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2134340224410 = 23537263227799
BaseRepresentation
bin11111000011110000100…
…101110100010110011010
321120001002211200100012010
4133003300211310112122
5234432112044140120
64312300302130350
7310125640366632
oct37036045642632
97501084610163
102134340224410
11753194461839
122a57962809b6
131263626a0114
14754345536c2
153a7bbdbd7e0
hex1f0f097459a

2134340224410 has 96 divisors (see below), whose sum is σ = 5281129526400. Its totient is φ = 551649308544.

The previous prime is 2134340224409. The next prime is 2134340224411. The reversal of 2134340224410 is 144220434312.

It is an interprime number because it is at equal distance from previous prime (2134340224409) and next prime (2134340224411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2134340224411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76763691 + ... + 76791489.

It is an arithmetic number, because the mean of its divisors is an integer number (55011765900).

Almost surely, 22134340224410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134340224410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640564763200).

2134340224410 is an abundant number, since it is smaller than the sum of its proper divisors (3146789301990).

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

2134340224410 is a wasteful number, since it uses less digits than its factorization.

2134340224410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28372 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2134340224410 its reverse (144220434312), we get a palindrome (2278560658722).

The spelling of 2134340224410 in words is "two trillion, one hundred thirty-four billion, three hundred forty million, two hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 263 370 526 555 789 1110 1315 1578 2630 3945 7890 9731 19462 27799 29193 48655 55598 58386 69169 83397 97310 138338 138995 145965 166794 207507 277990 291930 345845 415014 416985 691690 833970 1028563 1037535 2057126 2075070 2559253 3085689 5118506 5142815 6171378 7311137 7677759 10285630 12796265 14622274 15355518 15428445 21933411 25592530 30856890 36555685 38388795 43866822 73111370 76777590 109667055 219334110 270512069 541024138 811536207 1352560345 1623072414 1922829031 2705120690 3845658062 4057681035 5768487093 8115362070 9614145155 11536974186 19228290310 28842435465 57684870930 71144674147 142289348294 213434022441 355723370735 426868044882 711446741470 1067170112205 2134340224410