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424200402020016 = 243218732903541781
BaseRepresentation
bin110000001110011101101101…
…0010001101010011010110000
32001121222011101101011202000100
41200130323122101222122300
5421100044410404120031
64102110550245552400
7155231316261021366
oct14034733221523260
92047864341152010
10424200402020016
11113188420071046
123b6b0a68415700
1315290c0701723b
1476a75a2455636
15340965c855de6
hex181ceda46a6b0

424200402020016 has 120 divisors (see below), whose sum is σ = 1188217150994016. Its totient is φ = 141275697039360.

The previous prime is 424200402019991. The next prime is 424200402020051. The reversal of 424200402020016 is 610020204002424.

424200402020016 is a `hidden beast` number, since 4 + 2 + 42 + 0 + 0 + 402 + 0 + 200 + 16 = 666.

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 23 ways as a sum of consecutive naturals, for example, 782703046 + ... + 783244826.

Almost surely, 2424200402020016 is an apocalyptic number.

It is an amenable number.

424200402020016 is an abundant number, since it is smaller than the sum of its proper divisors (764016748974000).

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

424200402020016 is a wasteful number, since it uses less digits than its factorization.

424200402020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546571 (or 546562 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 424200402020016 in words is "four hundred twenty-four trillion, two hundred billion, four hundred two million, twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1873 2903 3746 5619 5806 7492 8709 11238 11612 14984 16857 17418 22476 23224 26127 29968 33714 34836 44952 46448 52254 67428 69672 89904 104508 134856 139344 209016 269712 418032 541781 1083562 1625343 2167124 3250686 4334248 4876029 5437319 6501372 8668496 9752058 10874638 13002744 16311957 19504116 21749276 26005488 32623914 39008232 43498552 48935871 65247828 78016464 86997104 97871742 130495656 195743484 260991312 391486968 782973936 1014755813 1572790243 2029511626 3044267439 3145580486 4059023252 4718370729 6088534878 6291160972 8118046504 9132802317 9436741458 12177069756 12582321944 14155112187 16236093008 18265604634 18873482916 24354139512 25164643888 28310224374 36531209268 37746965832 48708279024 56620448748 73062418536 75493931664 113240897496 146124837072 226481794992 2945836125139 5891672250278 8837508375417 11783344500556 17675016750834 23566689001112 26512525126251 35350033501668 47133378002224 53025050252502 70700067003336 106050100505004 141400134006672 212100201010008 424200402020016