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42288333480 = 23325266344111
BaseRepresentation
bin100111011000100101…
…001100001010101000
311001011010221220220100
4213120211030022220
51143101303132410
631232121425400
73024641621661
oct473045141250
9131133856810
1042288333480
1116a30730938
12824233b260
133cac1a1443
142092480368
1511778518c0
hex9d894c2a8

42288333480 has 96 divisors (see below), whose sum is σ = 137491810560. Its totient is φ = 11272398720.

The previous prime is 42288333463. The next prime is 42288333491. The reversal of 42288333480 is 8433388224.

42288333480 is a `hidden beast` number, since 4 + 228 + 83 + 3 + 348 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936625 + ... + 980735.

It is an arithmetic number, because the mean of its divisors is an integer number (1432206360).

Almost surely, 242288333480 is an apocalyptic number.

42288333480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42288333480 is an abundant number, since it is smaller than the sum of its proper divisors (95203477080).

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

42288333480 is a wasteful number, since it uses less digits than its factorization.

42288333480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46791 (or 46784 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 42288333480 in words is "forty-two billion, two hundred eighty-eight million, three hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2663 5326 7989 10652 13315 15978 21304 23967 26630 31956 39945 44111 47934 53260 63912 79890 88222 95868 106520 119835 132333 159780 176444 191736 220555 239670 264666 319560 352888 396999 441110 479340 529332 661665 793998 882220 958680 1058664 1323330 1587996 1764440 1984995 2646660 3175992 3969990 5293320 7939980 15879960 117467593 234935186 352402779 469870372 587337965 704805558 939740744 1057208337 1174675930 1409611116 1762013895 2114416674 2349351860 2819222232 3524027790 4228833348 4698703720 5286041685 7048055580 8457666696 10572083370 14096111160 21144166740 42288333480