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24102033040 = 2452389147179
BaseRepresentation
bin10110011100100101…
…111101011010010000
32022012201020010201101
4112130211331122100
5343330110024130
615023342114144
71512161620621
oct263445753220
968181203641
1024102033040
11a248a73178
12480787b954
1323714a2317
141248dd9a48
15960e481ca
hex59c97d690

24102033040 has 80 divisors (see below), whose sum is σ = 59131036800. Its totient is φ = 9117971456.

The previous prime is 24102033037. The next prime is 24102033041. The reversal of 24102033040 is 4033020142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×241020330402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24102032999 and 24102033017.

It is not an unprimeable number, because it can be changed into a prime (24102033041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90171 + ... + 237349.

It is an arithmetic number, because the mean of its divisors is an integer number (739137960).

Almost surely, 224102033040 is an apocalyptic number.

24102033040 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 24102033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29565518400).

24102033040 is an abundant number, since it is smaller than the sum of its proper divisors (35029003760).

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

24102033040 is a wasteful number, since it uses less digits than its factorization.

24102033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147304 (or 147298 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 24102033040 its reverse (4033020142), we get a palindrome (28135053182).

The spelling of 24102033040 in words is "twenty-four billion, one hundred two million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 89 92 115 178 184 230 356 368 445 460 712 890 920 1424 1780 1840 2047 3560 4094 7120 8188 10235 16376 20470 32752 40940 81880 147179 163760 294358 588716 735895 1177432 1471790 2354864 2943580 3385117 5887160 6770234 11774320 13098931 13540468 16925585 26197862 27080936 33851170 52395724 54161872 65494655 67702340 104791448 130989310 135404680 209582896 261978620 270809360 301275413 523957240 602550826 1047914480 1205101652 1506377065 2410203304 3012754130 4820406608 6025508260 12051016520 24102033040