Search a number
-
+
20140233204102 = 23112238411363267
BaseRepresentation
bin1001001010001010000110…
…11100100010000110000110
32122022101110110222101021220
410211011003130202012012
510114434144200012402
6110500143450221210
74146040516420344
oct445050334420606
978271413871256
1020140233204102
116465474652940
12231338b424806
13b312a628750b
144d8b14832994
1524dd612bedbc
hex125143722186

20140233204102 has 32 divisors (see below), whose sum is σ = 43942555534464. Its totient is φ = 6103069228800.

The previous prime is 20140233204079. The next prime is 20140233204151.

It is a happy number.

20140233204102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×201402332041022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14091873 + ... + 15455139.

It is an arithmetic number, because the mean of its divisors is an integer number (1373204860452).

Almost surely, 220140233204102 is an apocalyptic number.

20140233204102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20140233204102 is an abundant number, since it is smaller than the sum of its proper divisors (23802322330362).

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

20140233204102 is a wasteful number, since it uses less digits than its factorization.

20140233204102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587124.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2014023 and 3204102, that added together give a palindrome (5218125).

The spelling of 20140233204102 in words is "twenty trillion, one hundred forty billion, two hundred thirty-three million, two hundred four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 223841 447682 671523 1343046 1363267 2462251 2726534 4089801 4924502 7386753 8179602 14773506 14995937 29991874 44987811 89975622 305155048547 610310097094 915465145641 1830930291282 3356705534017 6713411068034 10070116602051 20140233204102