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142142643132 = 22372479715297
BaseRepresentation
bin1000010001100001011…
…1001001101110111100
3111120220011110102120020
42010120113021232330
54312102004040012
6145144402052140
713161266350200
oct2043027115674
9446804412506
10142142643132
11553118a8696
122366b34a050
1310533760779
146c46018b00
153a6ddada8c
hex21185c9bbc

142142643132 has 144 divisors (see below), whose sum is σ = 394504846848. Its totient is φ = 39699663360.

The previous prime is 142142643131. The next prime is 142142643151. The reversal of 142142643132 is 231346241241.

It is a super-2 number, since 2×1421426431322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 142142643093 and 142142643102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142142643131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26831908 + ... + 26837204.

It is an arithmetic number, because the mean of its divisors is an integer number (2739616992).

Almost surely, 2142142643132 is an apocalyptic number.

142142643132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142142643132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197252423424).

142142643132 is an abundant number, since it is smaller than the sum of its proper divisors (252362203716).

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

142142643132 is a wasteful number, since it uses less digits than its factorization.

142142643132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6327 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 142142643132 its reverse (231346241241), we get a palindrome (373488884373).

The spelling of 142142643132 in words is "one hundred forty-two billion, one hundred forty-two million, six hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 564 588 658 971 987 1316 1942 1974 2303 2913 3884 3948 4606 5297 5826 6797 6909 9212 10594 11652 13594 13818 15891 20391 21188 27188 27636 31782 37079 40782 45637 47579 63564 74158 81564 91274 95158 111237 136911 142737 148316 182548 190316 222474 248959 259553 273822 285474 319459 444948 497918 519106 547644 570948 638918 746877 778659 958377 995836 1038212 1277836 1493754 1557318 1742713 1916754 2236213 2987508 3114636 3485426 3833508 4472426 5143387 5228139 6708639 6970852 8944852 10286774 10456278 12198991 13417278 15430161 20573548 20912556 24397982 26834556 30860322 36003709 36596973 48795964 61720644 72007418 73193946 108011127 144014836 146387892 216022254 241739189 252025963 432044508 483478378 504051926 725217567 756077889 966956756 1008103852 1450435134 1512155778 1692174323 2900870268 3024311556 3384348646 5076522969 6768697292 10153045938 11845220261 20306091876 23690440522 35535660783 47380881044 71071321566 142142643132