Search a number
-
+
3940884144 = 24339122417
BaseRepresentation
bin1110101011100101…
…0001111010110000
3101011122110122202000
43222321101322300
531032331243034
61451014454000
7166441651101
oct35271217260
911148418660
103940884144
11174258764a
1291b964300
134aa5c4012
142955663a8
15180e99599
hexeae51eb0

3940884144 has 40 divisors (see below), whose sum is σ = 11311798320. Its totient is φ = 1313627904.

The previous prime is 3940884131. The next prime is 3940884179. The reversal of 3940884144 is 4414880493.

It is a super-2 number, since 2×39408841442 = 31061135672861225472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3940884144.

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 7 ways as a sum of consecutive naturals, for example, 4560777 + ... + 4561640.

It is an arithmetic number, because the mean of its divisors is an integer number (282794958).

Almost surely, 23940884144 is an apocalyptic number.

It is an amenable number.

3940884144 is an abundant number, since it is smaller than the sum of its proper divisors (7370914176).

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

3940884144 is a wasteful number, since it uses less digits than its factorization.

3940884144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122434 (or 9122422 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3940884144 is about 62776.4617034124. The cubic root of 3940884144 is about 1579.5421607799.

It can be divided in two parts, 3940884 and 144, that added together give a triangular number (3941028 = T2807).

The spelling of 3940884144 in words is "three billion, nine hundred forty million, eight hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9122417 18244834 27367251 36489668 54734502 72979336 82101753 109469004 145958672 164203506 218938008 246305259 328407012 437876016 492610518 656814024 985221036 1313628048 1970442072 3940884144