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142205332512 = 2532373987151
BaseRepresentation
bin1000010001110000011…
…0010010110000100000
3111121001112102101020010
42010130012102300200
54312214031120022
6145154521444520
713162660245105
oct2043406226040
9447045371203
10142205332512
11553442260a1
1223688340740
131054373c889
146c50496aac
153a7464350c
hex211c192c20

142205332512 has 96 divisors (see below), whose sum is σ = 390050519040. Its totient is φ = 45278956800.

The previous prime is 142205332501. The next prime is 142205332513. The reversal of 142205332512 is 215233502241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142205332512.

It is not an unprimeable number, because it can be changed into a prime (142205332513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588137 + ... + 1675287.

It is an arithmetic number, because the mean of its divisors is an integer number (4063026240).

Almost surely, 2142205332512 is an apocalyptic number.

142205332512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142205332512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195025259520).

142205332512 is an abundant number, since it is smaller than the sum of its proper divisors (247845186528).

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

142205332512 is a wasteful number, since it uses less digits than its factorization.

142205332512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87926 (or 87918 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 142205332512 its reverse (215233502241), we get a palindrome (357438834753).

The spelling of 142205332512 in words is "one hundred forty-two billion, two hundred five million, three hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 739 1104 1478 2208 2217 2956 4434 5912 8868 11824 16997 17736 23648 33994 35472 50991 67988 70944 87151 101982 135976 174302 203964 261453 271952 348604 407928 522906 543904 697208 815856 1045812 1394416 1631712 2004473 2091624 2788832 4008946 4183248 6013419 8017892 8366496 12026838 16035784 24053676 32071568 48107352 64143136 64404589 96214704 128809178 192429408 193213767 257618356 386427534 515236712 772855068 1030473424 1481305547 1545710136 2060946848 2962611094 3091420272 4443916641 5925222188 6182840544 8887833282 11850444376 17775666564 23700888752 35551333128 47401777504 71102666256 142205332512