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142214233032 = 23342413892341
BaseRepresentation
bin1000010001110010100…
…0001111101111001000
3111121002011011120110000
42010130220033233020
54312223320424112
6145155440323000
713163126015124
oct2043450175710
9447064146400
10142214233032
11553492551a3
122368b313460
1310545537b61
146c51732584
153a753007dc
hex211ca0fbc8

142214233032 has 160 divisors (see below), whose sum is σ = 401183897400. Its totient is φ = 47066572800.

The previous prime is 142214233019. The next prime is 142214233039. The reversal of 142214233032 is 230332412241.

142214233032 is a `hidden beast` number, since 1 + 422 + 1 + 4 + 233 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127959305796 + 14254927236 = 357714^2 + 119394^2 .

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 = 142214232987 and 142214233005.

It is not an unprimeable number, because it can be changed into a prime (142214233039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60748182 + ... + 60750522.

Almost surely, 2142214233032 is an apocalyptic number.

142214233032 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 142214233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200591948700).

142214233032 is an abundant number, since it is smaller than the sum of its proper divisors (258969664368).

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

142214233032 is a wasteful number, since it uses less digits than its factorization.

142214233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2976 counting only the distinct ones).

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

Adding to 142214233032 its reverse (230332412241), we get a palindrome (372546645273).

The spelling of 142214233032 in words is "one hundred forty-two billion, two hundred fourteen million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 241 324 389 482 648 723 778 964 1167 1446 1556 1928 2169 2334 2341 2892 3112 3501 4338 4668 4682 5784 6507 7002 7023 8676 9336 9364 10503 13014 14004 14046 17352 18728 19521 21006 21069 26028 28008 28092 31509 39042 42012 42138 52056 56184 63018 63207 78084 84024 84276 93749 126036 126414 156168 168552 187498 189621 252072 252828 281247 374996 379242 505656 562494 564181 749992 758484 843741 910649 1124988 1128362 1516968 1687482 1692543 1821298 2249976 2256724 2531223 2731947 3374964 3385086 3642596 4513448 5062446 5077629 5463894 6749928 6770172 7285192 7593669 8195841 10124892 10155258 10927788 13540344 15187338 15232887 16391682 20249784 20310516 21855576 24587523 30374676 30465774 32783364 40621032 45698661 49175046 60749352 60931548 65566728 73762569 91397322 98350092 121863096 147525138 182794644 196700184 219466409 295050276 365589288 438932818 590100552 658399227 877865636 1316798454 1755731272 1975197681 2633596908 3950395362 5267193816 5925593043 7900790724 11851186086 15801581448 17776779129 23702372172 35553558258 47404744344 71107116516 142214233032