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320242402334240 = 25511345737387269
BaseRepresentation
bin100100011010000100011111…
…0101000100001011000100000
31112222212212121122011112112222
41020310020332220201120200
5313433322414444143430
63053033154553410212
7124311515160404501
oct11064107650413040
91488785548145488
10320242402334240
1193048049462aa1
122bb01158709968
131098c9626b2509
145911b5a40cba8
15270538e4d89e5
hex123423ea21620

320242402334240 has 96 divisors (see below), whose sum is σ = 763286668063920. Its totient is φ = 126960255729664.

The previous prime is 320242402334227. The next prime is 320242402334243. The reversal of 320242402334240 is 42433204242023.

It can be written as a sum of positive squares in 8 ways, for example, as 19062899067664 + 301179503266576 = 4366108^2 + 17354524^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 320242402334240.

It is not an unprimeable number, because it can be changed into a prime (320242402334243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826731326 + ... + 827118594.

Almost surely, 2320242402334240 is an apocalyptic number.

It is an amenable number.

320242402334240 is an abundant number, since it is smaller than the sum of its proper divisors (443044265729680).

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

320242402334240 is a wasteful number, since it uses less digits than its factorization.

320242402334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433134 (or 433126 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 320242402334240 its reverse (42433204242023), we get a palindrome (362675606576263).

The spelling of 320242402334240 in words is "three hundred twenty trillion, two hundred forty-two billion, four hundred two million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 45737 91474 182948 228685 365896 387269 457370 731792 774538 914740 1463584 1549076 1829480 1936345 3098152 3658960 3872690 5168281 6196304 7317920 7745380 10336562 12392608 15490760 20673124 25841405 30981520 41346248 43761397 51682810 61963040 82692496 87522794 103365620 165384992 175045588 206731240 218806985 350091176 413462480 437613970 700182352 826924960 875227940 1400364704 1750455880 3500911760 7001823520 17712522253 35425044506 70850089012 88562611265 141700178024 177125222530 283400356048 354250445060 566800712096 708500890120 1417001780240 2001515014589 2834003560480 4003030029178 8006060058356 10007575072945 16012120116712 20015150145890 32024240233424 40030300291780 64048480466848 80060600583560 160121201167120 320242402334240