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4223140031331 = 341317274985819
BaseRepresentation
bin111101011101000110110…
…000101110101101100011
3112221201122220000202220000
4331131012300232231203
51023142442322000311
612552030031151043
7614053226660244
oct75350660565543
915851586022800
104223140031331
1113890294a5901
12582581075483
132483181c5430
14108588760ccb
1574cc0ba0056
hex3d746c2eb63

4223140031331 has 80 divisors (see below), whose sum is σ = 7196264460000. Its totient is φ = 2445063293952.

The previous prime is 4223140031291. The next prime is 4223140031393. The reversal of 4223140031331 is 1331300413224.

It is a happy number.

4223140031331 is a `hidden beast` number, since 4 + 2 + 2 + 314 + 0 + 0 + 313 + 31 = 666.

It is not a de Polignac number, because 4223140031331 - 215 = 4223139998563 is a prime.

It is a super-2 number, since 2×42231400313312 (a number of 26 digits) contains 22 as substring.

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 = 4223140031295 and 4223140031304.

It is not an unprimeable number, because it can be changed into a prime (4223140031731) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49166940 + ... + 49252758.

It is an arithmetic number, because the mean of its divisors is an integer number (89953305750).

Almost surely, 24223140031331 is an apocalyptic number.

4223140031331 is a deficient number, since it is larger than the sum of its proper divisors (2973124428669).

4223140031331 is a wasteful number, since it uses less digits than its factorization.

4223140031331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88610 (or 88601 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4223140031331 its reverse (1331300413224), we get a palindrome (5554440444555).

The spelling of 4223140031331 in words is "four trillion, two hundred twenty-three billion, one hundred forty million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1989 2749 5967 8247 17901 24741 35737 46733 74223 85819 107211 140199 222669 257457 321633 420597 607529 772371 964899 1115647 1261791 1458923 1822587 2317113 2894697 3346941 3785373 4376769 5467761 6951339 10040823 13130307 16403283 18965999 30122469 39390921 49209849 56897997 90367407 118172763 170693991 235916431 512081973 707749293 1536245919 2123247879 3066913603 4010579327 6369743637 9200740809 12031737981 19109230911 27602222427 36095213943 52137531251 82806667281 108285641829 156412593753 248420001843 324856925487 469237781259 1407713343777 4223140031331