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3144113433312 = 253472205131601
BaseRepresentation
bin101101110000001011110…
…000111010101011100000
3102010120111200010012220020
4231300023300322223200
5403003121014331222
610404215154313440
7443104030141245
oct55601360725340
912116450105806
103144113433312
111002458080185
12429425288880
1319a64767b5b7
14ac2669655cc
1556bbb64565c
hex2dc0bc3aae0

3144113433312 has 96 divisors (see below), whose sum is σ = 8429548829184. Its totient is φ = 1025660160000.

The previous prime is 3144113433299. The next prime is 3144113433347. The reversal of 3144113433312 is 2133343114413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99478312 + ... + 99509912.

It is an arithmetic number, because the mean of its divisors is an integer number (87807800304).

Almost surely, 23144113433312 is an apocalyptic number.

3144113433312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3144113433312 is an abundant number, since it is smaller than the sum of its proper divisors (5285435395872).

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

3144113433312 is a wasteful number, since it uses less digits than its factorization.

3144113433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53712 (or 53704 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 3144113433312 its reverse (2133343114413), we get a palindrome (5277456547725).

The spelling of 3144113433312 in words is "three trillion, one hundred forty-four billion, one hundred thirteen million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 22051 31601 44102 63202 66153 88204 94803 126404 132306 176408 189606 252808 264612 352816 379212 505616 529224 705632 758424 1011232 1036397 1058448 1485247 1516848 2072794 2116896 2970494 3033696 3109191 4145588 4455741 5940988 6218382 8291176 8911482 11881976 12436764 16582352 17822964 23763952 24873528 33164704 35645928 47527904 49747056 71291856 99494112 142583712 696833651 1393667302 2090500953 2787334604 4181001906 5574669208 8362003812 11149338416 16724007624 22298676832 32751181597 33448015248 65502363194 66896030496 98253544791 131004726388 196507089582 262009452776 393014179164 524018905552 786028358328 1048037811104 1572056716656 3144113433312