Search a number
-
+
1430443130040 = 233256778117237
BaseRepresentation
bin10100110100001101000…
…011011111110010111000
312001202020001010000222200
4110310031003133302320
5141414021420130130
63013045252350200
7205226466663141
oct24641503376270
95052201100880
101430443130040
115017139454a1
121b1290615360
13a4b75a319a2
144d33b844ac8
1527320b1b760
hex14d0d0dfcb8

1430443130040 has 192 divisors, whose sum is σ = 4662192094560. Its totient is φ = 380365839360.

The previous prime is 1430443129979. The next prime is 1430443130093. The reversal of 1430443130040 is 400313440341.

1430443130040 is a `hidden beast` number, since 1 + 4 + 304 + 4 + 313 + 0 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1430443129986 and 1430443130013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197653302 + ... + 197660538.

Almost surely, 21430443130040 is an apocalyptic number.

1430443130040 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 1430443130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331096047280).

1430443130040 is an abundant number, since it is smaller than the sum of its proper divisors (3231748964520).

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

1430443130040 is a wasteful number, since it uses less digits than its factorization.

1430443130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 8735 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1430443130040 its reverse (400313440341), we get a palindrome (1830756570381).

The spelling of 1430443130040 in words is "one trillion, four hundred thirty billion, four hundred forty-three million, one hundred thirty thousand, forty".