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23442442214112 = 2532263089309391
BaseRepresentation
bin1010101010010000111100…
…11100001101101011100000
310002000002001002211000112200
411111020132130031223200
511033040110201322422
6121505150445453200
74636442400033405
oct525103634155340
9102002032730480
1023442442214112
11751897a539819
122767376571200
1310107c748071c
145b0897db22ac
152a9bd20be2ac
hex15521e70dae0

23442442214112 has 72 divisors (see below), whose sum is σ = 66664913908320. Its totient is φ = 7814092446720.

The previous prime is 23442442214083. The next prime is 23442442214117. The reversal of 23442442214112 is 21141224424432.

23442442214112 is a `hidden beast` number, since 2 + 3 + 4 + 424 + 4 + 2 + 214 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23442442214117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75614937 + ... + 75924327.

It is an arithmetic number, because the mean of its divisors is an integer number (925901582060).

Almost surely, 223442442214112 is an apocalyptic number.

It is an amenable number.

23442442214112 is an abundant number, since it is smaller than the sum of its proper divisors (43222471694208).

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

23442442214112 is a wasteful number, since it uses less digits than its factorization.

23442442214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572496 (or 572485 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 23442442214112 its reverse (21141224424432), we get a palindrome (44583666638544).

The spelling of 23442442214112 in words is "twenty-three trillion, four hundred forty-two billion, four hundred forty-two million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 263089 309391 526178 618782 789267 928173 1052356 1237564 1578534 1856346 2104712 2367801 2475128 2784519 3157068 3712692 4209424 4735602 4950256 5569038 6314136 7425384 8418848 9471204 9900512 11138076 12628272 14850768 18942408 22276152 25256544 29701536 37884816 44552304 75769632 89104608 81397368799 162794737598 244192106397 325589475196 488384212794 651178950392 732576319191 976768425588 1302357900784 1465152638382 1953536851176 2604715801568 2930305276764 3907073702352 5860610553528 7814147404704 11721221107056 23442442214112