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254132001223140 = 223517967257651521
BaseRepresentation
bin111001110010000110110111…
…101010001011000111100100
31020022210210010010001221022210
4321302012313222023013210
5231302144314303120030
62300254344001123420
7104346300616654155
oct7162066752130744
91208723103057283
10254132001223140
1173a7985a534757
1224604599029570
13aba57111670c1
1446a80a972d92c
151e5a853572bb0
hexe721b7a8b1e4

254132001223140 has 96 divisors (see below), whose sum is σ = 754205780047104. Its totient is φ = 63716190289920.

The previous prime is 254132001223099. The next prime is 254132001223141. The reversal of 254132001223140 is 41322100231452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 254132001223098 and 254132001223107.

It is not an unprimeable number, because it can be changed into a prime (254132001223141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127839421 + ... + 129812100.

It is an arithmetic number, because the mean of its divisors is an integer number (7856310208824).

Almost surely, 2254132001223140 is an apocalyptic number.

254132001223140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254132001223140 is an abundant number, since it is smaller than the sum of its proper divisors (500073778823964).

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

254132001223140 is a wasteful number, since it uses less digits than its factorization.

254132001223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257652517 (or 257652515 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 254132001223140 its reverse (41322100231452), we get a palindrome (295454101454592).

The spelling of 254132001223140 in words is "two hundred fifty-four trillion, one hundred thirty-two billion, one million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 967 1020 1934 2901 3868 4835 5802 9670 11604 14505 16439 19340 29010 32878 49317 58020 65756 82195 98634 164390 197268 246585 328780 493170 986340 257651521 515303042 772954563 1030606084 1288257605 1545909126 2576515210 3091818252 3864772815 4380075857 5153030420 7729545630 8760151714 13140227571 15459091260 17520303428 21900379285 26280455142 43800758570 52560910284 65701137855 87601517140 131402275710 249149020807 262804551420 498298041614 747447062421 996596083228 1245745104035 1494894124842 2491490208070 2989788249684 3737235312105 4235533353719 4982980416140 7474470624210 8471066707438 12706600061157 14948941248420 16942133414876 21177666768595 25413200122314 42355333537190 50826400244628 63533000305785 84710667074380 127066000611570 254132001223140