, because the mean of its divisors is an integer number (7845048301038).

Almost surely, 2141020301440430 is an apocalyptic number.

141020301440430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141020301440430 is an abundant number, since it is smaller than the sum of its proper divisors (235542017009394).

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

141020301440430 is a wasteful number, since it uses less digits than its factorization.

141020301440430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42348438921 (or 42348438918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 141020301440430 its reverse (34044103020141), we get a palindrome (175064404460571).

The spelling of 141020301440430 in words is "one hundred forty-one trillion, twenty billion, three hundred one million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 42348438871 84696877742 127045316613 211742194355 254090633226 381135949839 423484388710 635226583065 762271899678 1270453166130 1566892238227 1905679749195 3133784476454 3811359498390 4700676714681 7834461191135 9401353429362 14102030144043 15668922382270 23503383573405 28204060288086 47006767146810 70510150720215 141020301440430