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14212000425 = 35272171092087
BaseRepresentation
bin11010011110001100…
…11110101010101001
31100200110101102111010
431033012132222221
5213101233003200
610310124254133
71012121003400
oct151706365251
940613342433
1014212000425
1160333382a7
1229076a1349
13145650840c
1498b700637
15582a5d150
hex34f19eaa9

14212000425 has 144 divisors (see below), whose sum is σ = 29220808320. Its totient is φ = 6055741440.

The previous prime is 14212000423. The next prime is 14212000457. The reversal of 14212000425 is 52400021241.

It is not a de Polignac number, because 14212000425 - 21 = 14212000423 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (14212000421) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6808732 + ... + 6810818.

It is an arithmetic number, because the mean of its divisors is an integer number (202922280).

Almost surely, 214212000425 is an apocalyptic number.

14212000425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14212000425 is an abundant number, since it is smaller than the sum of its proper divisors (15008807895).

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

14212000425 is a wasteful number, since it uses less digits than its factorization.

14212000425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 14212000425 its reverse (52400021241), we get a palindrome (66612021666).

The spelling of 14212000425 in words is "fourteen billion, two hundred twelve million, four hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 109 119 147 175 245 255 327 357 425 525 545 595 735 763 833 1225 1275 1635 1785 1853 2087 2289 2499 2725 2975 3675 3815 4165 5341 5559 6261 8175 8925 9265 10435 11445 12495 12971 14609 16023 19075 20825 26705 27795 31305 35479 38913 43827 46325 52175 57225 62475 64855 73045 80115 90797 102263 106437 133525 138975 156525 177395 194565 219135 227483 248353 272391 306789 324275 365225 400575 453985 511315 532185 682449 745059 886975 972825 1095675 1137415 1241765 1361955 1533945 1592381 1738471 2269925 2556575 2660925 3412245 3725295 3867211 4777143 5215413 5687075 6208825 6809775 7669725 7961905 8692355 11146667 11601633 17061225 18626475 19336055 23885715 26077065 27070477 33440001 39809525 43461775 55733335 58008165 81211431 96680275 119428575 130385325 135352385 167200005 189493339 278666675 290040825 406057155 568480017 676761925 836000025 947466695 2030285775 2842400085 4737333475 14212000425