Search a number
-
+
11400000120 = 2332540517817
BaseRepresentation
bin10101001110111111…
…00011001001111000
31002102111010000020200
422213133203021320
5141321400000440
65123113322200
7552334254645
oct124737431170
932374100220
1011400000120
114920003903
122261a06360
1310c8a69002
147a2074dcc
1546ac52c30
hex2a77e3278

11400000120 has 96 divisors (see below), whose sum is σ = 37063887120. Its totient is φ = 3038860800.

The previous prime is 11400000049. The next prime is 11400000151. The reversal of 11400000120 is 2100000411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 1454452 + ... + 1462268.

Almost surely, 211400000120 is an apocalyptic number.

11400000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400000120 is an abundant number, since it is smaller than the sum of its proper divisors (25663887000).

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

11400000120 is a wasteful number, since it uses less digits than its factorization.

11400000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11885 (or 11878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11400000120 its reverse (2100000411), we get a palindrome (13500000531).

The spelling of 11400000120 in words is "eleven billion, four hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4051 7817 8102 12153 15634 16204 20255 23451 24306 31268 32408 36459 39085 40510 46902 48612 60765 62536 70353 72918 78170 81020 93804 97224 117255 121530 140706 145836 156340 162040 182295 187608 234510 243060 281412 291672 312680 351765 364590 469020 486120 562824 703530 729180 938040 1407060 1458360 2814120 31666667 63333334 95000001 126666668 158333335 190000002 253333336 285000003 316666670 380000004 475000005 570000006 633333340 760000008 950000010 1140000012 1266666680 1425000015 1900000020 2280000024 2850000030 3800000040 5700000060 11400000120