Search a number
-
+
2354493141 = 32711213231033
BaseRepresentation
bin1000110001010110…
…1011011011010101
320002002101122101200
42030111223123111
514310222240031
61025344543113
7112226601330
oct21425533325
96062348350
102354493141
11aa9060600
12558621a99
132b6a44710
141849b5617
15dba878e6
hex8c56b6d5

2354493141 has 144 divisors (see below), whose sum is σ = 4805568768. Its totient is φ = 1078894080.

The previous prime is 2354493107. The next prime is 2354493173. The reversal of 2354493141 is 1413944532.

2354493141 is a `hidden beast` number, since 23 + 5 + 4 + 493 + 141 = 666.

It is not a de Polignac number, because 2354493141 - 217 = 2354362069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2354493096 and 2354493105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2354493241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2278761 + ... + 2279793.

Almost surely, 22354493141 is an apocalyptic number.

2354493141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2354493141 is an abundant number, since it is smaller than the sum of its proper divisors (2451075627).

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

2354493141 is a wasteful number, since it uses less digits than its factorization.

2354493141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2354493141 is about 48523.1196544493. The cubic root of 2354493141 is about 1330.3496811714.

The spelling of 2354493141 in words is "two billion, three hundred fifty-four million, four hundred ninety-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 13 21 23 33 39 63 69 77 91 99 117 121 143 161 207 231 253 273 299 363 429 483 693 759 819 847 897 1001 1033 1089 1287 1449 1573 1771 2093 2277 2541 2691 2783 3003 3099 3289 4719 5313 6279 7231 7623 8349 9009 9297 9867 11011 11363 13429 14157 15939 18837 19481 21693 23023 23759 25047 29601 33033 34089 36179 40287 58443 65079 69069 71277 79541 94003 99099 102267 108537 120861 124993 147719 166313 175329 207207 213831 238623 253253 261349 282009 308867 325611 374979 443157 498939 715869 759759 784047 846027 874951 926601 1034033 1124937 1329471 1496817 1624909 1829443 2162069 2279277 2352141 2624853 2779803 2874839 3102099 3397537 4874727 5488329 6486207 7874559 8624517 9306297 10192611 11374363 14624181 16464987 19458621 20123873 23782759 25873551 30577833 34123089 37372907 60371619 71348277 102369267 112118721 181114857 214044831 261610349 336356163 784831047 2354493141