Search a number
-
+
1473127430400 = 2835522989367
BaseRepresentation
bin10101011011111101001…
…111001011100100000000
312012211101210011011100000
4111123331033023210000
5143113431110233100
63044425001200000
7211300320361413
oct25337517134400
95184353134300
101473127430400
1151882803708a
121b9603490000
13a8bb8c61a52
145142a719b7a
15284bd0d6900
hex156fd3cb900

1473127430400 has 1296 divisors, whose sum is σ = 5729220806400. Its totient is φ = 374004449280.

The previous prime is 1473127430387. The next prime is 1473127430419. The reversal of 1473127430400 is 40347213741.

1473127430400 is a `hidden beast` number, since 14 + 73 + 1 + 274 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4013971017 + ... + 4013971383.

Almost surely, 21473127430400 is an apocalyptic number.

1473127430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1473127430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864610403200).

1473127430400 is an abundant number, since it is smaller than the sum of its proper divisors (4256093376000).

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

1473127430400 is an equidigital number, since it uses as much as digits as its factorization.

1473127430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 1473127430400 in words is "one trillion, four hundred seventy-three billion, one hundred twenty-seven million, four hundred thirty thousand, four hundred".