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331214004300320 = 25529193336928261
BaseRepresentation
bin100101101001111001100010…
…1000100100010101000100000
31121102201202020102220121211022
41023103303011010202220200
5321403102240100102240
63132233340224505012
7126523264535361251
oct11323630504425040
91542652212817738
10331214004300320
1196598085772789
12311935aba7b168
13112a74675b50ab
145bb0bb41c2b28
152845982a059b5
hex12d3cc5122a20

331214004300320 has 96 divisors (see below), whose sum is σ = 809894393748720. Its totient is φ = 127850953789440.

The previous prime is 331214004300301. The next prime is 331214004300343. The reversal of 331214004300320 is 23003400412133.

It can be written as a sum of positive squares in 8 ways, for example, as 117741683581456 + 213472320718864 = 10850884^2 + 14610692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331214004300320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9495011 + ... + 27433250.

Almost surely, 2331214004300320 is an apocalyptic number.

It is an amenable number.

331214004300320 is an abundant number, since it is smaller than the sum of its proper divisors (478680389448400).

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

331214004300320 is a wasteful number, since it uses less digits than its factorization.

331214004300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36930238 (or 36930230 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 331214004300320 its reverse (23003400412133), we get a palindrome (354217404712453).

The spelling of 331214004300320 in words is "three hundred thirty-one trillion, two hundred fourteen billion, four million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 1933 2320 3866 4640 7732 9665 15464 19330 30928 38660 56057 61856 77320 112114 154640 224228 280285 309280 448456 560570 896912 1121140 1793824 2242280 4484560 8969120 36928261 73856522 147713044 184641305 295426088 369282610 590852176 738565220 1070919569 1181704352 1477130440 2141839138 2954260880 4283678276 5354597845 5908521760 8567356552 10709195690 17134713104 21418391380 34269426208 42836782760 71382328513 85673565520 142764657026 171347131040 285529314052 356911642565 571058628104 713823285130 1142117256208 1427646570260 2070087526877 2284234512416 2855293140520 4140175053754 5710586281040 8280350107508 10350437634385 11421172562080 16560700215016 20700875268770 33121400430032 41401750537540 66242800860064 82803501075080 165607002150160 331214004300320