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420424020401424 = 243137952316307003
BaseRepresentation
bin101111110010111111001100…
…0011001000001110100010000
32001010121010212211220210222120
41133211332120121001310100
5420101211343210321144
64050100043441534240
7154361430103626144
oct13745763031016420
92033533784823876
10420424020401424
11111a6190a0a3156
123b1a0ba9944380
1315078a797601b0
1475b68b9c95224
1533912d857de19
hex17e5f98641d10

420424020401424 has 160 divisors (see below), whose sum is σ = 1186711558932480. Its totient is φ = 127479531538944.

The previous prime is 420424020401377. The next prime is 420424020401477. The reversal of 420424020401424 is 424104020424024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17628307 + ... + 33935309.

It is an arithmetic number, because the mean of its divisors is an integer number (7416947243328).

Almost surely, 2420424020401424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420424020401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593355779466240).

420424020401424 is an abundant number, since it is smaller than the sum of its proper divisors (766287538531056).

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

420424020401424 is a wasteful number, since it uses less digits than its factorization.

420424020401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16307629 (or 16307623 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 420424020401424 its reverse (424104020424024), we get a palindrome (844528040825448).

The spelling of 420424020401424 in words is "four hundred twenty trillion, four hundred twenty-four billion, twenty million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 523 624 632 948 1027 1046 1264 1569 1896 2054 2092 3081 3138 3792 4108 4184 6162 6276 6799 8216 8368 12324 12552 13598 16432 20397 24648 25104 27196 40794 41317 49296 54392 81588 82634 108784 123951 163176 165268 247902 326352 330536 495804 537121 661072 991608 1074242 1611363 1983216 2148484 3222726 4296968 6445452 8593936 12890904 16307003 25781808 32614006 48921009 65228012 97842018 130456024 195684036 211991039 260912048 391368072 423982078 635973117 782736144 847964156 1271946234 1288253237 1695928312 2543892468 2576506474 3391856624 3864759711 5087784936 5153012948 7729519422 8528562569 10175569872 10306025896 15459038844 16747292081 17057125138 20612051792 25585687707 30918077688 33494584162 34114250276 50241876243 51171375414 61836155376 66989168324 68228500552 100483752486 102342750828 110871313397 133978336648 136457001104 200967504972 204685501656 221742626794 267956673296 332613940191 401935009944 409371003312 443485253588 665227880382 673756442951 803870019888 886970507176 1330455760764 1347512885902 1773941014352 2021269328853 2660911521528 2695025771804 4042538657706 5321823043056 5390051543608 8085077315412 8758833758363 10780103087216 16170154630824 17517667516726 26276501275089 32340309261648 35035335033452 52553002550178 70070670066904 105106005100356 140141340133808 210212010200712 420424020401424