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2341540749344 = 254112771397581
BaseRepresentation
bin100010000100101110101…
…101000110000000100000
322021211221000000120222012
4202010232231012000200
5301330433412434334
64551404452332052
7331112363654666
oct42045655060040
98254830016865
102341540749344
11823050788995
12319981314028
1313ca63704424
148148ca6cc36
1540d9756b9ce
hex2212eb46020

2341540749344 has 48 divisors (see below), whose sum is σ = 4726046520216. Its totient is φ = 1141319731200.

The previous prime is 2341540749343. The next prime is 2341540749407. The reversal of 2341540749344 is 4439470451432.

It can be written as a sum of positive squares in 4 ways, for example, as 2038578572944 + 302962176400 = 1427788^2 + 550420^2 .

It is a super-2 number, since 2×23415407493442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2341540749292 and 2341540749301.

It is not an unprimeable number, because it can be changed into a prime (2341540749343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976634 + ... + 2374214.

Almost surely, 22341540749344 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 2341540749344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363023260108).

2341540749344 is an abundant number, since it is smaller than the sum of its proper divisors (2384505770872).

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

2341540749344 is a wasteful number, since it uses less digits than its factorization.

2341540749344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398909 (or 1398901 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 50.

The spelling of 2341540749344 in words is "two trillion, three hundred forty-one billion, five hundred forty million, seven hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1277 1312 2554 5108 10216 20432 40864 52357 104714 209428 418856 837712 1397581 1675424 2795162 5590324 11180648 22361296 44722592 57300821 114601642 229203284 458406568 916813136 1784710937 1833626272 3569421874 7138843748 14277687496 28555374992 57110749984 73173148417 146346296834 292692593668 585385187336 1170770374672 2341540749344