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10512341440 = 265263124909
BaseRepresentation
bin10011100101001010…
…11001100111000000
31000010121211021110021
421302211121213000
5133012124411230
64455043543224
7521335266526
oct116245314700
930117737407
1010512341440
114504a40797
12205468ab14
13cb6ba3aa3
1471a20c316
15417d62c7a
hex2729599c0

10512341440 has 56 divisors (see below), whose sum is σ = 25127894880. Its totient is φ = 4188914688.

The previous prime is 10512341431. The next prime is 10512341443. The reversal of 10512341440 is 4414321501.

It is a super-2 number, since 2×105123414402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10512341443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21706 + ... + 146614.

Almost surely, 210512341440 is an apocalyptic number.

10512341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10512341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563947440).

10512341440 is an abundant number, since it is smaller than the sum of its proper divisors (14615553440).

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

10512341440 is a wasteful number, since it uses less digits than its factorization.

10512341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125189 (or 125179 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10512341440 its reverse (4414321501), we get a palindrome (14926662941).

The spelling of 10512341440 in words is "ten billion, five hundred twelve million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 263 320 526 1052 1315 2104 2630 4208 5260 8416 10520 16832 21040 42080 84160 124909 249818 499636 624545 999272 1249090 1998544 2498180 3997088 4996360 7994176 9992720 19985440 32851067 39970880 65702134 131404268 164255335 262808536 328510670 525617072 657021340 1051234144 1314042680 2102468288 2628085360 5256170720 10512341440