Search a number
-
+
142432023003444 = 223276691129945659
BaseRepresentation
bin100000011000101010001010…
…001000101100000100110100
3200200022100221120120212221200
4200120222022020230010310
5122132101240342102234
61222532211300212500
742000242210524206
oct4030521210540464
9620270846525850
10142432023003444
1141424099876929
1213b8434439a130
136162388b17a45
142725a64d10776
15116eeb53e4d99
hex818a8a22c134

142432023003444 has 72 divisors (see below), whose sum is σ = 360123205260000. Its totient is φ = 47465909233344.

The previous prime is 142432023003437. The next prime is 142432023003461. The reversal of 142432023003444 is 444300320234241.

142432023003444 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 2 + 0 + 2 + 300 + 344 + 4 = 666.

It is a super-2 number, since 2×1424320230034442 (a number of 29 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 = 142432023003399 and 142432023003408.

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, 3119450287 + ... + 3119495945.

Almost surely, 2142432023003444 is an apocalyptic number.

It is an amenable number.

142432023003444 is an abundant number, since it is smaller than the sum of its proper divisors (217691182256556).

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

142432023003444 is a wasteful number, since it uses less digits than its factorization.

142432023003444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64637 (or 64632 counting only the distinct ones).

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

Adding to 142432023003444 its reverse (444300320234241), we get a palindrome (586732343237685).

The spelling of 142432023003444 in words is "one hundred forty-two trillion, four hundred thirty-two billion, twenty-three million, three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7669 11299 15338 22598 23007 30676 33897 45196 45659 46014 67794 69021 91318 92028 101691 135588 136977 138042 182636 203382 273954 276084 406764 410931 547908 821862 1643724 86652031 173304062 259956093 346608124 350158871 515901041 519912186 700317742 779868279 1031802082 1039824372 1050476613 1400635484 1547703123 1559736558 2063604164 2100953226 3095406246 3119473116 3151429839 4201906452 4643109369 6190812492 6302859678 9286218738 12605719356 18572437476 3956445083429 7912890166858 11869335250287 15825780333716 23738670500574 35608005750861 47477341001148 71216011501722 142432023003444