Search a number
-
+
420232421253320 = 235132611019091137
BaseRepresentation
bin101111110001100101111110…
…0001100010010000011001000
32001002220211022222022121210222
41133203023330030102003020
5420040041444320101240
64045432035331125212
7154341535102012544
oct13743137414220310
92032824288277728
10420232421253320
111119986293a7365
123b16ba37743808
1315063993a33400
1475ab5017c4a24
15338b3228d5eb5
hex17e32fc3120c8

420232421253320 has 96 divisors (see below), whose sum is σ = 1040634724657320. Its totient is φ = 152619088527360.

The previous prime is 420232421253311. The next prime is 420232421253353. The reversal of 420232421253320 is 23352124232024.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 191603566304836 + 228628854948484 = 13842094^2 + 15120478^2 .

It is a super-2 number, since 2×4202324212533202 (a number of 30 digits) contains 22 as substring.

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, 509133209 + ... + 509957928.

Almost surely, 2420232421253320 is an apocalyptic number.

420232421253320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420232421253320 is an abundant number, since it is smaller than the sum of its proper divisors (620402303404000).

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

420232421253320 is a wasteful number, since it uses less digits than its factorization.

420232421253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019091235 (or 1019091218 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 420232421253320 its reverse (23352124232024), we get a palindrome (443584545485344).

The spelling of 420232421253320 in words is "four hundred twenty trillion, two hundred thirty-two billion, four hundred twenty-one million, two hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 169 244 260 305 338 488 520 610 676 793 845 1220 1352 1586 1690 2440 3172 3380 3965 6344 6760 7930 10309 15860 20618 31720 41236 51545 82472 103090 206180 412360 1019091137 2038182274 4076364548 5095455685 8152729096 10190911370 13248184781 20381822740 26496369562 40763645480 52992739124 62164559357 66240923905 105985478248 124329118714 132481847810 172226402153 248658237428 264963695620 310822796785 344452804306 497316474856 529927391240 621645593570 688905608612 808139271641 861132010765 1243291187140 1377811217224 1616278543282 1722264021530 2486582374280 3232557086564 3444528043060 4040696358205 6465114173128 6889056086120 8081392716410 10505810531333 16162785432820 21011621062666 32325570865640 42023242125332 52529052656665 84046484250664 105058105313330 210116210626660 420232421253320