Search a number
-
+
944418362016 = 25367620323671
BaseRepresentation
bin11011011111000111011…
…10001001001010100000
310100021201010202122222110
431233203232021022200
5110433132100041031
62001505415035320
7125142365424153
oct15574356111240
93307633678873
10944418362016
113345865a9698
1213304b96bb40
136b09b03035c
14339d26cbc9a
1519876d77c46
hexdbe3b892a0

944418362016 has 96 divisors (see below), whose sum is σ = 2516611603968. Its totient is φ = 310044430080.

The previous prime is 944418362011. The next prime is 944418362021. The reversal of 944418362016 is 610263814449.

It is a happy number.

944418362016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (944418362011) and next prime (944418362021).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (944418362011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39885861 + ... + 39909531.

It is an arithmetic number, because the mean of its divisors is an integer number (26214704208).

Almost surely, 2944418362016 is an apocalyptic number.

944418362016 is a gapful number since it is divisible by the number (96) 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 944418362016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258305801984).

944418362016 is an abundant number, since it is smaller than the sum of its proper divisors (1572193241952).

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

944418362016 is a wasteful number, since it uses less digits than its factorization.

944418362016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29954 (or 29946 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 944418362016 in words is "nine hundred forty-four billion, four hundred eighteen million, three hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6203 6432 12406 18609 23671 24812 37218 47342 49624 71013 74436 94684 99248 142026 148872 189368 198496 284052 297744 378736 415601 568104 595488 757472 831202 1136208 1246803 1585957 1662404 2272416 2493606 3171914 3324808 4757871 4987212 6343828 6649616 9515742 9974424 12687656 13299232 19031484 19948848 25375312 38062968 39897696 50750624 76125936 146831213 152251872 293662426 440493639 587324852 880987278 1174649704 1761974556 2349299408 3523949112 4698598816 7047898224 9837691271 14095796448 19675382542 29513073813 39350765084 59026147626 78701530168 118052295252 157403060336 236104590504 314806120672 472209181008 944418362016