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24144132100230 = 23255934913028417
BaseRepresentation
bin1010111110101011111100…
…11010101101000010000110
310011111011020002010112020100
411133111332122231002012
511131034140304201410
6123203354451144530
75041233046456542
oct537257632550206
9104434202115210
1024144132100230
11776951815290a
12285b364ba5146
131061a21a6557c
145d68218c8a22
152bd09e6cd8c0
hex15f57e6ad086

24144132100230 has 96 divisors (see below), whose sum is σ = 64021646052000. Its totient is φ = 6311173165056.

The previous prime is 24144132100111. The next prime is 24144132100247. The reversal of 24144132100230 is 3200123144142.

24144132100230 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 413 + 2 + 10 + 0 + 230 = 666.

It is a super-2 number, since 2×241441321002302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24144132100194 and 24144132100203.

It is a congruent number.

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, 4661019 + ... + 8367398.

It is an arithmetic number, because the mean of its divisors is an integer number (666892146375).

Almost surely, 224144132100230 is an apocalyptic number.

24144132100230 is an abundant number, since it is smaller than the sum of its proper divisors (39877513951770).

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

24144132100230 is a wasteful number, since it uses less digits than its factorization.

24144132100230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028838 (or 13028835 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 24144132100230 its reverse (3200123144142), we get a palindrome (27344255244372).

The spelling of 24144132100230 in words is "twenty-four trillion, one hundred forty-four billion, one hundred thirty-two million, one hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 349 354 531 590 698 885 1047 1062 1745 1770 2094 2655 3141 3490 5235 5310 6282 10470 15705 20591 31410 41182 61773 102955 123546 185319 205910 308865 370638 617730 926595 1853190 13028417 26056834 39085251 65142085 78170502 117255753 130284170 195426255 234511506 390852510 586278765 768676603 1172557530 1537353206 2306029809 3843383015 4546917533 4612059618 6918089427 7686766030 9093835066 11530149045 13640752599 13836178854 22734587665 23060298090 27281505198 34590447135 40922257797 45469175330 68203762995 69180894270 81844515594 136407525990 204611288985 268268134447 409222577970 536536268894 804804403341 1341340672235 1609608806682 2414413210023 2682681344470 4024022016705 4828826420046 8048044033410 12072066050115 24144132100230