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42703430724 = 22325379491577
BaseRepresentation
bin100111110001010100…
…101010010001000100
311002020002001001021100
4213301110222101010
51144424034240344
631341230420100
73041142113013
oct476124522104
9132202031240
1042703430724
1117123a78609
128339361630
13404719a706
1420d1654a7a
15119dee8569
hex9f152a444

42703430724 has 144 divisors (see below), whose sum is σ = 111793893120. Its totient is φ = 13737185280.

The previous prime is 42703430689. The next prime is 42703430747.

42703430724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74009124 + ... + 74009700.

It is an arithmetic number, because the mean of its divisors is an integer number (776346480).

Almost surely, 242703430724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42703430724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55896946560).

42703430724 is an abundant number, since it is smaller than the sum of its proper divisors (69090462396).

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

42703430724 is a wasteful number, since it uses less digits than its factorization.

42703430724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 42703430724 in words is "forty-two billion, seven hundred three million, four hundred thirty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 79 106 158 159 212 237 316 318 474 477 491 577 636 711 948 954 982 1154 1422 1473 1731 1908 1964 2308 2844 2946 3462 4187 4419 5193 5892 6924 8374 8838 10386 12561 16748 17676 20772 25122 26023 30581 37683 38789 45583 50244 52046 61162 75366 77578 78069 91166 91743 104092 116367 122324 136749 150732 155156 156138 182332 183486 232734 234207 273498 275229 283307 312276 349101 366972 410247 465468 468414 546996 550458 566614 698202 820494 849921 936828 1100916 1133228 1396404 1640988 1699842 2055817 2415899 2549763 3399684 4111634 4831798 5099526 6167451 7247697 8223268 9663596 10199052 12334902 14495394 15015271 18502353 21743091 22381253 24669804 28990788 30030542 37004706 43486182 44762506 45045813 60061084 67143759 74009412 86972364 89525012 90091626 134287518 135137439 180183252 201431277 268575036 270274878 402862554 540549756 805725108 1186206409 2372412818 3558619227 4744825636 7117238454 10675857681 14234476908 21351715362 42703430724