Search a number
-
+
23034323220444 = 223219160724378599
BaseRepresentation
bin1010011110011000110001…
…01001110011011111011100
310000120001121120221001000200
411033030120221303133130
511004343243221023234
6120553453315223500
74565114000602044
oct517143051633734
9100501546831020
1023034323220444
11738088aa552a8
1227002582a7b90
13cb1186a68423
14598c1d80c724
1529e297a22d99
hex14f318a737dc

23034323220444 has 144 divisors (see below), whose sum is σ = 61360598208000. Its totient is φ = 7265642364288.

The previous prime is 23034323220421. The next prime is 23034323220451. The reversal of 23034323220444 is 44402232343032.

23034323220444 is a `hidden beast` number, since 2 + 30 + 343 + 23 + 220 + 4 + 44 = 666.

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 = 23034323220399 and 23034323220408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678716857 + ... + 2678725455.

Almost surely, 223034323220444 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 23034323220444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30680299104000).

23034323220444 is an abundant number, since it is smaller than the sum of its proper divisors (38326274987556).

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

23034323220444 is a wasteful number, since it uses less digits than its factorization.

23034323220444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12667 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 23034323220444 its reverse (44402232343032), we get a palindrome (67436555563476).

The spelling of 23034323220444 in words is "twenty-three trillion, thirty-four billion, three hundred twenty-three million, two hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1607 2437 3214 4821 4874 6428 7311 8599 9642 9748 14463 14622 17198 19284 21933 25797 28926 29244 30533 34396 43866 46303 51594 57852 61066 77391 87732 91599 92606 103188 122132 138909 154782 163381 183198 185212 274797 277818 309564 326762 366396 416727 490143 549594 555636 653524 833454 980286 1099188 1470429 1666908 1960572 2940858 3916259 5881716 7832518 11748777 13818593 15665036 20955763 23497554 27637186 35246331 41455779 41911526 46995108 55274372 62867289 70492662 74408921 82911558 83823052 124367337 125734578 140985324 148817842 165823116 188601867 223226763 248734674 251469156 262553267 297635684 377203734 398159497 446453526 497469348 525106534 669680289 754407468 787659801 796318994 892907052 1050213068 1194478491 1339360578 1575319602 1592637988 2362979403 2388956982 2678721156 3150639204 3583435473 4725958806 4777913964 7166870946 9451917612 14333741892 33675911141 67351822282 101027733423 134703644564 202055466846 303083200269 404110933692 606166400538 639842311679 1212332801076 1279684623358 1919526935037 2559369246716 3839053870074 5758580805111 7678107740148 11517161610222 23034323220444