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12344010420 = 22357217246979
BaseRepresentation
bin10110111111100001…
…01010011010110100
31011212021102200221010
423133300222122310
5200240031313140
65400514552220
7614616233400
oct133760523264
934767380833
1012344010420
115264965805
122485b98670
1312195016a1
148515aa100
154c3a74880
hex2dfc2a6b4

12344010420 has 144 divisors (see below), whose sum is σ = 42571448640. Its totient is φ = 2655507456.

The previous prime is 12344010391. The next prime is 12344010439. The reversal of 12344010420 is 2401044321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 73510 + ... + 173469.

It is an arithmetic number, because the mean of its divisors is an integer number (295635060).

Almost surely, 212344010420 is an apocalyptic number.

12344010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344010420 is an abundant number, since it is smaller than the sum of its proper divisors (30227438220).

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

12344010420 is a wasteful number, since it uses less digits than its factorization.

12344010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247022 (or 247013 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12344010420 its reverse (2401044321), we get a palindrome (14745054741).

The spelling of 12344010420 in words is "twelve billion, three hundred forty-four million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 9996 12495 16660 24990 49980 246979 493958 740937 987916 1234895 1481874 1728853 2469790 2963748 3457706 3704685 4198643 4939580 5186559 6915412 7409370 8397286 8644265 10373118 12101971 12595929 14818740 16794572 17288530 20746236 20993215 24203942 25191858 25932795 29390501 34577060 36305913 41986430 48407884 50383716 51865590 58781002 60509855 62979645 72611826 83972860 88171503 103731180 117562004 121019710 125959290 145223652 146952505 176343006 181529565 205733507 242039420 251918580 293905010 352686012 363059130 411467014 440857515 587810020 617200521 726118260 822934028 881715030 1028667535 1234401042 1763430060 2057335070 2468802084 3086002605 4114670140 6172005210 12344010420