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23024214232344 = 233513911056277
BaseRepresentation
bin1010011110000101111100…
…00111000100110100011000
310000112002112002002020100000
411033002332013010310120
511004212042320413334
6120545102240413000
74564305330611403
oct517027607046430
9100462462066300
1023024214232344
11737757276a986
1226ba2b6917160
13cb023560b370
14598540dd8d3a
1529dda52d7299
hex14f0be1c4d18

23024214232344 has 96 divisors (see below), whose sum is σ = 69641141890320. Its totient is φ = 7084373602176.

The previous prime is 23024214232333. The next prime is 23024214232351. The reversal of 23024214232344 is 44323241242032.

23024214232344 is a `hidden beast` number, since 2 + 3 + 0 + 242 + 1 + 42 + 32 + 344 = 666.

23024214232344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230242142323442 (a number of 28 digits) contains 22 as substring.

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 = 23024214232299 and 23024214232308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455502867 + ... + 455553410.

Almost surely, 223024214232344 is an apocalyptic number.

23024214232344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23024214232344 is an abundant number, since it is smaller than the sum of its proper divisors (46616927657976).

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

23024214232344 is a wasteful number, since it uses less digits than its factorization.

23024214232344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911056311 (or 911056295 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 23024214232344 its reverse (44323241242032), we get a palindrome (67347455474376).

The spelling of 23024214232344 in words is "twenty-three trillion, twenty-four billion, two hundred fourteen million, two hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 911056277 1822112554 2733168831 3644225108 5466337662 7288450216 8199506493 10932675324 11843731601 16399012986 21865350648 23687463202 24598519479 32798025972 35531194803 47374926404 49197038958 65596051944 71062389606 73795558437 94749852808 98394077916 106593584409 142124779212 147591116874 196788155832 213187168818 221386675311 284249558424 295182233748 319780753227 426374337636 442773350622 590364467496 639561506454 852748675272 885546701244 959342259681 1279123012908 1771093402488 1918684519362 2558246025816 2878026779043 3837369038724 5756053558086 7674738077448 11512107116172 23024214232344