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24230334440 = 2351321929929
BaseRepresentation
bin10110100100001111…
…011000111111101000
32022112122122112011002
4112210033120333220
5344110431200230
615044204054132
71515310305314
oct264417307750
968478575132
1024230334440
11a304434994
124842834348
132391c44900
14125c076b44
1596c33d545
hex5a43d8fe8

24230334440 has 144 divisors (see below), whose sum is σ = 62311445100. Its totient is φ = 8474858496.

The previous prime is 24230334419. The next prime is 24230334451. The reversal of 24230334440 is 4443303242.

It can be written as a sum of positive squares in 6 ways, for example, as 673610116 + 23556724324 = 25954^2 + 153482^2 .

It is a super-2 number, since 2×242303344402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2435396 + ... + 2445324.

Almost surely, 224230334440 is an apocalyptic number.

24230334440 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 24230334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31155722550).

24230334440 is an abundant number, since it is smaller than the sum of its proper divisors (38081110660).

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

24230334440 is a wasteful number, since it uses less digits than its factorization.

24230334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 24230334440 its reverse (4443303242), we get a palindrome (28673637682).

The spelling of 24230334440 in words is "twenty-four billion, two hundred thirty million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 169 190 247 260 338 361 380 494 520 676 722 760 845 988 1235 1352 1444 1690 1805 1976 2470 2888 3211 3380 3610 4693 4940 6422 6760 7220 9386 9880 9929 12844 14440 16055 18772 19858 23465 25688 32110 37544 39716 46930 49645 61009 64220 79432 93860 99290 122018 128440 129077 187720 188651 198580 244036 258154 305045 377302 397160 488072 516308 610090 645385 754604 943255 1032616 1220180 1290770 1509208 1678001 1886510 2440360 2452463 2581540 3356002 3584369 3773020 4904926 5163080 6712004 7168738 7546040 8390005 9809852 12262315 13424008 14337476 16780010 17921845 19619704 24524630 28674952 31882019 33560020 35843690 46596797 49049260 63764038 67120040 71687380 93193594 98098520 127528076 143374760 159410095 186387188 232983985 255056152 318820190 372774376 465967970 605758361 637640380 931935940 1211516722 1275280760 1863871880 2423033444 3028791805 4846066888 6057583610 12115167220 24230334440