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42332312400 = 2435275039561
BaseRepresentation
bin100111011011001100…
…111101001101010000
311001021012201021122020
4213123030331031100
51143144032444100
631240332211440
73026014501260
oct473314751520
9131235637566
1042332312400
1116a53539954
128255009b80
133cb832c081
14209824b7a0
15117b63c5a0
hex9db33d350

42332312400 has 120 divisors (see below), whose sum is σ = 154976610624. Its totient is φ = 9675955200.

The previous prime is 42332312369. The next prime is 42332312401. The reversal of 42332312400 is 421323324.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42332312401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2511381 + ... + 2528180.

Almost surely, 242332312400 is an apocalyptic number.

42332312400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42332312400 is an abundant number, since it is smaller than the sum of its proper divisors (112644298224).

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

42332312400 is a wasteful number, since it uses less digits than its factorization.

42332312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039589 (or 5039578 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42332312400 its reverse (421323324), we get a palindrome (42753635724).

The spelling of 42332312400 in words is "forty-two billion, three hundred thirty-two million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 5039561 10079122 15118683 20158244 25197805 30237366 35276927 40316488 50395610 60474732 70553854 75593415 80632976 100791220 105830781 120949464 125989025 141107708 151186830 176384635 201582440 211661562 241898928 251978050 282215416 302373660 352769270 377967075 403164880 423323124 503956100 529153905 564430832 604747320 705538540 755934150 846646248 881923175 1007912200 1058307810 1209494640 1411077080 1511868300 1693292496 1763846350 2015824400 2116615620 2645769525 2822154160 3023736600 3527692700 4233231240 5291539050 6047473200 7055385400 8466462480 10583078100 14110770800 21166156200 42332312400