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142249738953 = 373737923971
BaseRepresentation
bin1000010001111010111…
…1101100001011001001
3111121011121222110102010
42010132233230023021
54312311413121303
6145203145330133
713164036555000
oct2043657541311
9447147873363
10142249738953
11553672a6333
122369b196949
131054c9b9c8a
146c56335c37
153a784b5c03
hex211ebec2c9

142249738953 has 64 divisors (see below), whose sum is σ = 227062784000. Its totient is φ = 79153925760.

The previous prime is 142249738931. The next prime is 142249738987. The reversal of 142249738953 is 359837942241.

142249738953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142249738953 - 26 = 142249738889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142249738893 and 142249738902.

It is not an unprimeable number, because it can be changed into a prime (142249738903) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5922258 + ... + 5946228.

It is an arithmetic number, because the mean of its divisors is an integer number (3547856000).

Almost surely, 2142249738953 is an apocalyptic number.

It is an amenable number.

142249738953 is a deficient number, since it is larger than the sum of its proper divisors (84813045047).

142249738953 is an equidigital number, since it uses as much as digits as its factorization.

142249738953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24147 (or 24133 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 142249738953 in words is "one hundred forty-two billion, two hundred forty-nine million, seven hundred thirty-eight thousand, nine hundred fifty-three".

Divisors: 1 3 7 21 49 73 79 147 219 237 343 511 553 1029 1533 1659 3577 3871 5767 10731 11613 17301 23971 25039 27097 40369 71913 75117 81291 121107 167797 282583 503391 847749 1174579 1749883 1893709 1978081 3523737 5249649 5681127 5934243 8222053 12249181 13255963 24666159 36747543 39767889 85744267 92791741 138240757 257232801 278375223 414722271 600209869 649542187 967685299 1800629607 1948626561 2903055897 6773797093 20321391279 47416579651 142249738953