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203344400120040 = 2334562760617321
BaseRepresentation
bin101110001111000011001110…
…101111000111100011101000
3222122222112102212111011020000
4232033003032233013203220
5203123043312412320130
62000251043334503000
760555101540303334
oct5617031657074350
9878875385434200
10203344400120040
115987896a765703
121a981610204a60
1389603aa47575a
14382dcc87767c4
1518796c3dd8260
hexb8f0cebc78e8

203344400120040 has 80 divisors (see below), whose sum is σ = 683463122636580. Its totient is φ = 54225173364480.

The previous prime is 203344400120039. The next prime is 203344400120047. The reversal of 203344400120040 is 40021004443302.

It is a happy number.

203344400120040 is a `hidden beast` number, since 20 + 3 + 34 + 4 + 400 + 1 + 200 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183295910297124 + 20048489822916 = 13538682^2 + 4477554^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 203344400119986 and 203344400120013.

It is not an unprimeable number, because it can be changed into a prime (203344400120047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31380305421 + ... + 31380311900.

Almost surely, 2203344400120040 is an apocalyptic number.

203344400120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203344400120040 is an abundant number, since it is smaller than the sum of its proper divisors (480118722516540).

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

203344400120040 is a wasteful number, since it uses less digits than its factorization.

203344400120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62760617344 (or 62760617331 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 203344400120040 its reverse (40021004443302), we get a palindrome (243365404563342).

The spelling of 203344400120040 in words is "two hundred three trillion, three hundred forty-four billion, four hundred million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 62760617321 125521234642 188281851963 251042469284 313803086605 376563703926 502084938568 564845555889 627606173210 753127407852 941409259815 1129691111778 1255212346420 1506254815704 1694536667667 1882818519630 2259382223556 2510424692840 2824227779445 3389073335334 3765637039260 4518764447112 5083610003001 5648455558890 6778146670668 7531274078520 8472683338335 10167220006002 11296911117780 13556293341336 16945366676670 20334440012004 22593822235560 25418050015005 33890733353340 40668880024008 50836100030010 67781466706680 101672200060020 203344400120040