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42040132800 = 263528758361
BaseRepresentation
bin100111001001110010…
…011000010011000000
311000111211221000120120
4213021302120103000
51142044233222200
631151333540240
73015536142561
oct471162302300
9130454830516
1042040132800
1116913617006
1281931a4680
133c6c93ba33
14206b512168
151160b759a0
hex9c9c984c0

42040132800 has 84 divisors (see below), whose sum is σ = 137926684776. Its totient is φ = 11210700800.

The previous prime is 42040132789. The next prime is 42040132829. The reversal of 42040132800 is 823104024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4374381 + ... + 4383980.

Almost surely, 242040132800 is an apocalyptic number.

42040132800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42040132800 is an abundant number, since it is smaller than the sum of its proper divisors (95886551976).

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

42040132800 is a wasteful number, since it uses less digits than its factorization.

42040132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758386 (or 8758371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42040132800 its reverse (823104024), we get a palindrome (42863236824).

The spelling of 42040132800 in words is "forty-two billion, forty million, one hundred thirty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 8758361 17516722 26275083 35033444 43791805 52550166 70066888 87583610 105100332 131375415 140133776 175167220 210200664 218959025 262750830 280267552 350334440 420401328 437918050 525501660 560535104 656877075 700668880 840802656 875836100 1051003320 1313754150 1401337760 1681605312 1751672200 2102006640 2627508300 2802675520 3503344400 4204013280 5255016600 7006688800 8408026560 10510033200 14013377600 21020066400 42040132800