Search a number
-
+
242403230433402 = 232175357131261619
BaseRepresentation
bin110111000111011011100110…
…011100010100000001111010
31011210021112002220121022101100
4313013123212130110001322
5223233013303442332102
62215314301242232230
7102026025011122533
oct6707334634240172
91153245086538340
10242403230433402
11702676a615aa75
122322b4534b5676
13a5346aca91b9c
1443c0543bbd68a
151d056e7092a1c
hexdc76e671407a

242403230433402 has 96 divisors (see below), whose sum is σ = 566606093526720. Its totient is φ = 74611611809280.

The previous prime is 242403230433383. The next prime is 242403230433437. The reversal of 242403230433402 is 204334032304242.

242403230433402 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 0 + 3 + 2 + 304 + 3 + 340 + 2 = 666.

It is a super-4 number, since 4×2424032304334024 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926419749 + ... + 926681367.

It is an arithmetic number, because the mean of its divisors is an integer number (5902146807570).

Almost surely, 2242403230433402 is an apocalyptic number.

242403230433402 is an abundant number, since it is smaller than the sum of its proper divisors (324202863093318).

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

242403230433402 is a wasteful number, since it uses less digits than its factorization.

242403230433402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318828 (or 318825 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 242403230433402 its reverse (204334032304242), we get a palindrome (446737262737644).

The spelling of 242403230433402 in words is "two hundred forty-two trillion, four hundred three billion, two hundred thirty million, four hundred thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1802 2703 5406 8109 16218 57131 114262 171393 261619 342786 514179 523238 784857 971227 1028358 1569714 1942454 2354571 2913681 3027943 4447523 4709142 5827362 6055886 8741043 8895046 9083829 13342569 13865807 17482086 18167658 26685138 27251487 27731614 40027707 41597421 51475031 54502974 80055414 83194842 102950062 124792263 154425093 235718719 249584526 308850186 463275279 471437438 707156157 926550558 1414312314 2121468471 4242936942 14946555089 29893110178 44839665267 89679330534 134518995801 254091436513 269037991602 508182873026 762274309539 792167419717 1524548619078 1584334839434 2286822928617 2376502259151 4573645857234 4753004518302 7129506777453 13466846135189 14259013554906 26933692270378 40400538405567 80801076811134 121201615216701 242403230433402