Search a number
-
+
1462443630130 = 257217281761821
BaseRepresentation
bin10101010010000000011…
…011101101111000110010
312011210211012200212120201
4111102000123231320302
5142430041032131010
63035500510225414
7210441500515600
oct25220033557062
95153735625521
101462443630130
1151424533788a
121b75214b526a
13a7ba56b7942
1450ad5838870
15280951a623a
hex154806ede32

1462443630130 has 192 divisors, whose sum is σ = 3262088679264. Its totient is φ = 469045248000.

The previous prime is 1462443630107. The next prime is 1462443630191. The reversal of 1462443630130 is 310363442641.

It can be written as a sum of positive squares in 16 ways, for example, as 8087225041 + 1454356405089 = 89929^2 + 1205967^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1462443630130.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1781295120 + ... + 1781295940.

Almost surely, 21462443630130 is an apocalyptic number.

1462443630130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1462443630130 is an abundant number, since it is smaller than the sum of its proper divisors (1799645049134).

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

1462443630130 is a wasteful number, since it uses less digits than its factorization.

1462443630130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 1462443630130 in words is "one trillion, four hundred sixty-two billion, four hundred forty-three million, six hundred thirty thousand, one hundred thirty".