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11410442120 = 2357113704689
BaseRepresentation
bin10101010000001110…
…11000011110001000
31002110012202111222102
422220013120132020
5141332033121440
65124125212532
7552522105050
oct125007303610
932405674872
1011410442120
114925996060
122265401148
1310cac83acc
147a35d2560
1546bb16b15
hex2a81d8788

11410442120 has 64 divisors (see below), whose sum is σ = 32008521600. Its totient is φ = 3556500480.

The previous prime is 11410442107. The next prime is 11410442137. The reversal of 11410442120 is 2124401411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11410442092 and 11410442101.

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, 1849265 + ... + 1855424.

It is an arithmetic number, because the mean of its divisors is an integer number (500133150).

Almost surely, 211410442120 is an apocalyptic number.

11410442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11410442120 is an abundant number, since it is smaller than the sum of its proper divisors (20598079480).

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

11410442120 is a wasteful number, since it uses less digits than its factorization.

11410442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704718 (or 3704714 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11410442120 its reverse (2124401411), we get a palindrome (13534843531).

The spelling of 11410442120 in words is "eleven billion, four hundred ten million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3704689 7409378 14818756 18523445 25932823 29637512 37046890 40751579 51865646 74093780 81503158 103731292 129664115 148187560 163006316 203757895 207462584 259328230 285261053 326012632 407515790 518656460 570522106 815031580 1037312920 1141044212 1426305265 1630063160 2282088424 2852610530 5705221060 11410442120