Search a number
-
+
242134404000 = 25353191061993
BaseRepresentation
bin1110000110000001010…
…1011100101110100000
3212010222202121011211220
43201200111130232200
512431342401412000
6303122432335040
723331213321666
oct3414025345640
9763882534756
10242134404000
1193763616595
123ab163a4480
1319aaa646c88
14ba0dd32c36
15647251c1a0
hex386055cba0

242134404000 has 192 divisors, whose sum is σ = 834982162560. Its totient is φ = 61170739200.

The previous prime is 242134403933. The next prime is 242134404007. The reversal of 242134404000 is 404431242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242134404007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302997 + ... + 758996.

It is an arithmetic number, because the mean of its divisors is an integer number (4348865430).

Almost surely, 2242134404000 is an apocalyptic number.

242134404000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242134404000 is an abundant number, since it is smaller than the sum of its proper divisors (592847758560).

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

242134404000 is a wasteful number, since it uses less digits than its factorization.

242134404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062040 (or 1062022 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242134404000 its reverse (404431242), we get a palindrome (242538835242).

The spelling of 242134404000 in words is "two hundred forty-two billion, one hundred thirty-four million, four hundred four thousand".