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32314215341344 = 2561731187191047
BaseRepresentation
bin1110101100011101111010…
…10100111001110100100000
311020102012122020010210120011
413112032331110321310200
513213414003111410334
6152420540125254304
76543424244256526
oct726167524716440
9136365566123504
1032314215341344
11a329422148522
12375a865404394
1315052a990a1b1
147da032cac316
153b0878433564
hex1d63bd539d20

32314215341344 has 96 divisors (see below), whose sum is σ = 65602878397056. Its totient is φ = 15661248030720.

The previous prime is 32314215341329. The next prime is 32314215341377. The reversal of 32314215341344 is 44314351241323.

It is a junction number, because it is equal to n+sod(n) for n = 32314215341297 and 32314215341306.

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, 169047229 + ... + 169238275.

It is an arithmetic number, because the mean of its divisors is an integer number (683363316636).

Almost surely, 232314215341344 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 32314215341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32801439198528).

32314215341344 is an abundant number, since it is smaller than the sum of its proper divisors (33288663055712).

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

32314215341344 is a wasteful number, since it uses less digits than its factorization.

32314215341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192378 (or 192370 counting only the distinct ones).

The product of its digits is 414720, while the sum is 40.

Adding to 32314215341344 its reverse (44314351241323), we get a palindrome (76628566582667).

The spelling of 32314215341344 in words is "thirty-two trillion, three hundred fourteen billion, two hundred fifteen million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 61 73 122 146 244 292 488 584 976 1168 1187 1952 2336 2374 4453 4748 8906 9496 17812 18992 35624 37984 71248 72407 86651 142496 144814 173302 191047 289628 346604 382094 579256 693208 764188 1158512 1386416 1528376 2317024 2772832 3056752 5285711 6113504 10571422 11653867 13946431 21142844 23307734 27892862 42285688 46615468 55785724 84571376 93230936 111571448 169142752 186461872 223142896 226772789 372923744 446285792 453545578 850732291 907091156 1701464582 1814182312 3402929164 3628364624 6805858328 7256729248 13611716656 13833140129 16554413597 27223433312 27666280258 33108827194 55332560516 66217654388 110665121032 132435308776 221330242064 264870617552 442660484128 529741235104 1009819229417 2019638458834 4039276917668 8078553835336 16157107670672 32314215341344