Search a number
-
+
405053331056 = 241124110938737
BaseRepresentation
bin1011110010011110000…
…11110101011001110000
31102201111212022012000022
411321033003311121300
523114022123043211
6510025014343012
741156412335423
oct5711703653160
91381455265008
10405053331056
11146867055860
126660365aa68
132c27255056a
14158673879ba
15a80a386bdb
hex5e4f0f5670

405053331056 has 80 divisors (see below), whose sum is σ = 860572904928. Its totient is φ = 183162470400.

The previous prime is 405053331029. The next prime is 405053331073. The reversal of 405053331056 is 650133350504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46356320 + ... + 46365056.

Almost surely, 2405053331056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405053331056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430286452464).

405053331056 is an abundant number, since it is smaller than the sum of its proper divisors (455519573872).

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

405053331056 is a wasteful number, since it uses less digits than its factorization.

405053331056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10090 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 405053331056 in words is "four hundred five billion, fifty-three million, three hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 241 482 964 1093 1928 2186 2651 3856 4372 5302 8737 8744 10604 12023 17474 17488 21208 24046 34948 42416 48092 69896 96107 96184 139792 192214 192368 263413 384428 526826 768856 1053652 1537712 2105617 2107304 2897543 4211234 4214608 5795086 8422468 9549541 11590172 16844936 19099082 23161787 23180344 33689872 38198164 46323574 46360688 76396328 92647148 105044951 152792656 185294296 210089902 370588592 420179804 840359608 1680719216 2301439381 4602878762 9205757524 18411515048 25315833191 36823030096 50631666382 101263332764 202526665528 405053331056