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142303431024 = 243228112372843
BaseRepresentation
bin1000010010000111110…
…0100000100101110000
3111121022101000022002100
42010201330200211300
54312414134243044
6145212344220400
713165261130436
oct2044174404560
9447271008070
10142303431024
1155394638a47
12236b516a700
131055ab68a31
146c5d510d56
153a7d06e869
hex2121f20970

142303431024 has 120 divisors (see below), whose sum is σ = 400133019312. Its totient is φ = 47210849280.

The previous prime is 142303430993. The next prime is 142303431079. The reversal of 142303431024 is 420134303241.

142303431024 is a `hidden beast` number, since 1 + 42 + 303 + 4 + 310 + 2 + 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, 50052547 + ... + 50055389.

Almost surely, 2142303431024 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 142303431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200066509656).

142303431024 is an abundant number, since it is smaller than the sum of its proper divisors (257829588288).

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

142303431024 is a wasteful number, since it uses less digits than its factorization.

142303431024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4366 counting only the distinct ones).

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

Adding to 142303431024 its reverse (420134303241), we get a palindrome (562437734265).

The spelling of 142303431024 in words is "one hundred forty-two billion, three hundred three million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1237 1686 2248 2474 2529 2843 3372 3711 4496 4948 5058 5686 6744 7422 8529 9896 10116 11133 11372 13488 14844 17058 19792 20232 22266 22744 25587 29688 34116 40464 44532 45488 51174 59376 68232 89064 102348 136464 178128 204696 347597 409392 695194 798883 1042791 1390388 1597766 2085582 2396649 2780776 3128373 3195532 3516791 4171164 4793298 5561552 6256746 6391064 7033582 7189947 8342328 9586596 10550373 12513492 12782128 14067164 14379894 16684656 19173192 21100746 25026984 28134328 28759788 31651119 38346384 42201492 50053968 56268656 57519576 63302238 84402984 115039152 126604476 168805968 253208952 506417904 988218271 1976436542 2964654813 3952873084 5929309626 7905746168 8893964439 11858619252 15811492336 17787928878 23717238504 35575857756 47434477008 71151715512 142303431024