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142340013144 = 233272699104639
BaseRepresentation
bin1000010010010000100…
…0000011110001011000
3111121101220211212022200
42010210020003301120
54313003020410034
6145220132250200
713166214102030
oct2044410036130
9447356755280
10142340013144
11554032546aa
1223705470960
1310565606964
146c643148c0
153a81398a99
hex2124203c58

142340013144 has 96 divisors (see below), whose sum is σ = 440743680000. Its totient is φ = 40653118656.

The previous prime is 142340013121. The next prime is 142340013241. The reversal of 142340013144 is 441310043241.

142340013144 is a `hidden beast` number, since 1 + 4 + 2 + 340 + 0 + 1 + 314 + 4 = 666.

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, 1307977 + ... + 1412615.

It is an arithmetic number, because the mean of its divisors is an integer number (4591080000).

Almost surely, 2142340013144 is an apocalyptic number.

142340013144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142340013144 is an abundant number, since it is smaller than the sum of its proper divisors (298403666856).

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

142340013144 is a wasteful number, since it uses less digits than its factorization.

142340013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107357 (or 107350 counting only the distinct ones).

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

Adding to 142340013144 its reverse (441310043241), we get a palindrome (583650056385).

The spelling of 142340013144 in words is "one hundred forty-two billion, three hundred forty million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2699 5398 8097 10796 16194 18893 21592 24291 32388 37786 48582 56679 64776 75572 97164 104639 113358 151144 170037 194328 209278 226716 313917 340074 418556 453432 627834 680148 732473 837112 941751 1255668 1360296 1464946 1883502 2197419 2511336 2929892 3767004 4394838 5859784 6592257 7534008 8789676 13184514 17579352 26369028 52738056 282420661 564841322 847261983 1129682644 1694523966 1976944627 2259365288 2541785949 3389047932 3953889254 5083571898 5930833881 6778095864 7907778508 10167143796 11861667762 15815557016 17792501643 20334287592 23723335524 35585003286 47446671048 71170006572 142340013144