Search a number
-
+
1223440141440 = 27351157928037
BaseRepresentation
bin10001110011011010101…
…101110000110010000000
311022221220122110200010010
4101303122231300302000
5130021101134011230
62334012440104520
7154250662421556
oct21633255606200
94287818420103
101223440141440
11431949079310
1217913b765140
138b4a690149a
1443301669bd6
1521c5798c9b0
hex11cdab70c80

1223440141440 has 128 divisors (see below), whose sum is σ = 4254235110720. Its totient is φ = 296591544320.

The previous prime is 1223440141387. The next prime is 1223440141463. The reversal of 1223440141440 is 441410443221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 1223440141398 and 1223440141407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28942899 + ... + 28985138.

Almost surely, 21223440141440 is an apocalyptic number.

1223440141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223440141440 is an abundant number, since it is smaller than the sum of its proper divisors (3030794969280).

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

1223440141440 is a wasteful number, since it uses less digits than its factorization.

1223440141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57928070 (or 57928058 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1223440141440 its reverse (441410443221), we get a palindrome (1664850584661).

The spelling of 1223440141440 in words is "one trillion, two hundred twenty-three billion, four hundred forty million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 57928037 115856074 173784111 231712148 289640185 347568222 463424296 579280370 637208407 695136444 868920555 926848592 1158560740 1274416814 1390272888 1737841110 1853697184 1911625221 2317121480 2548833628 2780545776 3186042035 3475682220 3707394368 3823250442 4634242960 5097667256 5561091552 6372084070 6951364440 7414788736 7646500884 9268485920 9558126105 10195334512 11122183104 12744168140 13902728880 15293001768 18536971840 19116252210 20390669024 22244366208 25488336280 27805457760 30586003536 37073943680 38232504420 40781338048 50976672560 55610915520 61172007072 76465008840 81562676096 101953345120 111221831040 122344014144 152930017680 203906690240 244688028288 305860035360 407813380480 611720070720 1223440141440