Search a number
-
+
41662277440 = 265727137423
BaseRepresentation
bin100110110011010000…
…111110011101000000
310222112111220222110121
4212303100332131000
51140311020334230
631050035110024
73003300341500
oct466320763500
9128474828417
1041662277440
111673a2a6753
1280a8742314
133c0c581a94
142033273a00
15113c8d877a
hex9b343e740

41662277440 has 168 divisors, whose sum is σ = 117034129152. Its totient is φ = 14082647040.

The previous prime is 41662277399. The next prime is 41662277491. The reversal of 41662277440 is 4477226614.

It is a super-2 number, since 2×416622774402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094569 + ... + 1131991.

Almost surely, 241662277440 is an apocalyptic number.

41662277440 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 41662277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58517064576).

41662277440 is an abundant number, since it is smaller than the sum of its proper divisors (75371851712).

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

41662277440 is a wasteful number, since it uses less digits than its factorization.

41662277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37525 (or 37508 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 41662277440 in words is "forty-one billion, six hundred sixty-two million, two hundred seventy-seven thousand, four hundred forty".