Search a number
-
+
41444334432 = 2532236256693
BaseRepresentation
bin100110100110010001…
…100101101101100000
310221222022211022212100
4212212101211231200
51134334222200212
631012251530400
72665013013234
oct464621455540
9127868738770
1041444334432
1116638278966
128047759a00
133ba6384717
1420123405c4
1511286d7bdc
hex9a6465b60

41444334432 has 72 divisors (see below), whose sum is σ = 122981577264. Its totient is φ = 13214133504.

The previous prime is 41444334353. The next prime is 41444334443. The reversal of 41444334432 is 23443344414.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×414443344322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3121723 + ... + 3134970.

It is an arithmetic number, because the mean of its divisors is an integer number (1708077462).

Almost surely, 241444334432 is an apocalyptic number.

It is an amenable number.

41444334432 is an abundant number, since it is smaller than the sum of its proper divisors (81537242832).

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

41444334432 is a wasteful number, since it uses less digits than its factorization.

41444334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256732 (or 6256721 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 41444334432 its reverse (23443344414), we get a palindrome (64887678846).

The spelling of 41444334432 in words is "forty-one billion, four hundred forty-four million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 6256693 12513386 18770079 25026772 37540158 50053544 56310237 75080316 100107088 112620474 143903939 150160632 200214176 225240948 287807878 300321264 431711817 450481896 575615756 600642528 863423634 900963792 1151231512 1295135451 1726847268 1801927584 2302463024 2590270902 3453694536 4604926048 5180541804 6907389072 10361083608 13814778144 20722167216 41444334432