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1341413140224 = 2834159722047
BaseRepresentation
bin10011100001010010011…
…101000010011100000000
311202020102101110221200110
4103201102131002130000
5133434203230441344
62504123042551320
7165625316363463
oct23412235023400
94666371427613
101341413140224
11477987824413
12197b84668540
1399657b79441
1448cd36c92da
1524d5e9ea3b9
hex13852742700

1341413140224 has 144 divisors (see below), whose sum is σ = 3719182602240. Its totient is φ = 428837560320.

The previous prime is 1341413140213. The next prime is 1341413140241. The reversal of 1341413140224 is 4220413141431.

It is a happy number.

It is a super-3 number, since 3×13414131402243 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1341413140191 and 1341413140200.

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, 1496769 + ... + 2218815.

It is an arithmetic number, because the mean of its divisors is an integer number (25827656960).

Almost surely, 21341413140224 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 1341413140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859591301120).

1341413140224 is an abundant number, since it is smaller than the sum of its proper divisors (2377769462016).

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

1341413140224 is an equidigital number, since it uses as much as digits as its factorization.

1341413140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722166 (or 722152 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1341413140224 its reverse (4220413141431), we get a palindrome (5561826281655).

The spelling of 1341413140224 in words is "one trillion, three hundred forty-one billion, four hundred thirteen million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 64 82 96 118 123 128 164 177 192 236 246 256 328 354 384 472 492 656 708 768 944 984 1312 1416 1888 1968 2419 2624 2832 3776 3936 4838 5248 5664 7257 7552 7872 9676 10496 11328 14514 15104 15744 19352 22656 29028 31488 38704 45312 58056 77408 116112 154816 232224 309632 464448 619264 722047 928896 1444094 1857792 2166141 2888188 4332282 5776376 8664564 11552752 17329128 23105504 29603927 34658256 42600773 46211008 59207854 69316512 85201546 88811781 92422016 118415708 127802319 138633024 170403092 177623562 184844032 236831416 255604638 277266048 340806184 355247124 473662832 511209276 554532096 681612368 710494248 947325664 1022418552 1363224736 1420988496 1746631693 1894651328 2044837104 2726449472 2841976992 3493263386 3789302656 4089674208 5239895079 5452898944 5683953984 6986526772 7578605312 8179348416 10479790158 10905797888 11367907968 13973053544 16358696832 20959580316 22735815936 27946107088 32717393664 41919160632 55892214176 83838321264 111784428352 167676642528 223568856704 335353285056 447137713408 670706570112 1341413140224