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10324140032 = 2132515021
BaseRepresentation
bin10011001110101110…
…11110000000000000
3222122111200122122202
421213113132000000
5132120434440112
64424242052332
7513561512423
oct114727360000
928574618582
1010324140032
114418787238
12200164a0a8
13c86bbabcb
146dd21b9ba
154065896c2
hex2675de000

10324140032 has 56 divisors (see below), whose sum is σ = 20733407352. Its totient is φ = 5140480000.

The previous prime is 10324140031. The next prime is 10324140037. The reversal of 10324140032 is 23004142301.

It is a super-2 number, since 2×103241400322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10324139986 and 10324140013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324140031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2053682 + ... + 2058702.

It is an arithmetic number, because the mean of its divisors is an integer number (370239417).

Almost surely, 210324140032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10324140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10366703676).

10324140032 is an abundant number, since it is smaller than the sum of its proper divisors (10409267320).

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

10324140032 is an frugal number, since it uses more digits than its factorization.

10324140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10324140032 its reverse (23004142301), we get a palindrome (33328282333).

The spelling of 10324140032 in words is "ten billion, three hundred twenty-four million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 512 1004 1024 2008 2048 4016 4096 5021 8032 8192 10042 16064 20084 32128 40168 64256 80336 128512 160672 257024 321344 514048 642688 1028096 1260271 1285376 2056192 2520542 2570752 5041084 5141504 10082168 10283008 20164336 20566016 40328672 41132032 80657344 161314688 322629376 645258752 1290517504 2581035008 5162070016 10324140032