Search a number
-
+
3113151413346 = 234135572653913
BaseRepresentation
bin101101010011010110010…
…010001011110001100010
3102000121120212121122020000
4231103112102023301202
5402001213230211341
610342054555000430
7440626536254412
oct55232622136142
912017525548200
103113151413346
11aa03098a4327
12423424139116
13197751bb6620
14aa96a858642
1555ea833d8b6
hex2d4d648bc62

3113151413346 has 80 divisors (see below), whose sum is σ = 7525852548984. Its totient is φ = 956172646656.

The previous prime is 3113151413293. The next prime is 3113151413377. The reversal of 3113151413346 is 6433141513113.

3113151413346 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 1 + 514 + 133 + 4 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 466982256321 + 2646169157025 = 683361^2 + 1626705^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3113151413346.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153915 + ... + 2499998.

Almost surely, 23113151413346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113151413346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762926274492).

3113151413346 is an abundant number, since it is smaller than the sum of its proper divisors (4412701135638).

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

3113151413346 is a wasteful number, since it uses less digits than its factorization.

3113151413346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654497 (or 2654488 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Adding to 3113151413346 its reverse (6433141513113), we get a palindrome (9546292926459).

The spelling of 3113151413346 in words is "three trillion, one hundred thirteen billion, one hundred fifty-one million, four hundred thirteen thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 557 702 1053 1114 1671 2106 3342 5013 7241 10026 14482 15039 21723 30078 43446 45117 65169 90234 130338 195507 391014 586521 1173042 2653913 5307826 7961739 15923478 23885217 34500869 47770434 69001738 71655651 103502607 143311302 207005214 214966953 310507821 429933906 621015642 931523463 1478229541 1863046926 2794570389 2956459082 4434688623 5589140778 8869377246 13304065869 19216984033 26608131738 38433968066 39912197607 57650952099 79824395214 115301904198 119736592821 172952856297 239473185642 345905712594 518858568891 1037717137782 1556575706673 3113151413346