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1430755684164 = 22321993572
BaseRepresentation
bin10100110100011111101…
…011110010111101000100
312001210000211020102122100
4110310133223302331010
5141420141423343124
63013140255432100
7205240313440512
oct24643753627504
95053024212570
101430755684164
11501864313a94
121b1359225630
13a4bc5706a61
144d36b1654b2
152733d2aa1c9
hex14d1faf2f44

1430755684164 has 27 divisors (see below), whose sum is σ = 3616650565437. Its totient is φ = 476916169104.

The previous prime is 1430755684157. The next prime is 1430755684181. The reversal of 1430755684164 is 4614865570341.

The square root of 1430755684164 is 1196142.

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

1430755684164 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 7 + 556 + 84 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1418123722500 + 12631961664 = 1190850^2 + 112392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1430755684164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7077174 + ... + 7276530.

Almost surely, 21430755684164 is an apocalyptic number.

1430755684164 is the 1196142-nd square number.

It is an amenable number.

1430755684164 is an abundant number, since it is smaller than the sum of its proper divisors (2185894881273).

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

1430755684164 is an frugal number, since it uses more digits than its factorization.

1430755684164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398724 (or 199362 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1430755684164 in words is "one trillion, four hundred thirty billion, seven hundred fifty-five million, six hundred eighty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 199357 398714 598071 797428 1196142 1794213 2392284 3588426 7176852 39743213449 79486426898 119229640347 158972853796 238459280694 357688921041 476918561388 715377842082 1430755684164