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4103144340 = 22352313812153
BaseRepresentation
bin1111010010010001…
…0000001110010100
3101120221210022212220
43310210100032110
531400401104330
61515052342340
7203452102641
oct36444201624
911527708786
104103144340
111816133089
129661749b0
135050c6479
142acd22dc8
1519034b710
hexf4910394

4103144340 has 96 divisors (see below), whose sum is σ = 12002570496. Its totient is φ = 1045355520.

The previous prime is 4103144333. The next prime is 4103144347. The reversal of 4103144340 is 434413014.

It is an interprime number because it is at equal distance from previous prime (4103144333) and next prime (4103144347).

It is a super-4 number, since 4×41031443404 (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4103144340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103144347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904704 + ... + 1906856.

It is an arithmetic number, because the mean of its divisors is an integer number (125026776).

Almost surely, 24103144340 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 4103144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001285248).

4103144340 is an abundant number, since it is smaller than the sum of its proper divisors (7899426156).

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

4103144340 is a wasteful number, since it uses less digits than its factorization.

4103144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4103144340 is about 64055.7908389242. The cubic root of 4103144340 is about 1600.9297122715.

Adding to 4103144340 its reverse (434413014), we get a palindrome (4537557354).

The spelling of 4103144340 in words is "four billion, one hundred three million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1381 2153 2762 4143 4306 5524 6459 6905 8286 8612 10765 12918 13810 16572 20715 21530 25836 27620 31763 32295 41430 43060 49519 63526 64590 82860 95289 99038 127052 129180 148557 158815 190578 198076 247595 297114 317630 381156 476445 495190 594228 635260 742785 952890 990380 1485570 1905780 2971140 2973293 5946586 8919879 11893172 14866465 17839758 29732930 35679516 44599395 59465860 68385739 89198790 136771478 178397580 205157217 273542956 341928695 410314434 683857390 820628868 1025786085 1367714780 2051572170 4103144340