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142344216 = 2334724483
BaseRepresentation
bin10000111110000…
…00000000011000
3100220211211120000
420133000000120
5242420003331
622042533000
73345622500
oct1037000030
9326754500
10142344216
1173393353
123b807160
132364b361
1414c94a00
15c76b0e6
hex87c0018

142344216 has 120 divisors (see below), whose sum is σ = 463892220. Its totient is φ = 40660704.

The previous prime is 142344199. The next prime is 142344229. The reversal of 142344216 is 612443241.

It is a happy number.

142344216 is a `hidden beast` number, since 1 + 4 + 234 + 421 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 142344216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29511 + ... + 33993.

Almost surely, 2142344216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142344216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231946110).

142344216 is an abundant number, since it is smaller than the sum of its proper divisors (321548004).

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

142344216 is a wasteful number, since it uses less digits than its factorization.

142344216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4495 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 142344216 is about 11930.8095282759. The cubic root of 142344216 is about 522.1315562197.

Adding to 142344216 its reverse (612443241), we get a palindrome (754787457).

The spelling of 142344216 in words is "one hundred forty-two million, three hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4483 4536 5292 7938 8966 10584 13449 15876 17932 26898 31381 31752 35864 40347 53796 62762 80694 94143 107592 121041 125524 161388 188286 219667 242082 251048 282429 322776 363123 376572 439334 484164 564858 659001 726246 753144 847287 878668 968328 1129716 1318002 1452492 1694574 1757336 1977003 2259432 2541861 2636004 2904984 3389148 3954006 5083722 5272008 5931009 6778296 7908012 10167444 11862018 15816024 17793027 20334888 23724036 35586054 47448072 71172108 142344216