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142134344424 = 233224117094793
BaseRepresentation
bin1000010001011111011…
…1011111101011101000
3111120212120211210212200
42010113313133223220
54312042343010144
6145143504140200
713161135664542
oct2042767375350
9446776753780
10142134344424
115530814a756
1223668607660
1310531b163a7
146c44c98692
153a6d2bec69
hex2117ddfae8

142134344424 has 96 divisors (see below), whose sum is σ = 386851350600. Its totient is φ = 47144079360.

The previous prime is 142134344419. The next prime is 142134344477. The reversal of 142134344424 is 424443431241.

142134344424 is a `hidden beast` number, since 1 + 4 + 213 + 434 + 4 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135043020324 + 7091324100 = 367482^2 + 84210^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 29652172 + ... + 29656964.

Almost surely, 2142134344424 is an apocalyptic number.

It is an amenable number.

142134344424 is an abundant number, since it is smaller than the sum of its proper divisors (244717006176).

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

142134344424 is a wasteful number, since it uses less digits than its factorization.

142134344424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6748 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 142134344424 its reverse (424443431241), we get a palindrome (566577775665).

The spelling of 142134344424 in words is "one hundred forty-two billion, one hundred thirty-four million, three hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 723 964 1446 1709 1928 2169 2892 3418 4338 4793 5127 5784 6836 8676 9586 10254 13672 14379 15381 17352 19172 20508 28758 30762 38344 41016 43137 57516 61524 86274 115032 123048 172548 345096 411869 823738 1155113 1235607 1647476 2310226 2471214 3294952 3465339 3706821 4620452 4942428 6930678 7413642 8191237 9240904 9884856 10396017 13861356 14827284 16382474 20792034 24573711 27722712 29654568 32764948 41584068 49147422 65529896 73721133 83168136 98294844 147442266 196589688 294884532 589769064 1974088117 3948176234 5922264351 7896352468 11844528702 15792704936 17766793053 23689057404 35533586106 47378114808 71067172212 142134344424