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2012404342340 = 225717412503003
BaseRepresentation
bin11101010010001100101…
…001010101111001000100
321010101100220210201201202
4131102030221111321010
5230432401002423330
64140252533042032
7265251153450320
oct35221451257104
97111326721652
102012404342340
11706501873887
12286026186318
131179cc3cab02
146d588082980
1537531ebd445
hex1d48ca55e44

2012404342340 has 144 divisors (see below), whose sum is σ = 5241655794816. Its totient is φ = 633541079040.

The previous prime is 2012404342327. The next prime is 2012404342451. The reversal of 2012404342340 is 432434042102.

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 47 ways as a sum of consecutive naturals, for example, 3749279 + ... + 4252281.

It is an arithmetic number, because the mean of its divisors is an integer number (36400387464).

Almost surely, 22012404342340 is an apocalyptic number.

2012404342340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012404342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620827897408).

2012404342340 is an abundant number, since it is smaller than the sum of its proper divisors (3229251452476).

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

2012404342340 is a wasteful number, since it uses less digits than its factorization.

2012404342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503118 (or 503075 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2012404342340 its reverse (432434042102), we get a palindrome (2444838384442).

The spelling of 2012404342340 in words is "two trillion, twelve billion, four hundred four million, three hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 41 68 70 82 85 119 140 164 170 205 238 287 340 410 476 574 595 697 820 1148 1190 1394 1435 1681 2380 2788 2870 3362 3485 4879 5740 6724 6970 8405 9758 11767 13940 16810 19516 23534 24395 28577 33620 47068 48790 57154 58835 97580 114308 117670 142885 200039 235340 285770 400078 503003 571540 800156 1000195 1006006 2000390 2012012 2515015 3521021 4000780 5030030 7042042 8551051 10060060 14084084 17102102 17605105 20623123 34204204 35210210 41246246 42755255 59857357 70420420 82492492 85510510 103115615 119714714 144361861 171021020 206231230 239429428 288723722 299286785 350593091 412462460 577447444 598573570 701186182 721809305 845548043 1197147140 1402372364 1443618610 1691096086 1752965455 2454151637 2887237220 3382192172 3505930910 4227740215 4908303274 5918836301 7011861820 8455480430 9816606548 11837672602 12270758185 14374316731 16910960860 23675345204 24541516370 28748633462 29594181505 49083032740 57497266924 59188363010 71871583655 100620217117 118376726020 143743167310 201240434234 287486334620 402480868468 503101085585 1006202171170 2012404342340