Search a number
-
+
1430719800129 = 38147672
BaseRepresentation
bin10100110100011101100…
…010111010001101000001
312001202221022201100000000
4110310131202322031001
5141420103232101004
63013132534350213
7205236366434364
oct24643542721501
95052838640000
101430719800129
11501846034864
121b13491bb369
13a4bbb1517b9
144d3664a40db
152733a06cc39
hex14d1d8ba341

1430719800129 has 27 divisors (see below), whose sum is σ = 2146115999937. Its totient is φ = 953748609228.

The previous prime is 1430719800091. The next prime is 1430719800137. The reversal of 1430719800129 is 9210089170341.

The square root of 1430719800129 is 1196127.

It is a perfect power (a square), and thus also a powerful number.

1430719800129 is a `hidden beast` number, since 1 + 430 + 7 + 1 + 98 + 0 + 0 + 129 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 1430719800129 - 27 = 1430719800001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1430719800179) 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 26 ways as a sum of consecutive naturals, for example, 96878904 + ... + 96893670.

Almost surely, 21430719800129 is an apocalyptic number.

1430719800129 is the 1196127-th square number.

1430719800129 is the 598064-th centered octagonal number.

It is an amenable number.

1430719800129 is a deficient number, since it is larger than the sum of its proper divisors (715396199808).

1430719800129 is an frugal number, since it uses more digits than its factorization.

1430719800129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1430719800129 in words is "one trillion, four hundred thirty billion, seven hundred nineteen million, eight hundred thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 2187 6561 14767 44301 132903 398709 1196127 3588381 10765143 32295429 96886287 218064289 654192867 1962578601 5887735803 17663207409 52989622227 158968866681 476906600043 1430719800129