Search a number
-
+
42935130000 = 243354722717
BaseRepresentation
bin100111111111001000…
…100001011110010000
311002211020000120221000
4213333020201132100
51200412343130000
631420224502000
73046654404060
oct477710413620
9132736016830
1042935130000
1117232841714
1283a2a7a900
1340831a3289
1421143293a0
1511b4515000
hex9ff221790

42935130000 has 400 divisors, whose sum is σ = 176008159360. Its totient is φ = 9813312000.

The previous prime is 42935129989. The next prime is 42935130019. The reversal of 42935130000 is 3153924.

42935130000 is a `hidden beast` number, since 4 + 2 + 9 + 351 + 300 + 0 + 0 = 666.

42935130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1878642 + ... + 1901358.

Almost surely, 242935130000 is an apocalyptic number.

42935130000 is a gapful number since it is divisible by the number (40) 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 42935130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88004079680).

42935130000 is an abundant number, since it is smaller than the sum of its proper divisors (133073029360).

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

42935130000 is a wasteful number, since it uses less digits than its factorization.

42935130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22761 (or 22734 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 42935130000 its reverse (3153924), we get a palindrome (42938283924).

The spelling of 42935130000 in words is "forty-two billion, nine hundred thirty-five million, one hundred thirty thousand".