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142013140320 = 2535331893839
BaseRepresentation
bin1000010001000010100…
…1001000110101100000
3111120120010210000002210
42010100221020311200
54311320330442240
6145123454242120
713155134530032
oct2042051106540
9446503700083
10142013140320
1155255796277
1223633ab6340
131051298a39c
146c32b47c52
153a6282c780
hex2110a48d60

142013140320 has 96 divisors (see below), whose sum is σ = 448693378560. Its totient is φ = 37755717120.

The previous prime is 142013140301. The next prime is 142013140369. The reversal of 142013140320 is 23041310241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288040 + ... + 605799.

It is an arithmetic number, because the mean of its divisors is an integer number (4673889360).

Almost surely, 2142013140320 is an apocalyptic number.

142013140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142013140320 is an abundant number, since it is smaller than the sum of its proper divisors (306680238240).

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

142013140320 is a wasteful number, since it uses less digits than its factorization.

142013140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894188 (or 894180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 142013140320 its reverse (23041310241), we get a palindrome (165054450561).

The spelling of 142013140320 in words is "one hundred forty-two billion, thirteen million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 331 480 662 993 1324 1655 1986 2648 3310 3972 4965 5296 6620 7944 9930 10592 13240 15888 19860 26480 31776 39720 52960 79440 158880 893839 1787678 2681517 3575356 4469195 5363034 7150712 8938390 10726068 13407585 14301424 17876780 21452136 26815170 28602848 35753560 42904272 53630340 71507120 85808544 107260680 143014240 214521360 295860709 429042720 591721418 887582127 1183442836 1479303545 1775164254 2366885672 2958607090 3550328508 4437910635 4733771344 5917214180 7100657016 8875821270 9467542688 11834428360 14201314032 17751642540 23668856720 28402628064 35503285080 47337713440 71006570160 142013140320