Search a number
-
+
23034233430144 = 27342221666033
BaseRepresentation
bin1010011110011000100110…
…10011010010000010000000
310000120001101022222012220000
411033030103103102002000
511004343102224231034
6120553440350520000
74565111530441536
oct517142323220200
9100501338865800
1023034233430144
1173808442a7542
122700232206000
13cb117128aa81
14598c11918156
1529e28ebd8599
hex14f3134d2080

23034233430144 has 80 divisors (see below), whose sum is σ = 68549505479070. Its totient is φ = 7678077806592.

The previous prime is 23034233430137. The next prime is 23034233430151. The reversal of 23034233430144 is 44103433243032.

23034233430144 is a `hidden beast` number, since 2 + 3 + 0 + 342 + 3 + 3 + 4 + 301 + 4 + 4 = 666.

23034233430144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (23034233430137) and next prime (23034233430151).

It can be written as a sum of positive squares in only one way, i.e., 15522906567744 + 7511326862400 = 3939912^2 + 2740680^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23034233430099 and 23034233430108.

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 9 ways as a sum of consecutive naturals, for example, 1110822649 + ... + 1110843384.

Almost surely, 223034233430144 is an apocalyptic number.

23034233430144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23034233430144 is an abundant number, since it is smaller than the sum of its proper divisors (45515272048926).

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

23034233430144 is an equidigital number, since it uses as much as digits as its factorization.

23034233430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221666059 (or 2221666038 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23034233430144 its reverse (44103433243032), we get a palindrome (67137666673176).

The spelling of 23034233430144 in words is "twenty-three trillion, thirty-four billion, two hundred thirty-three million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 2221666033 4443332066 6664998099 8886664132 13329996198 17773328264 19994994297 26659992396 35546656528 39989988594 53319984792 59984982891 71093313056 79979977188 106639969584 119969965782 142186626112 159959954376 179954948673 213279939168 239939931564 284373252224 319919908752 359909897346 426559878336 479879863128 639839817504 719819794692 853119756672 959759726256 1279679635008 1439639589384 1919519452512 2559359270016 2879279178768 3839038905024 5758558357536 7678077810048 11517116715072 23034233430144