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141424443261460 = 225115115593940697
BaseRepresentation
bin100000001001111111110001…
…101101000000001000010100
3200112202001012121112200012001
4200021333301231000020110
5122014044224433331320
61220441254201405044
741534402354162062
oct4011776155001024
9615661177480161
10141424443261460
1141075851325667
1213a41007a99784
1360bb3633c1398
1426ccd9dd59032
151153b934e920a
hex809ff1b40214

141424443261460 has 48 divisors (see below), whose sum is σ = 297440101969920. Its totient is φ = 56484360185600.

The previous prime is 141424443261349. The next prime is 141424443261463. The reversal of 141424443261460 is 64162344424141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 141424443261460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141424443261463) 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, 33917832 + ... + 37858528.

It is an arithmetic number, because the mean of its divisors is an integer number (6196668791040).

Almost surely, 2141424443261460 is an apocalyptic number.

141424443261460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141424443261460 is an abundant number, since it is smaller than the sum of its proper divisors (156015658708460).

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

141424443261460 is a wasteful number, since it uses less digits than its factorization.

141424443261460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943416 (or 3943414 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 46.

The spelling of 141424443261460 in words is "one hundred forty-one trillion, four hundred twenty-four billion, four hundred forty-three million, two hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1151 1559 2302 3118 4604 5755 6236 7795 11510 15590 23020 31180 1794409 3588818 3940697 7177636 7881394 8972045 15762788 17944090 19703485 35888180 39406970 78813940 4535742247 6143546623 9071484494 12287093246 18142968988 22678711235 24574186492 30717733115 45357422470 61435466230 90714844940 122870932460 7071222163073 14142444326146 28284888652292 35356110815365 70712221630730 141424443261460