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142395401511 = 321129139356819
BaseRepresentation
bin1000010010011101101…
…1010110010100100111
3111121112210001212212200
42010213123112110213
54313111210322021
6145225431345543
713200455641116
oct2044733262447
9447483055780
10142395401511
1155431545810
122371bb222b3
1310573c2a83c
146c6b811c7d
153a8618a126
hex21276d6527

142395401511 has 48 divisors (see below), whose sum is σ = 233788464000. Its totient is φ = 82724685120.

The previous prime is 142395401507. The next prime is 142395401527. The reversal of 142395401511 is 115104593241.

142395401511 is a `hidden beast` number, since 1 + 4 + 239 + 5 + 401 + 5 + 11 = 666.

142395401511 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 142395401511 - 22 = 142395401507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142395401531) 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 47 ways as a sum of consecutive naturals, for example, 220660 + ... + 577478.

It is an arithmetic number, because the mean of its divisors is an integer number (4870593000).

Almost surely, 2142395401511 is an apocalyptic number.

142395401511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142395401511 is a deficient number, since it is larger than the sum of its proper divisors (91393062489).

142395401511 is a wasteful number, since it uses less digits than its factorization.

142395401511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357004 (or 357001 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 142395401511 its reverse (115104593241), we get a palindrome (257499994752).

The spelling of 142395401511 in words is "one hundred forty-two billion, three hundred ninety-five million, four hundred one thousand, five hundred eleven".

Divisors: 1 3 9 11 29 33 87 99 139 261 319 417 957 1251 1529 2871 4031 4587 12093 13761 36279 44341 133023 356819 399069 1070457 3211371 3925009 10347751 11775027 31043253 35325081 49597841 93129759 113825261 148793523 341475783 446380569 545576251 1024427349 1438337389 1636728753 4315012167 4910186259 12945036501 15821711279 47465133837 142395401511