Search a number
-
+
41000142240 = 25325234328789
BaseRepresentation
bin100110001011110011…
…001000010110100000
310220211101000000201200
4212023303020112200
51132432014022430
630500223201200
72651010313251
oct461363102640
9126741000650
1041000142240
111642a569782
127b42a46200
133b3533c3c5
141dad354b28
1510ee6e5460
hex98bcc85a0

41000142240 has 288 divisors, whose sum is σ = 149396607360. Its totient is φ = 10214443008.

The previous prime is 41000142233. The next prime is 41000142257. The reversal of 41000142240 is 4224100014.

41000142240 is a `hidden beast` number, since 410 + 0 + 0 + 14 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1409766 + ... + 1438554.

It is an arithmetic number, because the mean of its divisors is an integer number (518738220).

Almost surely, 241000142240 is an apocalyptic number.

41000142240 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 41000142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74698303680).

41000142240 is an abundant number, since it is smaller than the sum of its proper divisors (108396465120).

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

41000142240 is a wasteful number, since it uses less digits than its factorization.

41000142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28876 (or 28865 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 41000142240 its reverse (4224100014), we get a palindrome (45224242254).

The spelling of 41000142240 in words is "forty-one billion, one hundred forty-two thousand, two hundred forty".