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2444041314 = 23211137313007
BaseRepresentation
bin1001000110101101…
…0001110001100010
320022022220011101200
42101223101301202
520001133310224
61042304142030
7114365002611
oct22153216142
96268804350
102444041314
111044663460
12582607916
132cc468ac0
14192845878
15e48755c9
hex91ad1c62

2444041314 has 96 divisors (see below), whose sum is σ = 6306902784. Its totient is φ = 674231040.

The previous prime is 2444041291. The next prime is 2444041331. The reversal of 2444041314 is 4131404442.

2444041314 is a `hidden beast` number, since 244 + 4 + 0 + 413 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181399 + ... + 194405.

It is an arithmetic number, because the mean of its divisors is an integer number (65696904).

Almost surely, 22444041314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444041314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153451392).

2444041314 is an abundant number, since it is smaller than the sum of its proper divisors (3862861470).

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

2444041314 is a wasteful number, since it uses less digits than its factorization.

2444041314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13112 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2444041314 is about 49437.2462218518. The cubic root of 2444041314 is about 1347.0059506717.

Adding to 2444041314 its reverse (4131404442), we get a palindrome (6575445756).

The spelling of 2444041314 in words is "two billion, four hundred forty-four million, forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 73 78 99 117 143 146 198 219 234 286 429 438 657 803 858 949 1287 1314 1606 1898 2409 2574 2847 4818 5694 7227 8541 10439 13007 14454 17082 20878 26014 31317 39021 62634 78042 93951 117063 143077 169091 187902 234126 286154 338182 429231 507273 858462 949511 1014546 1287693 1521819 1860001 1899022 2575386 2848533 3043638 3720002 5580003 5697066 8545599 10444621 11160006 12343643 16740009 17091198 20889242 24687286 31333863 33480018 37030929 62667726 74061858 94001589 111092787 135780073 188003178 222185574 271560146 407340219 814680438 1222020657 2444041314