Search a number
-
+
40963265280 = 2832571729881
BaseRepresentation
bin100110001001100110…
…011101001100000000
310220201210121111001100
4212021212131030000
51132343043442110
630452424534400
72650052003250
oct461146351400
9126653544040
1040963265280
1116410771553
127b32621400
133b2a7ca212
141da84b5960
1510eb35dbc0
hex98999d300

40963265280 has 432 divisors, whose sum is σ = 171509292864. Its totient is φ = 8811970560.

The previous prime is 40963265237. The next prime is 40963265359. The reversal of 40963265280 is 8256236904.

40963265280 is a `hidden beast` number, since 4 + 0 + 9 + 632 + 6 + 5 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355940 + ... + 1385820.

It is an arithmetic number, because the mean of its divisors is an integer number (397012252).

Almost surely, 240963265280 is an apocalyptic number.

40963265280 is a gapful number since it is divisible by the number (40) 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 40963265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85754646432).

40963265280 is an abundant number, since it is smaller than the sum of its proper divisors (130546027584).

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

40963265280 is a wasteful number, since it uses less digits than its factorization.

40963265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29932 (or 29915 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40963265280 in words is "forty billion, nine hundred sixty-three million, two hundred sixty-five thousand, two hundred eighty".