Search a number
-
+
5033314444004 = 22711191479317851
BaseRepresentation
bin100100100111110100011…
…1010110110001011100100
3122211011212100010020012122
41021033220322312023210
51124431211444202004
614412134524405112
71026434136602060
oct111175072661344
918734770106178
105033314444004
111670686870410
126935a69a6798
132a6841027c22
1413588408aaa0
158addc302cbe
hex493e8eb62e4

5033314444004 has 96 divisors (see below), whose sum is σ = 11042194931712. Its totient is φ = 1950248160000.

The previous prime is 5033314444003. The next prime is 5033314444057. The reversal of 5033314444004 is 4004444133305.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5033314444003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281953679 + ... + 281971529.

It is an arithmetic number, because the mean of its divisors is an integer number (115022863872).

Almost surely, 25033314444004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5033314444004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521097465856).

5033314444004 is an abundant number, since it is smaller than the sum of its proper divisors (6008880487708).

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

5033314444004 is a wasteful number, since it uses less digits than its factorization.

5033314444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22857 (or 22855 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 5033314444004 its reverse (4004444133305), we get a palindrome (9037758577309).

The spelling of 5033314444004 in words is "five trillion, thirty-three billion, three hundred fourteen million, four hundred forty-four thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 191 308 382 764 1337 2101 2674 4202 4793 5348 8404 9586 14707 17851 19172 29414 33551 35702 52723 58828 67102 71404 105446 124957 134204 196361 210892 249914 369061 392722 499828 738122 785444 915463 1374527 1476244 1830926 2749054 3409541 3661852 5498108 6408241 6819082 10070093 12816482 13638164 20140186 23866787 25632964 37504951 40280372 47733574 70490651 75009902 85559843 95467148 140981302 150019804 171119686 262534657 281962604 342239372 525069314 598918901 941158273 1050138628 1197837802 1882316546 2395675604 3764633092 6588107911 13176215822 16341930013 26352431644 32683860026 65367720052 114393510091 179761230143 228787020182 359522460286 457574040364 719044920572 1258328611001 2516657222002 5033314444004