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11413445040 = 2432517932471
BaseRepresentation
bin10101010000100101…
…10101100110110000
31002110102102002012200
422220102311212300
5141333320220130
65124313423200
7552556452654
oct125022654660
932412362180
1011413445040
114927657208
12226640ab00
1310cb79589a
147a3b74a64
1546c00b760
hex2a84b59b0

11413445040 has 120 divisors (see below), whose sum is σ = 40584911328. Its totient is φ = 2864547840.

The previous prime is 11413445011. The next prime is 11413445047. The reversal of 11413445040 is 4054431411.

11413445040 is a `hidden beast` number, since 1 + 141 + 34 + 450 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×114134450402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11413444995 and 11413445013.

It is not an unprimeable number, because it can be changed into a prime (11413445047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453996 + ... + 478475.

Almost surely, 211413445040 is an apocalyptic number.

11413445040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11413445040 is an abundant number, since it is smaller than the sum of its proper divisors (29171466288).

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

11413445040 is a wasteful number, since it uses less digits than its factorization.

11413445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932507 (or 932498 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11413445040 its reverse (4054431411), we get a palindrome (15467876451).

The spelling of 11413445040 in words is "eleven billion, four hundred thirteen million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 932471 1864942 2797413 3729884 4662355 5594826 7459768 8392239 9324710 11189652 13987065 14919536 15852007 16784478 18649420 22379304 27974130 31704014 33568956 37298840 41961195 44758608 47556021 55948260 63408028 67137912 74597680 79260035 83922390 95112042 111896520 126816056 134275824 142668063 158520070 167844780 190224084 223793040 237780105 253632112 285336126 317040140 335689560 380448168 475560210 570672252 634080280 671379120 713340315 760896336 951120420 1141344504 1268160560 1426680630 1902240840 2282689008 2853361260 3804481680 5706722520 11413445040