Search a number
-
+
2992714834448 = 2431131208122133
BaseRepresentation
bin101011100011001011101…
…101000110001000010000
3101121002201102221112001202
4223203023231012020100
5343013034444200243
610210500105050332
7426134156241263
oct53431355061020
911532642845052
102992714834448
11a5422655aaa9
124040121869a8
1318929a421361
14a4bc3548cda
1552ca9d9b4b8
hex2b8cbb46210

2992714834448 has 80 divisors (see below), whose sum is σ = 6034290780672. Its totient is φ = 1436278272000.

The previous prime is 2992714834441. The next prime is 2992714834457. The reversal of 2992714834448 is 8444384172992.

It is a super-3 number, since 3×29927148344483 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2992714834441) 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, 135203990 + ... + 135226122.

Almost surely, 22992714834448 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 2992714834448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017145390336).

2992714834448 is an abundant number, since it is smaller than the sum of its proper divisors (3041575946224).

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

2992714834448 is a wasteful number, since it uses less digits than its factorization.

2992714834448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24384 (or 24378 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 65.

The spelling of 2992714834448 in words is "two trillion, nine hundred ninety-two billion, seven hundred fourteen million, eight hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 1048 2081 2096 4061 4162 8122 8324 16244 16648 22133 32488 33296 44266 64511 64976 88532 129022 177064 258044 272611 354128 516088 545222 686123 1032176 1090444 1372246 2180888 2744492 2899423 4361776 5488984 5798846 8450941 10977968 11597692 16901882 23195384 33803764 46058773 46390768 67607528 89882113 92117546 135215056 179764226 184235092 359528452 368470184 719056904 736940368 1427821963 1438113808 2855643926 5711287852 6033699263 11422575704 12067398526 22845151408 24134797052 48269594104 96539188208 187044677153 374089354306 748178708612 1496357417224 2992714834448