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23314123413 = 32721947531117
BaseRepresentation
bin10101101101101000…
…010100101010010101
32020011210122011220100
4111231220110222111
5340221403422123
614413234324313
71453513531200
oct255550245225
966153564810
1023314123413
11998423aa99
124627a29699
1322771935c9
1411b24da937
15916bad643
hex56da14a95

23314123413 has 144 divisors (see below), whose sum is σ = 42946225920. Its totient is φ = 12108724992.

The previous prime is 23314123403. The next prime is 23314123429. The reversal of 23314123413 is 31432141332.

It is a happy number.

23314123413 is a `hidden beast` number, since 2 + 3 + 314 + 1 + 2 + 341 + 3 = 666.

It is not a de Polignac number, because 23314123413 - 210 = 23314122389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23314123403) 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, 20871531 + ... + 20872647.

It is an arithmetic number, because the mean of its divisors is an integer number (298237680).

Almost surely, 223314123413 is an apocalyptic number.

It is an amenable number.

23314123413 is a deficient number, since it is larger than the sum of its proper divisors (19632102507).

23314123413 is a wasteful number, since it uses less digits than its factorization.

23314123413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1246 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 23314123413 its reverse (31432141332), we get a palindrome (54746264745).

The spelling of 23314123413 in words is "twenty-three billion, three hundred fourteen million, one hundred twenty-three thousand, four hundred thirteen".

Divisors: 1 3 7 9 19 21 47 49 53 57 63 133 141 147 159 171 329 371 399 423 441 477 893 931 987 1007 1113 1117 1197 2303 2491 2597 2679 2793 2961 3021 3339 3351 6251 6909 7049 7473 7791 7819 8037 8379 9063 10053 17437 18753 20727 21147 21223 22419 23373 23457 43757 47329 49343 52311 52499 54733 56259 59201 63441 63669 70371 122059 131271 141987 148029 148561 156933 157497 164199 177603 191007 331303 366177 367493 393813 414407 425961 444087 445683 472491 492597 532809 993909 997481 1039927 1098531 1102479 1124819 1243221 1337049 2319121 2572451 2782447 2900849 2981727 2992443 3119781 3307437 3374457 3729663 6957363 6982367 7717353 7873733 8347341 8702547 8977329 9359343 10123371 19477129 20872089 20947101 23152059 23621199 25042023 26107641 48876569 52866493 55116131 58431387 62841303 70863597 136339903 146629707 158599479 165348393 175294161 370065451 409019709 439889121 475798437 496045179 1110196353 1227059127 2590458157 3330589059 7771374471 23314123413