Search a number
-
+
234240491520 = 2143557412
BaseRepresentation
bin1101101000100111010…
…0100100000000000000
3211101121121210212200000
43122021310210000000
512314211031212040
6255335242400000
722631461216620
oct3321164440000
9741547725600
10234240491520
1190382718282
1239492800000
1319120099449
14b4a17a2880
15615e4ca130
hex3689d24000

234240491520 has 1080 divisors, whose sum is σ = 986426156352. Its totient is φ = 52234813440.

The previous prime is 234240491509. The next prime is 234240491543. The reversal of 234240491520 is 25194042432.

It is a happy number.

234240491520 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 40 + 4 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 71 ways as a sum of consecutive naturals, for example, 5713182700 + ... + 5713182740.

Almost surely, 2234240491520 is an apocalyptic number.

234240491520 is a gapful number since it is divisible by the number (20) 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 234240491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493213078176).

234240491520 is an abundant number, since it is smaller than the sum of its proper divisors (752185664832).

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

234240491520 is an frugal number, since it uses more digits than its factorization.

234240491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 234240491520 in words is "two hundred thirty-four billion, two hundred forty million, four hundred ninety-one thousand, five hundred twenty".