Search a number
-
+
4144405216 = 257123714957
BaseRepresentation
bin1111011100000110…
…1001101011100000
3101200211102121011111
43313001221223200
531441431431331
61523124553104
7204462602020
oct36701515340
911624377144
104144405216
111837454a86
12977b52794
13510811ba3
142b45c3a80
15193c9bdb1
hexf7069ae0

4144405216 has 48 divisors (see below), whose sum is σ = 9333074016. Its totient is φ = 1774619136.

The previous prime is 4144405193. The next prime is 4144405273. The reversal of 4144405216 is 6125044414.

4144405216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269610 + ... + 284566.

It is an arithmetic number, because the mean of its divisors is an integer number (194439042).

Almost surely, 24144405216 is an apocalyptic number.

It is an amenable number.

4144405216 is an abundant number, since it is smaller than the sum of its proper divisors (5188668800).

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

4144405216 is a wasteful number, since it uses less digits than its factorization.

4144405216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16211 (or 16203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 4144405216 is about 64377.0550429266. The cubic root of 4144405216 is about 1606.2780962226.

The spelling of 4144405216 in words is "four billion, one hundred forty-four million, four hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1237 2474 4948 8659 9896 14957 17318 19792 29914 34636 39584 59828 69272 104699 119656 138544 209398 239312 277088 418796 478624 837592 1675184 3350368 18501809 37003618 74007236 129512663 148014472 259025326 296028944 518050652 592057888 1036101304 2072202608 4144405216