Search a number
-
+
3034111434112 = 27119912174479
BaseRepresentation
bin101100001001101111001…
…000100101110110000000
3101202001120102221200010201
4230021233020211312000
5344202330011342422
610241503533534544
7432131052443233
oct54115710456600
911661512850121
103034111434112
11a6a839895040
12410045944454
13190166931745
14a6bcd3c141a
1553dce2a5727
hex2c26f225d80

3034111434112 has 64 divisors (see below), whose sum is σ = 6600677529600. Its totient is φ = 1377749260800.

The previous prime is 3034111434083. The next prime is 3034111434149. The reversal of 3034111434112 is 2114341114303.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308089 + ... + 2482567.

It is an arithmetic number, because the mean of its divisors is an integer number (103135586400).

Almost surely, 23034111434112 is an apocalyptic number.

3034111434112 is a gapful number since it is divisible by the number (32) 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 3034111434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300338764800).

3034111434112 is an abundant number, since it is smaller than the sum of its proper divisors (3566566095488).

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

3034111434112 is a wasteful number, since it uses less digits than its factorization.

3034111434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175495 (or 2175483 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 3034111434112 its reverse (2114341114303), we get a palindrome (5148452548415).

The spelling of 3034111434112 in words is "three trillion, thirty-four billion, one hundred eleven million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 991 1408 1982 3964 7928 10901 15856 21802 31712 43604 63424 87208 126848 174416 348832 697664 1395328 2174479 4348958 8697916 17395832 23919269 34791664 47838538 69583328 95677076 139166656 191354152 278333312 382708304 765416608 1530833216 2154908689 3061666432 4309817378 8619634756 17239269512 23703995579 34478539024 47407991158 68957078048 94815982316 137914156096 189631964632 275828312192 379263929264 758527858528 1517055717056 3034111434112