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142301187441 = 32719711465731
BaseRepresentation
bin1000010010000111001…
…1111100110101110001
3111121022012210022110200
42010201303330311301
54312413100444231
6145212224145413
713165233064410
oct2044163746561
9447265708420
10142301187441
1155393346346
12236b4468269
131055a56177a
146c5d0c9477
153a7cc79be6
hex2121cfcd71

142301187441 has 24 divisors (see below), whose sum is σ = 236102353344. Its totient is φ = 80902190880.

The previous prime is 142301187419. The next prime is 142301187499. The reversal of 142301187441 is 144781103241.

142301187441 is a `hidden beast` number, since 1 + 4 + 2 + 30 + 1 + 187 + 441 = 666.

142301187441 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 142301187441 - 25 = 142301187409 is a prime.

It is a super-2 number, since 2×1423011874412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142301187396 and 142301187405.

It is not an unprimeable number, because it can be changed into a prime (142301137441) 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 23 ways as a sum of consecutive naturals, for example, 5720455 + ... + 5745276.

It is an arithmetic number, because the mean of its divisors is an integer number (9837598056).

Almost surely, 2142301187441 is an apocalyptic number.

It is an amenable number.

142301187441 is a deficient number, since it is larger than the sum of its proper divisors (93801165903).

142301187441 is a wasteful number, since it uses less digits than its factorization.

142301187441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11465941 (or 11465938 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 142301187441 in words is "one hundred forty-two billion, three hundred one million, one hundred eighty-seven thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 197 591 1379 1773 4137 12411 11465731 34397193 80260117 103191579 240780351 722341053 2258749007 6776247021 15811243049 20328741063 47433729147 142301187441