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24233544040 = 23547531072273
BaseRepresentation
bin10110100100011011…
…101000100101101000
32022112212200120220011
4112210123220211220
5344112241402130
615044400541304
71515346503616
oct264433504550
968485616804
1024233544040
11a306227352
124843921834
1323927c9794
14125c6706b6
1596c77452a
hex5a46e8968

24233544040 has 128 divisors (see below), whose sum is σ = 57291701760. Its totient is φ = 9217122304.

The previous prime is 24233544031. The next prime is 24233544103. The reversal of 24233544040 is 4044533242.

It is a junction number, because it is equal to n+sod(n) for n = 24233543993 and 24233544011.

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, 10660344 + ... + 10662616.

It is an arithmetic number, because the mean of its divisors is an integer number (447591420).

Almost surely, 224233544040 is an apocalyptic number.

24233544040 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 24233544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645850880).

24233544040 is an abundant number, since it is smaller than the sum of its proper divisors (33058157720).

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

24233544040 is a wasteful number, since it uses less digits than its factorization.

24233544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

The spelling of 24233544040 in words is "twenty-four billion, two hundred thirty-three million, five hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 53 94 106 107 188 212 214 235 265 376 424 428 470 530 535 856 940 1060 1070 1880 2120 2140 2273 2491 4280 4546 4982 5029 5671 9092 9964 10058 11342 11365 12455 18184 19928 20116 22684 22730 24910 25145 28355 40232 45368 45460 49820 50290 56710 90920 99640 100580 106831 113420 120469 201160 213662 226840 240938 243211 266537 427324 481876 486422 533074 534155 602345 854648 963752 972844 1066148 1068310 1204690 1216055 1332685 1945688 2132296 2136620 2409380 2432110 2665370 4273240 4818760 4864220 5330740 5662043 9728440 10661480 11324086 11430917 12890183 22648172 22861834 25780366 28310215 45296344 45723668 51560732 56620430 57154585 64450915 91447336 103121464 113240860 114309170 128901830 226481720 228618340 257803660 457236680 515607320 605838601 1211677202 2423354404 3029193005 4846708808 6058386010 12116772020 24233544040