Search a number
-
+
3142010696256 = 263343971512887
BaseRepresentation
bin101101101110001110011…
…011100111001001000000
3102010101002010110002221000
4231232032123213021000
5402434314214240011
610403230401332000
7443000645154435
oct55561633471100
912111063402830
103142010696256
111001579142763
12428b39037000
1319a3a0b429a3
14ac1075a5b8c
1556ae6c3c356
hex2db8e6e7240

3142010696256 has 448 divisors, whose sum is σ = 9615751720960. Its totient is φ = 1005380812800.

The previous prime is 3142010696243. The next prime is 3142010696257. The reversal of 3142010696256 is 6526960102413.

3142010696256 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 0 + 10 + 6 + 9 + 625 + 6 = 666.

3142010696256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31420106962562 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3142010696257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088329245 + ... + 1088332131.

It is an arithmetic number, because the mean of its divisors is an integer number (21463731520).

Almost surely, 23142010696256 is an apocalyptic number.

3142010696256 is a gapful number since it is divisible by the number (36) 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 3142010696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807875860480).

3142010696256 is an abundant number, since it is smaller than the sum of its proper divisors (6473741024704).

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

3142010696256 is a wasteful number, since it uses less digits than its factorization.

3142010696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 3142010696256 its reverse (6526960102413), we get a palindrome (9668970798669).

The spelling of 3142010696256 in words is "three trillion, one hundred forty-two billion, ten million, six hundred ninety-six thousand, two hundred fifty-six".