Search a number
-
+
235374121726240 = 25571916397172001
BaseRepresentation
bin110101100001001001001110…
…111010100011000100100000
31010212101112202020110210112211
4311201021032322203010200
5221322332200130214430
62152333213452131504
7100402135104666010
oct6541111672430440
91125345666423484
10235374121726240
1168aa7671584152
12224950b9166b94
13a1448b89398a3
14421a24da6dc40
151c3294b12672a
hexd6124eea3120

235374121726240 has 192 divisors, whose sum is σ = 638940986707968. Its totient is φ = 80264171520000.

The previous prime is 235374121726231. The next prime is 235374121726301. The reversal of 235374121726240 is 42627121473532.

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, 1368360240 + ... + 1368532240.

It is an arithmetic number, because the mean of its divisors is an integer number (3327817639104).

Almost surely, 2235374121726240 is an apocalyptic number.

235374121726240 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 235374121726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319470493353984).

235374121726240 is an abundant number, since it is smaller than the sum of its proper divisors (403566864981728).

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

235374121726240 is a wasteful number, since it uses less digits than its factorization.

235374121726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178611 (or 178603 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 235374121726240 in words is "two hundred thirty-five trillion, three hundred seventy-four billion, one hundred twenty-one million, seven hundred twenty-six thousand, two hundred forty".