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24441331240 = 23531371992677
BaseRepresentation
bin10110110000110100…
…010001111000101000
32100002100200021100101
4112300310101320220
5400023440044430
615121142315144
71523451613324
oct266064217050
970070607311
1024441331240
11a402548a07
1248a1428ab4
1323c687c3a1
14127c0bc984
15980b1adca
hex5b0d11e28

24441331240 has 128 divisors (see below), whose sum is σ = 58616064000. Its totient is φ = 9155773440.

The previous prime is 24441331231. The next prime is 24441331297. The reversal of 24441331240 is 4213314442.

It is a junction number, because it is equal to n+sod(n) for n = 24441331199 and 24441331208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9128782 + ... + 9131458.

It is an arithmetic number, because the mean of its divisors is an integer number (457938000).

Almost surely, 224441331240 is an apocalyptic number.

24441331240 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 24441331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29308032000).

24441331240 is an abundant number, since it is smaller than the sum of its proper divisors (34174732760).

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

24441331240 is a wasteful number, since it uses less digits than its factorization.

24441331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 24441331240 its reverse (4213314442), we get a palindrome (28654645682).

It can be divided in two parts, 244413 and 31240, that added together give a triangular number (275653 = T742).

The spelling of 24441331240 in words is "twenty-four billion, four hundred forty-one million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 148 155 185 199 248 296 310 370 398 620 740 796 995 1147 1240 1480 1592 1990 2294 2677 3980 4588 5354 5735 6169 7363 7960 9176 10708 11470 12338 13385 14726 21416 22940 24676 26770 29452 30845 36815 45880 49352 53540 58904 61690 73630 82987 99049 107080 123380 147260 165974 198098 228253 246760 294520 331948 396196 414935 456506 495245 532723 663896 792392 829870 913012 990490 1065446 1141265 1659740 1826024 1980980 2130892 2282530 2663615 3070519 3319480 3961960 4261784 4565060 5327230 6141038 9130120 10654460 12282076 15352595 16514413 19710751 21308920 24564152 30705190 33028826 39421502 61410380 66057652 78843004 82572065 98553755 122820760 132115304 157686008 165144130 197107510 330288260 394215020 611033281 660576520 788430040 1222066562 2444133124 3055166405 4888266248 6110332810 12220665620 24441331240