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23011440240 = 24354116314347
BaseRepresentation
bin10101011011100101…
…101011011001110000
32012101201002021122110
4111123211223121300
5334111412041430
614323223005320
71443150005025
oct253345533160
965351067573
1023011440240
1198393a3708
124562599840
132229566439
14118422954c
158ea31e7b0
hex55b96b670

23011440240 has 160 divisors (see below), whose sum is σ = 73528793856. Its totient is φ = 5949573120.

The previous prime is 23011440211. The next prime is 23011440247. The reversal of 23011440240 is 4204411032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23011440247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596747 + ... + 1611093.

Almost surely, 223011440240 is an apocalyptic number.

23011440240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23011440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36764396928).

23011440240 is an abundant number, since it is smaller than the sum of its proper divisors (50517353616).

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

23011440240 is a wasteful number, since it uses less digits than its factorization.

23011440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567 (or 14561 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23011440240 its reverse (4204411032), we get a palindrome (27215851272).

The spelling of 23011440240 in words is "twenty-three billion, eleven million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 163 164 205 240 246 326 328 410 489 492 615 652 656 815 820 978 984 1230 1304 1630 1640 1956 1968 2445 2460 2608 3260 3280 3912 4890 4920 6520 6683 7824 9780 9840 13040 13366 14347 19560 20049 26732 28694 33415 39120 40098 43041 53464 57388 66830 71735 80196 86082 100245 106928 114776 133660 143470 160392 172164 200490 215205 229552 267320 286940 320784 344328 400980 430410 534640 573880 588227 688656 801960 860820 1147760 1176454 1603920 1721640 1764681 2338561 2352908 2941135 3443280 3529362 4677122 4705816 5882270 7015683 7058724 8823405 9354244 9411632 11692805 11764540 14031366 14117448 17646810 18708488 23385610 23529080 28062732 28234896 35078415 35293620 37416976 46771220 47058160 56125464 70156830 70587240 93542440 95881001 112250928 140313660 141174480 187084880 191762002 280627320 287643003 383524004 479405005 561254640 575286006 767048008 958810010 1150572012 1438215015 1534096016 1917620020 2301144024 2876430030 3835240040 4602288048 5752860060 7670480080 11505720120 23011440240