Search a number
-
+
40010144 = 2561103199
BaseRepresentation
bin1001100010100…
…0000110100000
32210021201121012
42120220012200
540220311034
63545320052
7664036436
oct230500640
983251535
1040010144
1120648239
1211496028
13839b355
145456d56
1537a4cce
hex26281a0

40010144 has 48 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 19388160.

The previous prime is 40010123. The next prime is 40010147. The reversal of 40010144 is 44101004.

It is not an unprimeable number, because it can be changed into a prime (40010147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200957 + ... + 201155.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 240010144 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 40010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

40010144 is an abundant number, since it is smaller than the sum of its proper divisors (41234656).

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

40010144 is a wasteful number, since it uses less digits than its factorization.

40010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 40010144 is about 6325.3572231140. The cubic root of 40010144 is about 342.0240968852.

Adding to 40010144 its reverse (44101004), we get a palindrome (84111148).

The spelling of 40010144 in words is "forty million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 103 122 199 206 244 398 412 488 796 824 976 1592 1648 1952 3184 3296 6283 6368 12139 12566 20497 24278 25132 40994 48556 50264 81988 97112 100528 163976 194224 201056 327952 388448 655904 1250317 2500634 5001268 10002536 20005072 40010144