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14022124320033 = 3329471372781209
BaseRepresentation
bin1100110000001100011110…
…1111010011010100100001
31211122111112221201212021000
43030003013233103110201
53314214302311220113
645453401444022213
72645031212102244
oct314030757232441
954574487655230
1014022124320033
1145168276937a5
1216a56b9091969
137a938578328b
1436696293125b
15194b333d7373
hexcc0c7bd3521

14022124320033 has 64 divisors (see below), whose sum is σ = 22107282048000. Its totient is φ = 8769215572992.

The previous prime is 14022124320023. The next prime is 14022124320079. The reversal of 14022124320033 is 33002342122041.

14022124320033 is a `hidden beast` number, since 1 + 4 + 0 + 221 + 2 + 432 + 0 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 14022124320033 - 212 = 14022124315937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14022124319979 and 14022124320006.

It is not an unprimeable number, because it can be changed into a prime (14022124320023) 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, 3651133 + ... + 6432341.

It is an arithmetic number, because the mean of its divisors is an integer number (345426282000).

Almost surely, 214022124320033 is an apocalyptic number.

It is an amenable number.

14022124320033 is a deficient number, since it is larger than the sum of its proper divisors (8085157727967).

14022124320033 is a wasteful number, since it uses less digits than its factorization.

14022124320033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781431 (or 2781425 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14022124320033 its reverse (33002342122041), we get a palindrome (47024466442074).

The spelling of 14022124320033 in words is "fourteen trillion, twenty-two billion, one hundred twenty-four million, three hundred twenty thousand, thirty-three".

Divisors: 1 3 9 27 29 47 87 137 141 261 411 423 783 1233 1269 1363 3699 3973 4089 6439 11919 12267 19317 35757 36801 57951 107271 173853 186731 560193 1680579 2781209 5041737 8343627 25030881 75092643 80655061 130716823 241965183 381025633 392150469 725895549 1143076899 1176451407 2177686647 3429230697 3529354221 3790787867 10287692091 11049743357 11372363601 17908204751 33149230071 34117090803 53724614253 99447690213 102351272409 161173842759 298343070639 483521528277 519337937779 1558013813337 4674041440011 14022124320033