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23414380245 = 32517411375449
BaseRepresentation
bin10101110011100110…
…110001011011010101
32020102210021202102100
4111303212301123111
5340423040131440
614431215232313
71456141643154
oct256346613325
966383252370
1023414380245
119a25897483
124655518699
132291b96c89
1411c195759b
159208b4230
hex5739b16d5

23414380245 has 96 divisors (see below), whose sum is σ = 44349832800. Its totient is φ = 11380654080.

The previous prime is 23414380229. The next prime is 23414380307. The reversal of 23414380245 is 54208341432.

23414380245 is a `hidden beast` number, since 2 + 34 + 1 + 4 + 380 + 245 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 11654929764 + 11759450481 = 107958^2 + 108441^2 .

It is not a de Polignac number, because 23414380245 - 24 = 23414380229 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4294281 + ... + 4299729.

It is an arithmetic number, because the mean of its divisors is an integer number (461977425).

Almost surely, 223414380245 is an apocalyptic number.

It is an amenable number.

23414380245 is a deficient number, since it is larger than the sum of its proper divisors (20935452555).

23414380245 is a wasteful number, since it uses less digits than its factorization.

23414380245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5655 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23414380245 in words is "twenty-three billion, four hundred fourteen million, three hundred eighty thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 41 45 51 85 123 137 153 205 255 369 411 615 685 697 765 1233 1845 2055 2091 2329 3485 5449 5617 6165 6273 6987 10455 11645 16347 16851 20961 27245 28085 31365 34935 49041 50553 81735 84255 92633 95489 104805 223409 245205 252765 277899 286467 463165 477445 670227 746513 833697 859401 1117045 1389495 1432335 2010681 2239539 3351135 3732565 3797953 4168485 4297005 6718617 10053405 11197695 11393859 12690721 18989765 30607033 33593085 34181577 38072163 56969295 63453605 91821099 114216489 153035165 170907885 190360815 275463297 459105495 520319561 571082445 1377316485 1560958683 2601597805 4682876049 7804793415 23414380245