Search a number
-
+
234508105479360 = 26352920551409879
BaseRepresentation
bin110101010100100010101100…
…010100101111010011000000
31010202022202102002010020121110
4311110202230110233103000
5221214140100000314420
62150431311510323320
7100252436316232626
oct6524425424572300
91122282362106543
10234508105479360
11687a3368a25039
12223752aa059540
13a0b103399924b
1441ca377c17516
151c1a162339ee0
hexd548ac52f4c0

234508105479360 has 224 divisors, whose sum is σ = 770277187814400. Its totient is φ = 60376013107200.

The previous prime is 234508105479283. The next prime is 234508105479397. The reversal of 234508105479360 is 63974501805432.

It is a self number, because there is not a number n which added to its sum of digits gives 234508105479360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571934901 + ... + 572344779.

It is an arithmetic number, because the mean of its divisors is an integer number (3438737445600).

It is a 1-persistent number, because it is pandigital, but 2⋅234508105479360 = 469016210958720 is not.

Almost surely, 2234508105479360 is an apocalyptic number.

234508105479360 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 234508105479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385138593907200).

234508105479360 is an abundant number, since it is smaller than the sum of its proper divisors (535769082335040).

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

234508105479360 is a wasteful number, since it uses less digits than its factorization.

234508105479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430479 (or 430469 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 234508105479360 in words is "two hundred thirty-four trillion, five hundred eight billion, one hundred five million, four hundred seventy-nine thousand, three hundred sixty".