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320493992303716 = 2274112166072
BaseRepresentation
bin100100011011111001101001…
…0100100000101110001100100
31120000202221000101002012202121
41020313303102210011301210
5314001433144012204331
63053344524003515324
7124335632621020000
oct11067632244056144
91500687011065677
10320493992303716
1193134814437900
122bb41a71688b44
13109aa5b8ca473a
14591ddc6063700
15270bbb6bbec11
hex1237cd2905c64

320493992303716 has 135 divisors (see below), whose sum is σ = 719235828019667. Its totient is φ = 124860270223920.

The previous prime is 320493992303699. The next prime is 320493992303831. The reversal of 320493992303716 is 617303299394023.

The square root of 320493992303716 is 17902346.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19298720685 + ... + 19298737291.

Almost surely, 2320493992303716 is an apocalyptic number.

320493992303716 is the 17902346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320493992303716

320493992303716 is an abundant number, since it is smaller than the sum of its proper divisors (398741835715951).

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

320493992303716 is an frugal number, since it uses more digits than its factorization.

320493992303716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33268 (or 16627 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 61.

The spelling of 320493992303716 in words is "three hundred twenty trillion, four hundred ninety-three billion, nine hundred ninety-two million, three hundred three thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 343 484 539 686 847 1078 1372 1694 2156 2401 3388 3773 4802 5929 7546 9604 11858 15092 16607 23716 26411 33214 41503 52822 66428 83006 105644 116249 166012 182677 232498 290521 365354 464996 581042 730708 813743 1162084 1278739 1627486 2009447 2557478 3254972 4018894 5114956 5696201 8037788 8951173 11392402 14066129 17902346 22784804 28132258 35804692 39873407 56264516 62658211 79746814 98462903 125316422 159493628 196925806 250632844 275792449 393851612 438607477 551584898 689240321 877214954 1103169796 1378480642 1754429908 1930547143 2756961284 3033716939 3861094286 4824682247 6067433878 7722188572 9649364494 12134867756 13513830001 19298728988 21236018573 27027660002 33370886329 42472037146 54055320004 66741772658 84944074292 94596810007 133483545316 148652130011 189193620014 233596204303 297304260022 378387240028 467192408606 594608520044 662177670049 934384817212 1040564910077 1324355340098 1635173430121 2081129820154 2648710680196 3270346860242 4162259640308 6540693720484 7283954370539 11446214010847 14567908741078 22892428021694 29135817482156 45784856043388 80123498075929 160246996151858 320493992303716