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4344030120105 = 3251323833116111
BaseRepresentation
bin111111001101101100010…
…111110100100010101001
3120101021200221001120122100
4333031230113310202221
51032133033202320410
613123341521244013
7625563054531534
oct77155427644251
916337627046570
104344030120105
111425324832885
125a1a9aa93609
13256842915b40
14110375da3a1b
1577ee8d758c0
hex3f36c5f48a9

4344030120105 has 48 divisors (see below), whose sum is σ = 8112261620736. Its totient is φ = 2137701317760.

The previous prime is 4344030120097. The next prime is 4344030120113. The reversal of 4344030120105 is 5010210304434.

It is a happy number.

4344030120105 is a `hidden beast` number, since 4 + 34 + 403 + 0 + 120 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (4344030120097) and next prime (4344030120113).

It is not a de Polignac number, because 4344030120105 - 23 = 4344030120097 is a prime.

It is a super-3 number, since 3×43440301201053 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164001 + ... + 2952110.

It is an arithmetic number, because the mean of its divisors is an integer number (169005450432).

Almost surely, 24344030120105 is an apocalyptic number.

4344030120105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4344030120105 is a deficient number, since it is larger than the sum of its proper divisors (3768231500631).

4344030120105 is a wasteful number, since it uses less digits than its factorization.

4344030120105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118518 (or 3118515 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 4344030120105 its reverse (5010210304434), we get a palindrome (9354240424539).

The spelling of 4344030120105 in words is "four trillion, three hundred forty-four billion, thirty million, one hundred twenty thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 2383 7149 11915 21447 30979 35745 92937 107235 154895 278811 464685 1394055 3116111 9348333 15580555 28044999 40509443 46741665 121528329 140224995 202547215 364584987 607641645 1822924935 7425692513 22277077539 37128462565 66831232617 96534002669 111385387695 289602008007 334156163085 482670013345 868806024021 1448010040035 4344030120105