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142304132004 = 223131137719919
BaseRepresentation
bin1000010010000111111…
…1001011101110100100
3111121022102022220122120
42010201333023232210
54312414324211004
6145212411225540
713165300110216
oct2044177135644
9447272286576
10142304132004
1155394a77671
12236b54482b0
131055b052b08
146c5d6545b6
153a7d15c3d9
hex2121fcbba4

142304132004 has 96 divisors (see below), whose sum is σ = 337855795200. Its totient is φ = 46613249280.

The previous prime is 142304131987. The next prime is 142304132039. The reversal of 142304132004 is 400231403241.

142304132004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154846257 + ... + 154847175.

It is an arithmetic number, because the mean of its divisors is an integer number (3519331200).

Almost surely, 2142304132004 is an apocalyptic number.

It is an amenable number.

142304132004 is an abundant number, since it is smaller than the sum of its proper divisors (195551663196).

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

142304132004 is a wasteful number, since it uses less digits than its factorization.

142304132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 142304132004 its reverse (400231403241), we get a palindrome (542535535245).

The spelling of 142304132004 in words is "one hundred forty-two billion, three hundred four million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 12 131 137 262 274 393 411 524 548 719 786 822 919 1438 1572 1644 1838 2157 2757 2876 3676 4314 5514 8628 11028 17947 35894 53841 71788 94189 98503 107682 120389 125903 188378 197006 215364 240778 251806 282567 295509 361167 376756 377709 394012 481556 503612 565134 591018 660761 722334 755418 1130268 1182036 1321522 1444668 1510836 1982283 2643044 3964566 7929132 12903893 16493293 25807786 32986586 38711679 49479879 51615572 65973172 77423358 86559691 90524257 98959758 154846716 173119382 181048514 197919516 259679073 271572771 346238764 362097028 519358146 543145542 1038716292 1086291084 11858677667 23717355334 35576033001 47434710668 71152066002 142304132004