Search a number
-
+
141460481412 = 223217341295501
BaseRepresentation
bin1000001110111110110…
…0111010010110000100
3111112010121212000121100
42003233230322112010
54304202340401122
6144552553020100
713135344152415
oct2035754722604
9445117760540
10141460481412
1154aa1832478
12234ba9b4630
1310455328893
146bbd5a580c
153a2e061aac
hex20efb3a584

141460481412 has 72 divisors (see below), whose sum is σ = 359800098840. Its totient is φ = 46861056000.

The previous prime is 141460481381. The next prime is 141460481441. The reversal of 141460481412 is 214184064141.

141460481412 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 604 + 8 + 1 + 41 + 2 = 666.

141460481412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98173182276 + 43287299136 = 313326^2 + 208056^2 .

It is a super-2 number, since 2×1414604814122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25712662 + ... + 25718162.

It is an arithmetic number, because the mean of its divisors is an integer number (4997223595).

Almost surely, 2141460481412 is an apocalyptic number.

141460481412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141460481412 is an abundant number, since it is smaller than the sum of its proper divisors (218339617428).

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

141460481412 is a wasteful number, since it uses less digits than its factorization.

141460481412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813 (or 9808 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 141460481412 in words is "one hundred forty-one billion, four hundred sixty million, four hundred eighty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 4129 5501 6228 8258 11002 12387 16503 16516 22004 24774 33006 37161 49509 49548 66012 74322 99018 148644 198036 714317 951673 1428634 1903346 2142951 2855019 2857268 3806692 4285902 5710038 6428853 8565057 8571804 11420076 12857706 17130114 22713629 25715412 34260228 45427258 68140887 90854516 136281774 204422661 272563548 408845322 817690644 3929457817 7858915634 11788373451 15717831268 23576746902 35365120353 47153493804 70730240706 141460481412