Search a number
-
+
8044944414 = 23137313710313
BaseRepresentation
bin1110111111000010…
…00001110000011110
3202202122222112001020
413133201001300132
5112434001210124
63410143025010
7403234620303
oct73741016036
922678875036
108044944414
1134591858a1
12168629b166
139b294b350
145646470aa
15321427379
hex1df841c1e

8044944414 has 64 divisors (see below), whose sum is σ = 17694863424. Its totient is φ = 2423402496.

The previous prime is 8044944379. The next prime is 8044944421. The reversal of 8044944414 is 4144494408.

It is a super-2 number, since 2×80449444142 (a number of 21 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 31 ways as a sum of consecutive naturals, for example, 774922 + ... + 785234.

It is an arithmetic number, because the mean of its divisors is an integer number (276482241).

Almost surely, 28044944414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8044944414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847431712).

8044944414 is an abundant number, since it is smaller than the sum of its proper divisors (9649919010).

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

8044944414 is a wasteful number, since it uses less digits than its factorization.

8044944414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10541.

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 8044944414 is about 89693.6141205158. The cubic root of 8044944414 is about 2003.7383757529.

The spelling of 8044944414 in words is "eight billion, forty-four million, nine hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 73 78 137 146 219 274 411 438 822 949 1781 1898 2847 3562 5343 5694 10001 10313 10686 20002 20626 30003 30939 60006 61878 130013 134069 260026 268138 390039 402207 752849 780078 804414 1412881 1505698 2258547 2825762 4238643 4517094 8477286 9787037 18367453 19574074 29361111 36734906 55102359 58722222 103140313 110204718 206280626 309420939 618841878 1340824069 2681648138 4022472207 8044944414