Search a number
-
+
12354433462420 = 2257293752981083
BaseRepresentation
bin1011001111000111110110…
…0111100011000010010100
31121202001221201011112021021
42303301331213203002110
53104403334431244140
642135314241130524
72413402243515130
oct263617547430224
947661851145237
1012354433462420
113a33538679085
121476456929a44
136b803093914a
14309d5a19a3c0
151665792bcb4a
hexb3c7d9e3094

12354433462420 has 96 divisors (see below), whose sum is σ = 30674271801600. Its totient is φ = 4089584077824.

The previous prime is 12354433462403. The next prime is 12354433462433. The reversal of 12354433462420 is 2426433445321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152327199 + ... + 152408281.

It is an arithmetic number, because the mean of its divisors is an integer number (319523664600).

Almost surely, 212354433462420 is an apocalyptic number.

12354433462420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12354433462420 is an abundant number, since it is smaller than the sum of its proper divisors (18319838339180).

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

12354433462420 is a wasteful number, since it uses less digits than its factorization.

12354433462420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118657 (or 118655 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 43.

The spelling of 12354433462420 in words is "twelve trillion, three hundred fifty-four billion, four hundred thirty-three million, four hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 37529 75058 81083 150116 162166 187645 262703 324332 375290 405415 525406 567581 750580 810830 1050812 1088341 1135162 1313515 1621660 2176682 2270324 2351407 2627030 2837905 4353364 4702814 5254060 5441705 5675810 7618387 9405628 10883410 11351620 11757035 15236774 16459849 21766820 23514070 30473548 32919698 38091935 47028140 65839396 76183870 82299245 152367740 164598490 329196980 3042963907 6085927814 12171855628 15214819535 21300747349 30429639070 42601494698 60859278140 85202989396 88245953303 106503736745 176491906606 213007473490 352983813212 426014946980 441229766515 617721673121 882459533030 1235443346242 1764919066060 2470886692484 3088608365605 6177216731210 12354433462420