Search a number
-
+
42135668316 = 223576192779
BaseRepresentation
bin100111001111011110…
…110100011001011100
311000202111200201200000
4213033132310121130
51142243212341231
631205025334300
73021106162020
oct471736643134
9130674621600
1042135668316
1116962539285
1281bb197390
133c8667b421
14207a0a0380
1511692476e6
hex9cf7b465c

42135668316 has 72 divisors (see below), whose sum is σ = 126233627520. Its totient is φ = 12038760432.

The previous prime is 42135668303. The next prime is 42135668327. The reversal of 42135668316 is 61386653124.

42135668316 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 566 + 83 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3089586 + ... + 3103193.

Almost surely, 242135668316 is an apocalyptic number.

It is an amenable number.

42135668316 is an abundant number, since it is smaller than the sum of its proper divisors (84097959204).

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

42135668316 is a wasteful number, since it uses less digits than its factorization.

42135668316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192805 (or 6192791 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 42135668316 in words is "forty-two billion, one hundred thirty-five million, six hundred sixty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 6192779 12385558 18578337 24771116 37156674 43349453 55735011 74313348 86698906 111470022 130048359 167205033 173397812 222940044 260096718 334410066 390145077 501615099 520193436 668820132 780290154 1003230198 1170435231 1504845297 1560580308 2006460396 2340870462 3009690594 3511305693 4681740924 6019381188 7022611386 10533917079 14045222772 21067834158 42135668316